Ask The Wizard #174
Hey Wizard, can you translate the odds of winning the California SuperLotto Plus (1 in 41.4 million) into the equivalent number of times you would have to roll a 7 or 11 consecutively? I remember hearing this before. Many people struggle to grasp lottery probabilities, but rolling dice is something they can more easily understand.
Let n be the solution we seek. The likelihood of rolling a 7 or 11 stands at 8/36. To determine n:
(8/36)n= 1/41,400,000
log((8/36)n) = log(1/41,400,000)
n × log(8/36) = log(1/41,400,000)
n = log(1/41,400,000)/log(8/36)
n = -7.617 / -0.65321
n = 11.6608
So, as it turns out, the chances of winning the SuperLotto mirror those of rolling a seven or an eleven for approximately 11.66 consecutive times. For those who find a partial roll confusing, I would suggest saying that the probability lies between achieving 11 and 12 rolls in succession.
In video keno, does the selection of numbers you make actually influence the game? I get that it operates on a random number generator similar to slot machines, and the chosen numbers merely create a façade of control. I’ve attempted to contact IGT, but they haven’t replied. Thanks!
Similar to live keno, the odds remain constant regardless of the numbers selected; the outcome is independent of the balls drawn in the game.
I frequent a casino in London that features single deck blackjack. Players can have up to three hands, which exposes a variety of cards. Do you know of any reliable tables or calculators to determine the optimal strategy in such situations?
The blackjack calculator available at gamblingtools.net (www.gamblingtools.net/bj/ppbj.html) is ideal for this scenario. Now, the only task left is ensuring the casino allows you to use your device at the table.
Quick inquiry regarding withholding tax: As a Canadian, I'm aware that casinos hold 30% of any slot winnings exceeding $1200. Regarding the ticket-out system in most Las Vegas hotels, will tax be applied to any ticket cashed that surpasses $1200, even if it wasn't the result of a single jackpot but rather accumulated over time? Will all winnings of $1200 require hand pay? How do casinos manage transactions on high denomination machines, like when hitting three of a kind on a $500 machine, which would necessitate a tax form?
Withholding tax only applies to individual wins of $1,200 or more. If your winnings are made up of smaller amounts totaling over $1,200, you won’t be subject to this. When cashing out, the machine doesn’t recognize your residency and will simply output a voucher for the total amount. Any win of $1,200 or above will freeze the machine until a staff member clears it. Generally, for high denomination games, starting at $10 or $25, the casino may track all taxable winnings. For a $500 machine, they likely have an employee present to handle the related paperwork. After your game, you’ll receive a single W2G form for the total, with withholding deducted from it.
Hello Wizard – I really enjoy your site! My wife and I just got back from Las Vegas, and I noticed the overwhelming number of 6:5 Blackjack tables lining the strip. Thanks to your site and the numerous articles you’ve shared or linked to, we were able to steer clear of these games. However, I observed that many of these tables seemed to be nearly full, and I’m curious how long it will take before the unaware public starts to realize the negative implications of this seemingly minor rule change? At first sight, it resembles the pitch game my wife and I appreciate (which was only available downtown previously), and it seems a lot of players don't recognize the disadvantage they're accepting. If we hadn’t checked your site, we might have thought the casinos were responding to a craving for pitch games from the public. Keep up the excellent work!
Thank you! I anticipate that the ratio of 6 to 5 games will continue to rise. One could pose similar questions about various games. Why do players choose 8/5 jacks or better video poker when a 9/6 option is available just across the aisle? Why opt for double zero roulette when single zero exists at the same casino? Why do bettors stake more than the minimum on the pass line yet refrain from taking full odds in craps? While game limits sometimes play a role, you often witness high-stakes bets placed carelessly. Personally, I believe it's easier for individuals to hold onto luck and superstitions rather than investing time in understanding the odds.
"Fortunate are the rulers, for men do not think.\" - Adolph Hitler
In baccarat, what kind of advantage does a player gain if the first card dealt by the dealer, whether by chance or not, is a 9? I’ve seen this happen a couple of times at the casino, and everyone—including me—placed sizable bets on the player’s hand, yet we lost both times. My basic calculations indicate that there should be a 50% chance for the player hand to land on 6 points or more, giving it around a 70% likelihood of winning. Should I maximize my bet during such situations? Was it merely bad luck, or is the advantage not significant enough to warrant an all-in bet?
I'm glad you asked; I just added an entire segment to address this inquiry on our platform. flashing dealers in baccarat .
On websites like BoDog, you receive bonuses upon making each deposit. Once I deposit and play long enough to enable a withdrawal, is it considered appropriate to withdraw the entire remaining balance and then shortly after re-deposit that same amount to earn another bonus?
Reload bonuses are primarily designed for players who have lost their previous deposit, although this might not be a strict requirement. It's not a favorable practice to withdraw a portion of your funds and then quickly deposit again for a reload bonus. A total withdrawal would raise fewer eyebrows, but it still might not appear ideal. To avoid appearing suspicious, it’s best to fully withdraw and wait a while before making your next deposit; the longer the interval, the better - I suggest at least a couple of months.
What impact would consistently taking insurance in blackjack have on increasing the house edge?
An ace will appear one time in every thirteen attempts. The house edge for insurance in a six-deck game averages around 7.395%. However, this is calculated based on half the bet size. Thus, the expected loss for always opting for insurance would be (1/13) × 7.395% × 0.5 = -0.00284. Accordingly, the house edge would increase by 0.284%.
Hi Wizard. Fantastic site. I'd like to understand why many casinos impose betting limits on roulette tables; for instance, you can place a $100 bet on RED but only a $10 wager on a number like 10. Are casinos trying to mitigate risk, or are they somehow looking out for me?
Thank you! I believe they’re attempting to reduce risk by placing caps on maximum payouts.
I recently came across some \"dealer anecdotes\" on a website, detailing stories where craps dealers were instructed, \"You need to learn blackjack.\" These narratives referenced dealers learning the games while at the tables. One instance spoke of a dealer letting players split any cards they desired, etc. My question pertains to the training programs that casinos in the United States provide. At my casino (and most others in Australia), all training is conducted by the casino in a dedicated training area, and you must reach a certain level before you're allowed to deal on the floor. Additionally, you require certification from the government to work the games. Major games like blackjack, baccarat, roulette, craps, poker, and pai gow entail a full week of intensive training (three weeks if it's your first game). Conversely, games such as Caribbean stud, 3 or 4 card poker only need about 4 to 8 hours of training. How does training operate in the U.S.? And do situations like the ones I mentioned (such as improperly splitting cards or not adhering to rules) genuinely occur there?
Here, training tends to be much more casual. I spoke with a former dealer friend about this. He told me that if you’re already dealing at a high-end Strip casino, you might attend a brief 2-hour training session during work hours to learn the game. A lower-end casino may expect you to acquire training on your own time and expense.
A friend of mine believes that casinos profit from gamblers who leave the table after hitting their loss limit, yet remain when they’re on a winning streak. My stance is that while this behavior might have some immediate effects, it doesn't influence the long-term outcome, and the house edge governs the casino's overall earnings. Although this seems quite clear to me, his point seems persuasive since some of our other fairly savvy friends have bought into it as well. I've presented every argument I can conceive, yet my buddy remains skeptical. I was hoping you could clarify this for him.
You are correct. In the long run, betting systems and motivations for placing bets are inconsequential. With a limited bankroll, the risk of losing it all is real. Nevertheless, there’s also a limit to how much one can lose against virtually limitless potential gains. Over time, everything averages out, and the casino operates near its expected profit margin based on the amount wagered and the house edge.