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The Wizard Himself - FAQ

O Wizard, I have a request for your next book publication – could you make it more compact? A smaller edition that can easily fit into a handbag would be wonderful.

Maryanne S. from Redmond, Washington

My current publication measures 5.5 inches by 8.5 inches. Unfortunately, I don't have any plans to release another edition in the near future.

What method did you use to calculate the house edge in blackjack?

John C. from London, Canada

I developed my own combinatorial program that examines every possible outcome while maintaining a tally of results based on their likelihood. My calculations are quite precise, except when it comes to situations involving the re-splitting of pairs.

Your website dedicates considerable space advising that no system can outsmart the house edge. What motivates you to play casino games, knowing that you ultimately face a loss?

Yvan from Quebec, Canada

On the rare occasions I engage in games with a negative expectation, I do it primarily for enjoyment. pai gow (tiles) The only game I truly find enjoyable enough to play without any edge is poker.

Your site is intriguing. Do you earn your living as a gambler? Have you explored the odds associated with trading stock index futures?

Randy from Aurora, Illinois

I'm interested in learning more about futures trading, but currently, my schedule is too packed. I earn my income through advertisements on this site (please support by clicking the banners) and consulting for analysis on new casino games.

Are the probability figures for craps with the odds completely reliable? Is the gaming sector your primary profession, and do you frequently visit Atlantic City? Additionally, how do you conduct simulations for billions of hands, spins, and rolls? Is this done using computer software?

DB from New York, USA

While anyone can make errors, craps is fundamentally straightforward to analyze mathematically, so I am confident in my odds calculations for that game. Yes, gambling in one form or another is my full-time self-employed profession. I've visited Atlantic City numerous times in recent years, but just two months ago, I relocated to Las Vegas, so I won’t be visiting Atlantic City much anymore. I prefer a combinatorial method instead of random simulations whenever applicable. I use my own software created in Visual C++, and for generating random numbers, I use a Mersenne Twister .

Will you inform us when you will be appearing on the Travel Channel?

Gil from Saint Petersburg

I intend to reach out to my newsletter subscribers regarding this. Since you’re inquiring, it should be broadcast in April or May on a show likely titled 'The Top Ten Ways to Win.' I've participated in radio and television interviews before, and I always find it hard to watch or listen to myself afterward, feeling I could have performed better; therefore, I don’t plan to promote it heavily.

What is the largest sum of money you’ve won after leaving a blackjack table?

Joseph from Shelton, Connecticut

Approximately $800. I tend not to wager substantial amounts. There was a time I lost even more while trying to chase a 2 to 1 blackjack promotion at an online casino.

Michael, I spotted you on the Travel Channel recently from Vegas, offering your expert views on the house advantage. Impressive work! I didn't realize you were so young. I was playing craps at the newly opened Seneca/Niagara casino and informed the dealer to activate the odds on a don’t come bet during the come-out roll. He said the odds are always active for that bet. Was he correct?

Gordon from Niagara Falls

Thank you for the flattering comments regarding my Travel Channel segment. For those who missed it, the episode was called Sucker Bets. The dealer was accurate; typically, bets are turned off on a come-out roll since a seven would lead to a loss for the player. They likely prefer to avoid players disrupting the table's atmosphere by rooting against a seven on the come-out roll. Because a seven would allow the don’t pass odds to win, those remain active.

Your Money Management page says:

If you find yourself losing excessively and regretting it, some self-imposed limits may be advisable. I recommend establishing a maximum loss threshold, say $200. Personally, I don't adhere to such limits. If I have lost excessively, it ceases to be enjoyable, and I withdraw for that reason.

But how do you define 'too much'? On your excellent website, you consistently caution against relying on instinct. Yet when it comes to losses, you mention you stop when it no longer feels enjoyable. When I play video poker, I determine a maximum bankroll, and I promptly stop when I hit that limit. Losing is unpleasant, whether it's one credit or three hundred.

anonymous

You are correct in noting that I don’t provide detailed guidance on money management. Unlike many gambling authors, I avoid placing significant emphasis on how much to wager or when to leave a game. For casual gamblers, no money management approach will change the house edge in the long run, so why focus on it? While I provide detailed strategies for playing your hand, the amount you choose to bet is your decision. There should always be some room for personal choice in gambling. Nonetheless, I emphasize that if gambling stops being fun due to substantial losses, it's definitely time to step back.

I truly enjoy your website. This morning, I was reading your experiences with gambling. reviews of online casinos Your encounters led to significant losses on your deposits, which was a bit disheartening. Then I noticed your call for donations, and it clarified your reasons behind it!

anonymous

Since I began gambling online four years ago, I've gained approximately $20,000, with half of that attributed to the Golden Palace. The reviews you see reflect just my latest experiences, and like anyone else, I occasionally endure losing streaks for a month or two. However, I recently won $786 at a particular site and $2,317 at Casino Kingdom. My request for donations isn't to sustain a losing gambling habit; instead, they help me keep this site available for everyone at no charge. In reality, donations come via PayPal, which I usually use for purchases on eBay. Casino.Net Does cracking one's knuckles lead to larger knuckles?

Despite common belief, I consider knuckle cracking to be perfectly safe. My chiropractor has frequently adjusted my back and neck, and I have benefited from it.

anonymous

Many of today's senior managers in casinos have an educational background similar to yours instead of coming up through the gaming floor. I was just curious if, given your passion for gaming, you have ever thought about crossing over into casino management.

I find it tiresome that professional gamblers label those involved in casino operations as part of the 'dark side.' Casinos generate thousands of job opportunities nationwide, contribute revenue to governments, and provide entertainment for millions. Although I recall reading that around 90% of visitors to Las Vegas leave with losses, 95% depart feeling happy. The opposing side is quick to claim that casinos exacerbate the problem of compulsive gambling. While it's true some individuals misuse what should be enjoyed responsibly, I advocate that the majority shouldn’t be denied the chance to gamble due to a minority's issues. In essence, I believe the benefits of legalized gambling significantly outweigh the drawbacks.

anonymous

I openly acknowledge that I offer consulting services to casinos and gambling businesses. I need to do this because the revenue from this site isn't sufficient to support my family. My bankroll isn't large enough to solely rely on professional gambling for my living. Nevertheless, I don't excuse my actions. To address your inquiry, yes, I would consider working in casino management if the right opportunity presented itself.

Have you ever encountered any particularly silly questions?

Hi Mike, just trying to bring a little levity, I remember watching you on a special Vegas Challenge episode playing roulette. I'm aware that your expected value remains unchanged regardless of your strategy. I recall you betting on a single number, but I can't remember if you changed it after winning. I'm curious if you opted for the single number to maximize volatility, potentially leading to a larger win than an outside bet like red/black. I found it amusing how conservative and uneventful your strategy appeared.

anonymous

Don’t get me started.

Boxers or briefs?

anonymous

Briefs.

Your assessment of my strategy is spot on. My goal was to bet the minimum for most of the hour to avoid being ground down by the house edge. The producer was dissatisfied with that 'dull' approach, so I attempted to appear more animated than usual. The reason for selecting a single number instead of an even money bet was that I sought greater volatility. I knew that if I ended close to my starting bankroll of $10,000, I would likely lose, so I aimed for a better chance of gaining ground. I consistently bet on 23 but did add 5 towards the end. I'm glad you enjoyed the show.

anonymous

Given your prominent reputation and expertise in gambling, statistics, house odds, and related subjects, do local casinos still permit you to play at their blackjack tables, considering your well-known skills as a card counter?

I choose not to count cards while in Las Vegas. Because I reside here, I want to avoid creating animosity with prospective clients. Therefore, I’m permitted to play blackjack at almost all local casinos except for two. However, during my trip to Reno and Lake Tahoe last January, four different casinos instructed me not to play blackjack.

anonymous

Recently, I watched an episode featuring a high-roller, I believe, playing blackjack. He seemed to lose increasingly and began tearing up the cards! I assumed this was a significant breach of etiquette, if not a violation of gaming regulations, but when asked to stop, he was outraged by the request! Is such behavior generally tolerated, or is this person simply accustomed to getting away with it because of his substantial losses, or is it something else entirely?

The Wizard Himself - Frequently Asked Questions - Wizard of Odds

anonymous

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A little suggestion, dear Wizard—when you're ready to publish your next book, could you consider a smaller size? Maybe a compact edition that could easily fit into a handbag?

anonymous

My current publication measures 5.5 inches by 8.5 inches. Unfortunately, I don't have any plans to release another one in the near future.

What method did you use to calculate the house edge in blackjack? craps experiment ) versus playing?

anonymous

I developed my own combinatorial software that examines every possible event, keeping track of outcomes as they relate to their probabilities. Unless it concerns re-splitting pairs, I can confidently state that my figures are accurate.

You spend a considerable amount of your website discussing how no betting system can overcome the house edge. I'm curious as to what motivates you to keep playing casino games even when you understand that ultimately you'll lose?

anonymous

The few instances in which I play a game with negative expectation are purely for entertainment value.

Quit gambling.

anonymous

But it is so much fun.

It's the only game I genuinely enjoy playing without an advantage.

anonymous

Your website is fascinating. Do you earn a living by gambling? Have you considered the odds in trading stock index futures?

I'm tempted to delve deeper into futures trading, but my schedule is currently too packed. My income stems from advertisement earnings on this site (please click the banners) as well as consulting fees for evaluating new casino games.

anonymous

Are your craps probability calculations with odds completely reliable? Is working in the gaming industry your full-time job, and do you frequently visit Atlantic City? Also, how do you simulate countless hands, spins, and rolls? Is that done through a computer program and if so, what software do you use?

[Update: The Wizard’s book Gambling 102 was published in Spring 2005.]

While anyone can make errors, craps lends itself quite well to mathematical analysis, so I'm very confident in my odds calculations for that game. Yes, gambling, in one form or another, is my sole profession. I've visited Atlantic City numerous times in recent years, but I relocated to Las Vegas about two months ago, so my visits there will definitely be less frequent. I favor a combinatorial analysis over random simulations whenever possible. That said, my simulations are created using Visual C++. For generating random numbers, I utilize a

anonymous

Will you let us know when your segment airs on the travel channel?

I intend to inform my newsletter subscribers. Since you asked, it should be broadcast sometime around April or May in a program likely titled 'The Top Ten Ways to Win.' I've participated in radio and television interviews before, but I often find it hard to bear watching or listening to them afterward. I feel like I could have performed better, so I won’t make a big deal out of it.

anonymous

What’s the largest sum of money you've ever walked away with after a blackjack game?

I believe around $800. I'm not a particularly high-stakes gambler. There was a time I lost even more than that while chasing a 2 to 1 blackjack promotion at an online casino.

Kelly B.

Michael, I saw your segment on the travel channel from Las Vegas recently, where you shared your insights on house advantage. Great job! I didn't realize you were so young. While playing craps at the new Seneca/Niagara casino, I told the dealer to have the odds working on a don't come bet during the come out roll. He mentioned that the odds are always working for that specific bet. Was he right?

Thank you for the compliments regarding my appearance on the Travel Channel. For those who missed it, the episode was called Sucker Bets. The dealer's statement was correct. Typically, bets are turned off on a come out roll when a seven could result in a loss for the player. They likely want to maintain a positive atmosphere at the table by avoiding players rooting against a seven on the come out roll, since a seven could result in a win for the don't pass bets.

anonymous

For individuals who sometimes gamble too much and later regret it, I recommend establishing some limits. For example, you might set a specific loss cap at $200. Personally, I don't impose those kinds of limits on myself. If my losses reach a point where I'm no longer having fun, I'll just take a break for that reason.

But for you, how do you define 'too much'? On the other pages of your fantastic site, you caution against relying on gut instincts. Yet when it comes to losses, you mention stopping when it stops feeling enjoyable. Particularly with video poker, I determine a bankroll limit and cease playing once I hit that limit. Losing is always unpleasant, whether it's one credit or 300.

anonymous

You're right that I tend to be vague about money management. Unlike many gambling authors, I don't stress the specifics of how much one should bet or when to leave a table. For recreational players, there's no money management technique that can significantly alter the house edge over time, so why focus on it? While I provide detailed advice on gameplay, how much you choose to wager is really up to individual preference. After all, there should be some freedom in gambling. However, I do advise that if you've lost enough that gambling no longer feels enjoyable, it’s time to step away.

  1. I'm a big fan of your website. This morning, I was going through your
  2. and noticed how your experiences often lead to losing everything you deposit. That was somewhat disheartening. Then I came across your request for donations and it clicked why you do that!
  3. Since I began gambling online four years ago, I have gained approximately $20,000, with about half of that amount coming from Golden Palace. What you read in my reviews reflects only my latest experiences; like everyone, I face losing streaks sometimes. However, I recently earned $786 at
  4. and $2317 at Casino Kingdom. Therefore, my request for donations is not to support a losing gambling habit. Donations simply aid in maintaining this website for free to the public. Although I typically receive donations via PayPal, I mostly use those funds to shop on eBay.
  5. Does cracking your knuckles actually lead to larger knuckles?

Contrary to what many believe, I am of the opinion that cracking your knuckles is completely safe. My chiropractor has cracked my back and neck numerous times, and it has significantly improved my condition.

A lot of senior executives in casinos share educational backgrounds similar to yours rather than moving up through the gaming industry. I was curious if, given your interest in gaming, you have ever thought about crossing over to the management side of casinos.

I'm quite weary of professional gamblers labeling those employed in or by casinos as part of the 'dark side.' Casinos create thousands of jobs nationwide, generate government revenue, and provide entertainment for millions. I can't remember my source, but I once read that around 90% of Las Vegas visitors leave with losses, yet 95% leave feeling happy. Those on the other side often argue that casinos aggravate compulsive gambling issues. Yes, some individuals do misuse what should be enjoyed in moderation. However, I'm convinced that the advantages of legalized gambling should outweigh the complications posed by a minority. In simpler terms, I believe the positive aspects of gambling far surpass any associated drawbacks. NFL picks I openly acknowledge that I provide consulting services to casinos and gaming companies. This is necessary since this site doesn't generate sufficient revenue to support my family. My bankroll isn't substantial enough to make a living purely as a professional gambler. That said, I won't apologize for my actions. To answer your question directly, if presented with the right opportunity, I would indeed consider a position within casino management.

Stan from Coconut Creek

Have you ever encountered any particularly foolish questions?

Hey Mike, just to lighten things up a bit, I recall watching you on a special Vegas Challenge show playing roulette not too long ago. It was clear you understood that your expected value remained unchanged, regardless of your betting strategy. I remember you placed a bet on just one number, but forgot if you made adjustments after a win. If I were in your shoes, I’m not sure what I'd do, but out of pure curiosity, did you stick with a single number to maximize variance instead of opting for an outside bet like red or black? That way, if luck was on your side, you'd gain the most? Anyway, I appreciated your conservative and somewhat uneventful betting approach.

Mike from Miami

Because it is so much fun!

You understood my strategy quite well. My plan was to wager the minimum for much of the hour to prevent the house edge from chipping away at my bankroll. The producer wasn't thrilled with such a dull strategy, so I tried to amp up my excitement level more than usual. I went for a single number over an even money bet because I aimed for higher volatility; I realized if I ended up close to my initial stake of $10,000, I would likely incur a loss. Hence, I was looking for a better possibility of ending up ahead. I remained committed to bet on 23 the entire time, although as I neared the end I included 5 as well. I’m glad you found the show enjoyable.

Jason from Boston

Given your reputation and esteemed knowledge about gambling, statistics, and house odds, do local casinos still permit you to play at their blackjack tables, especially since you are an experienced counter?

I abide by a personal rule not to count cards while in Las Vegas. Since I reside here, I want to avoid creating animosities with potential clients. Thus, I'm allowed to participate in blackjack at all but two local casinos. However, during a trip to Reno and Lake Tahoe last January, I was explicitly told not to play blackjack at four different establishments.

Mike from Vegas

Recently, I watched an episode featuring a so-called 'high-roller' at the blackjack tables. The individual began losing more frequently and started tearing the cards up! I would have assumed that such behavior was a serious breach of etiquette, if not against gaming regulations. However, when asked to stop tearing up the cards, he reacted with surprise and insult. Is this typical behavior that others may have observed but isn't often discussed, or is this particular person simply accustomed to being allowed such actions due to losing large sums of money?

Baccarat is a unique game in the world of casinos, particularly at larger tables, because it permits players to handle the cards in ways that other games do not allow. The reasoning behind this practice comes from observations of Asian players, who tend to bend the cards as they sneak peeks at them, resulting in each card being used just once. Consequently, since dealers replace the cards after every single use, casinos find it reasonable to allow players to manipulate them. It's important to note that card identification offers little strategic advantage in baccarat; unlike blackjack, where the dealer has a hole card, players have no options to hit or stand. Gaming regulations also require that all cards be visible on surveillance tapes for any disputes, preventing players from destroying cards before the cameras can record them. The situation mentioned in the show you referenced reflects misunderstandings on both sides, which fostered negative sentiments that were evident in the broadcast. If I were managing that casino, I would have clarified the rules and requested that the player leave the card face-up on the table prior to tearing it up.

Peter from Ottawa, Canada

By the way, I will be appearing on The Casino this season. The storyline revolves around some college students who are aiming to transform $1000 into $5000 as swiftly as possible. They seek my insights on reaching this ambitious target.

Update: Unfortunately, that episode never aired, likely due to my involvement. 9-6 Jacks or Better Do you have any upcoming TV spots? I recall something related to a blackjack team, so I am curious if that will feature in next week’s episode. (Just to add, I think American Casino on TLC is significantly better than The Casino on Fox! I don’t believe gambling should be mixed with sex appeal).

anonymous

Yes, I'm scheduled to appear in an upcoming episode of The Casino, though I don't have the specific air date yet. My role is to guide some college students as they attempt to turn $1000 into $5000. I share your view that American Casino is the superior program. Double Double Bonus Poker Typically, how much time do you find yourself spending in casinos? Of that time, how much is dedicated to watching or observing?

My time in casinos can fluctuate considerably, but generally, it averages out. Some weeks I might be there a lot, while in others, not at all. If pressed for a rough average, I would say around two hours per week, with about 90% of that time spent actually playing rather than just observing. For instance, during the dice setting experiment, I was involved in betting, hoping to win some money alongside the dice setters.

Gary

Since your focus seems to be on gaining an advantage over the house, do you find yourself playing just for enjoyment at any point, whether it's at table games, on slots, or in poker? Or is your play strictly limited to counting blackjack or playing progressive video poker up to a certain target? Or do you refrain from playing altogether? I think many of your followers would find that interesting, though you might prefer to keep your hosts unaware!

Republican Primary

Candidate Probability
Giuliani 40.0%
Thompson 8.4%
Romney 28.5%
Paul 6.7%
McCain 7.0%

Democratic Primary

Candidate Probability
Clinton 71.0%
Obama 12.3%
Gore 8.2%
Edwards 4.9%

Party to Win

Candidate Probability
Democrat 63.0%
Republican 35.8%
Other 1.2%
You can use my sports betting appendix 5 I only play for fun when I'm entertaining someone visiting Las Vegas and we hit the casinos together. Otherwise, I always seek out a strategic edge. Sometimes, I try out new games to familiarize myself with the rules. While I prefer to keep the specifics of my strategies under wraps, I can say that both card counting and positive expectation video poker are part of my approach.

I read I’d like to ask whether you provide your real name, address, phone number, and birthdate when registering with online casinos.

Joe from Nashville

Yes, I provide all that information. If some not-so-reputable casinos discover you’ve given false details, they may use that to avoid paying out your winnings. Moreover, personal info is relatively easy for those intent on identity theft to obtain. A while back, Crazy Vegas casino even requested my Social Security number, which I felt was over the line, so I provided a fake one instead. And whenever asked for my mother's maiden name, I just mention my cat's name. this video In one of your earlier articles, you referenced a manuscript for a book that you weren't able to publish. What was the book about? Is it available anywhere? I'm curious because about two decades ago, I drafted a book on odds and gambling that aimed to simplify Allan Wilson’s work. I reached out to Stanford Wong, seeking his feedback, and while he was open to reviewing it, he advised against writing it altogether, suggesting there were already too many gambling books out there. As a result, I abandoned the idea of publishing.

In 2007 the highest tax bracket Yes, I wrote a manuscript on gambling four years ago and pitched it to different publishers, with Huntington Press being the only one willing to take it on. However, after three years and four revisions, the book has yet to be published. The market is already saturated with gambling literature, so I ponder Stanford's advice of not spending your time on it. I’ve since come to realize that an author's name carries more weight in sales than the actual content. An unknown author faces significant challenges in publishing any gambling-related book. If you’re looking to publish, consider establishing your notoriety first. standard deduction The Daniel Rainsong challenge was intriguing. After some reflection, I’ve come to two conclusions: 1. Daniel sought a professional assessment of his betting system to validate its positive expectation; 2. He deemed it more favorable to risk $2000 for a potential $20000 return than to pay someone like you to evaluate his strategy. I’m uncertain about your fees for game analysis, but I suspect they might exceed $2000 in this case. Hence, utilizing the Wizard’s Challenge was a clever strategy on his part, regardless of the slim odds of success. Moreover, your choice to take on the challenge and forgo the surrender option demonstrated even greater foresight. Ironically, this narrative may generate even more poorly conceived systems. What’s your take on that?

I offered Mr. Rainsong a straightforward no-bet analysis for $1000, which he turned down, firmly believing in his chances of success. It's true that those who possess less evidence are often the most fervent believers. My typical fee for analyzing games exceeds $2000, but this instance involved a mere simulation. All I needed to do was adapt my existing blackjack simulator to the rules of his strategy. Not surprisingly, even though Mr. Rainsong's system didn’t pass my evaluations, he still garnered numerous interested parties. My responsibility is to convey the reality that systems fail over time. What people choose to do with my insights is up to them. Social Security tax If you were to wager $50 on each play, which option would you prefer between these two video poker games (assuming both feature identical payout schedules and you wager five coins per hand): single-play at $10 or ten-play at $1 per hand? I appreciate your time and consideration.

In theory, both options offer the same expected payout. However, I would favor the ten-play option due to lower volatility, and I find it to be more enjoyable.

Thank you for sharing your knowledge! I value it greatly. One question I imagine you get asked frequently, yet it’s not covered on your site, is... How much have you profited from gambling? With your extensive involvement, has it been worth it? Is there still a house edge, even with all your expertise? Or do you turn a profit, albeit insufficient to live comfortably off of it? Additionally, if financial security were not a concern, would you still continue to teach and share your knowledge?

I dedicate considerable time to analyzing bets and do reasonably well, but it is insufficient for a living. For example, last year my bets won a total of $26,843.14; however, I also lost $9,491.50 supporting other gamblers when I believed I had an edge. I'm currently focused on growing my bankroll and exploring more profitable opportunities to hopefully increase the proportion of income I earn through gambling in the future. It's important to highlight that while gaining an advantage over the casino is attainable, it demands significant effort for relatively minor benefits. Should I reach a point where gambling allows me to maintain a living, I still plan to keep my website active and continue teaching my casino math course at UNLV. However, I aim to phase out my consulting work and eventually stop once other income streams take precedence.

I came across the fact that your Ties Win Blackjack is undergoing field trials in Laughlin, Nevada. What type of permit was necessary for that, and what did it cost?

A specific permit for trialing a new game was necessary, as opposed to a 'variation' permit, which is cheaper. For a new game, the permit fee is $3000, and I had to complete an extensive array of documentation, including a detailed employment and residency history for the last 20 years. The waiting period to receive approval was six months, which was actually shorter than my initial expectations.

I have finally secured a job in Vegas, and my family will be relocating within the next month. Which neighborhoods in Vegas are considered nice, and are there any areas that are less desirable?

For families, the most desirable neighborhoods are indeed Henderson and Summerlin. Personally, I reside in a planned community known as Peccole Ranch, which is adjacent to Summerlin. From my perspective, the west side, where I live, is superior because:

It has a similar aesthetic to Orange County, California, while much of Henderson appears quite uniform and generic. gambling fallacies .

Best Regards,

Kevin A. (Dallas)

The west side boasts a higher elevation, leading to cooler summer temperatures.

  1. Henderson is often disrupted by the noise from landing aircraft.
  2. The west side is adjacent to the mountains, providing fantastic opportunities for hiking and climbing.
  3. Development on the west side seems to follow a more thoughtful and organized plan.

anonymous

  1. The two-player table Although some residents from Henderson might argue that their area experiences less traffic, I believe that both sides have valid points, and personally, I find the west side preferable in this regard as well. I’m sure I’ll receive feedback from someone in Henderson about this, and I am open to sharing counterarguments in the future, as I support presenting all viewpoints. three to eight The less desirable parts of Vegas are primarily around downtown, with the environment gradually improving as you move farther out. In terms of growth, there are numerous developments happening on the south side along I-15 and the north side along U.S. 95.
  2. Are you a true Packers fan? I am. It seems like you're betting based on loyalty, and unfortunately, the Packers are not performing to expectations.
  3. . It's impressive to see such a high percentage, even considering that the Packers didn't perform as expected for you. I thought you might find that observation interesting. May 1999 This isn't about being loyal to a team. My assessment ranked them as the fifth best team following the end of the 2004 season, and I've continued to apply that ranking into the 2005 season. However, perhaps my approach is not responsive enough to more recent developments in the league, which is something I need to consider further. 2005 season , which was an abject failure.

Dear Wizard, you really take the time to clarify how the odds always seem to favor the casinos. Given that, I'm curious—what would compel anyone to engage in gambling?

Christina from

You've openly acknowledged that you utilize card counting strategies in casinos. What’s the reason casinos still allow you to play? UCSB I was once recognized in Reno while counting cards, possibly because a dealer who knew me personally reported it. It’s quite a lengthy and unusual tale. In any case, I don't gamble frequently or at high stakes, so the risk I pose to the casino is quite minimal, and it wouldn’t be worth their while to remember another face. Social Security Administration As a dealer, I hear players often talking about 'Fuzzy Math' and I consistently check your website when I have inquiries regarding game odds. I only give advice if someone specifically asks for it, as I believe people should have the freedom to spend their hard-earned money however they want. My curiosity lies in whether you find yourself cringing when someone at the table makes a mathematical mistake, and if so, do you choose to remain quiet, or do you correct them?

I tend to cringe and remain silent. It’s my principle not to offer advice unless requested. Why start a debate? Furthermore, my goal isn’t to persuade everyone to adopt the best strategies. Casinos need poor gamblers to support the successful ones.

Second, at least consider the National Security Agency I've been a devoted fan for many years. I appreciate your continued innovation. I just caught a program on CGTV (Canadian Gaming TV) called 'Casino Life' that focused on Caribbean Stud Poker. The host praised you and your website, mentioning your strategy for the game. Later, I noticed that you were acknowledged. Does this recognition bring you any income, or is it simply beneficial publicity?

I appreciate the kind feedback. Yes, I did grant Casino Life permission to feature my material, and I'm pleased they provided such a positive mention. However, they did not compensate me for it, nor have I ever received payment for my appearances on the Travel Channel in the United States. I participate mainly for the enjoyment and exposure.

On the 'Vegas FAQ' segment of the Travel Channel, you suggested the use of certain machines. However, the specific machine you showcased had a short payout in the 9-6 category, paying only 1 for two pairs instead of the standard 2, thus giving the house an additional 5% edge. It’s a common trick casinos employ to adjust the house advantage.

I anticipated someone would eventually address that issue. It wasn’t me who displayed that machine; the producers misinterpreted my reference to be about 9/6 Jacks or Better. Later, I noticed during the editing phase that they showed someone highlighting a 9/6 game instead, which actually offers a return of 98.98%. This is considerably worse than the 99.54% return you get from 9/6 Jacks or Better. It was an awkward situation for me, reminiscent of the numerous editing errors in my earlier Casino Player publications where I had no control.

FinsRule

What are your thoughts regarding bets on presidential futures? For example, betting on which candidate might win their primary or the overall election? Is there a way to calculate the house edge in such situations? Would you seriously contemplate engaging in these kinds of bets for actual money? Personally, I think observing betting lines could provide better insights into election outcomes compared to polls. Do you believe there’s merit in that?

  1. Absolutely, I do place bets on elections. My largest wager yet was in 1996 when I bet on Clinton to beat Dole at even odds. That turned out to be one of my most prudent bets. I've been placing wagers in every election since then, usually against friends. On prominent online platforms that accept political bets, I feel the market is nearly efficient. Basically, it seems to be on point, and those odds can be indicative of each candidate's probability of winning. Presently, I find TradeSports to be a reliable source for election odds. As I write this on September 29, 2007, the odds reflect certain probabilities of victory.

    (1) c+s=57
    (2) c-5=s
    Substituting equation (2) in equation (1):
    c+(c-5)=57
    2c-5=57
    2c=62
    c=31
    s=31-5=26

    When it comes to calculating the overall house edge for any type of futures wager, particularly in politics, my intuition suggests that generally, backing the front-runners may be the way to go. For instance, I would gladly purchase a contract on Hillary Clinton if I had a TradeSports account. Just my two cents.

  2. It's been noted that Warren Buffet, the world's third wealthiest individual, expressed frustration that he only pays a 17.7% federal tax rate, while his secretary pays 30%. I find that to be quite shocking. Could you provide your insights?
  3. Typically, I would say this topic lies outside my expertise. However, having worked as a government actuary for eight years, I possess some knowledge about taxes. From my research, I’ve come across information suggesting that most of Warren Buffett’s income is categorized as capital gains, which are taxed at a mere 15%. As surprising as it may be, that’s what the tax laws permit. What perplexes me is why his secretary's rate would be as high as 30%. According to reports, she was calculating 'payroll and income taxes,' which likely included Social Security and Medicare taxes. So, let’s examine whether 30% is a reasonable overall federal tax rate for her.
  4. Buffett's income could have been taxed at 35%, but that only applies to income exceeding $349,700. Income up to that threshold is taxed at considerably lower rates. Let’s assume his secretary was single, without dependent children, and earning $100,000. Initially, we can deduct the standard deductions; in 2007, for single filers, the minimum deduction was $5,350, and the personal exemption was $3,400. Thus, we arrive at $100,000 - $5,350 - $3,400 = $91,250 in income subject to taxation. The tax rates in 2007 for single filers were 10% for the first $7,825 of income, followed by 15% up to $31,850, 25% up to $77,100, and then 28% up to $160,850. So her projected income tax would be calculated as =0.1*$7,825 + 0.15*($31,850-$7,825) + 0.25*($77,100-$31,850) + 0.28*($91,250-$77,100) = $19,660.75. This makes it only 19.7% of her total income. All my assumptions, including her income level, filing status, or not itemizing deductions, worked against her or supported a higher tax rate.
  5. Now let's consider the Social Security and Medicare contributions, which in 2007 had a rate of 6.2% for incomes up to $97,500, after which it ceases to apply. The 2007 Medicare tax was 1.45%, without a cap. Therefore, her total tax for Social Security and Medicare would be calculated as 6.2% * $97,500 + 1.45% * $100,000 = $7,495. Including these taxes, her total tax rate comes to ($19,660.75 + $7,495)/$100,000 = 27.2%. However, that still leaves us 2.8% short of the 30% mark.
  6. My hypothesis is that she might also be accounting for the employer's contribution toward Social Security and Medicare taxes as part of her own tax burden. For those unfamiliar, these taxes are effectively doubled since employers cover half of them. Nevertheless, there’s an argument to be made that ultimately, employees bear the cost entirely. It’s a sentiment I can empathize with, particularly as a self-employed individual who pays both portions. If we consider the total of Social Security and Medicare taxes, then the rate becomes ($19,660.75 + 2*$7,495)/$100,000 = 34.7%. I suspect the 4.7% discrepancy arises from her earning less than $100,000, being married, having dependent children, itemizing deductions, or some mix of these factors.
  7. Warren Buffett is unlikely to be affected by Social Security and Medicare taxes. Firstly, the wage cap of $97,500 wouldn't significantly apply to him. Secondly, these taxes are exclusively for wages, not capital gains, which comprise the vast majority of his income.

Thus, this represents my best guess regarding the calculations behind Mr. Buffett's remarks.

Update: Soon after this column was published, I received the following reply. To maintain fairness, I'm sharing this perspective that argues Mr. Buffett is overpaying his taxes.

I found your response to the 'outraged' individual who believes it's unjust that Warren Buffett pays a lower percentage in taxes than his secretary to be quite intriguing. I was disappointed, however, that your answer did not address the misinformation suggesting that Mr. Buffett pays less tax than his secretary.

One-Team Total Total in Sample Probability
0 93 1.75%
1 0 0.00%
2 0 0.00%
3 148 2.79%
4 0 0.00%
5 2 0.04%
6 114 2.15%
7 210 3.96%
8 9 0.17%
9 76 1.43%
10 316 5.96%
11 9 0.17%
12 49 0.92%
13 289 5.45%
14 238 4.49%
15 55 1.04%
16 170 3.21%
17 373 7.03%
18 33 0.62%
19 92 1.73%
20 368 6.94%
21 234 4.41%
22 64 1.21%
23 218 4.11%
24 347 6.54%
25 47 0.89%
26 103 1.94%
27 282 5.32%
28 159 3.00%
29 52 0.98%
30 127 2.39%
31 242 4.56%
32 23 0.43%
33 57 1.07%
34 164 3.09%
35 76 1.43%
36 27 0.51%
37 68 1.28%
38 108 2.04%
39 11 0.21%
40 21 0.40%
41 62 1.17%
42 31 0.58%
43 6 0.11%
44 24 0.45%
45 33 0.62%
46 1 0.02%
47 7 0.13%
48 28 0.53%
49 15 0.28%
50 1 0.02%
51 5 0.09%
52 7 0.13%
53 0 0.00%
54 2 0.04%
55 1 0.02%
56 4 0.08%
57 1 0.02%
58 1 0.02%
59 1 0.02%
Total 5304 100.00%

Firstly, as you rightly mentioned, investment income is taxed at 15%. This is effectively double taxation since the earned income that Mr. Buffett invested was initially taxed at his marginal rate of 36%. This comparison is akin to juxtaposing apples and oranges (earned income against investment income). Wizard of Vegas .

Secondly, rather than focusing on the percentages, it’s more relevant to analyze the 'payout' instead. I’m quite certain that Mr. Buffett has paid millions in taxes in a given year, while his secretary only paid thousands. Shouldn’t it concern your readers more that one individual in our society bears a tax burden thousands of times greater than their fellow citizen, yet they receive the same governmental services? It could similarly be phrased: 'I learned that Warren Buffett paid 1,000,000 times more in taxes than his secretary, doesn’t that seem outrageous?'

anonymous

I just wanted to highlight that solely focusing on 'percentage' without considering 'actual payout' is logically flawed. It’s similar to many of your other observations. video about it.

Hi there! I'm a seventh grader from Hawaii working on a science fair project about poker and shuffling techniques. I'm utilizing your charts that detail the win percentages of specific Texas Hold 'Em hands based on the number of players participating in the game. I was wondering if you could clarify a few questions to assist me with my project: video of that.

How did you determine the percentages displayed in the charts?



You mentioned that the Wizard of Odds began as a pastime. Did your experimentation change as your site gained popularity? If so, how and why? Here are some peaks I have already climbed.

I saw that that YouTube video The calculations were executed through a brute-force program that looped through all 1,225 potential opponent hands and 1,712,304 possible community cards. For

anonymous

larger player pools, cycling through each possibility would have consumed an impractical amount of time, which is why I opted for a random simulation instead.