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Ask The Wizard #142

It's great to see that you're once again addressing inquiries on your platform. As someone involved in math education, I find it particularly interesting how we need to navigate the challenge of resolving a two-step algebra equation. My inquiry revolves around the bonus rounds that are commonly found in many modern slot machines. Are the winnings from these bonus rounds fixed beforehand, or do my decisions really influence how much I win? Take the game Price is Right as an example; I consistently seem to win the lesser prize in the bonus segment. Whenever I'm tasked with choosing one of the two leftover tags, I often end up selecting the one that leads to the less favorable result. Am I simply experiencing a streak of bad luck, or does the machine have predetermined outcomes before I make my selection? I appreciate your insights and keep up the fantastic work!

Ara from Fresno

Thank you for your thoughtful message. I always appreciate feedback from high school math educators since I was once on the path to becoming one myself. Based on my discussions with industry insiders and reviewing payout sheets, I'm confident that if alternative prizes are revealed at the conclusion of a bonus round, the game operates fairly. This implies that the prizes are assigned randomly, and what appears at the end accurately reflects their allocation. Conversely, in instances where alternative rewards aren't displayed, the odds resemble those of a prize wheel, typically favoring lower payouts for the higher rewards. I’ve played Price is Right enough to witness the Showcase Showdown twice. As you mentioned, the values of the price tags are unveiled at the end, reinforcing my belief that the game is indeed honest, and it's possible you’ve just been on the wrong side of luck.

Hello - I've been following along for quite some time. A few friends and I were discussing a trip to Vegas for New Year's. I'd appreciate any tips, advice, or insights related to experiencing the place as a gambler or partygoer (I realize it’s usually best not to do both at the same time).

Harry from Houston

From my perspective, New Year’s in Vegas tends to be overrated. If your goal is to welcome the New Year packed amidst countless others on the Strip, you'll certainly achieve that. Yet, within the casinos, the main distinction seems to be the amusing hats that people wear. As locals, we generally avoid the Strip on December 31st. While I’m not really an authority on the party scene, I feel confident in saying that similar festivities can be found at any time of the year.

I recently noticed someone offering 2-1 odds against a player achieving a 57% success rate over 100 games against the spread. I perceive 57% as a challenging benchmark, but given the limited sample size, it appears to be a potentially favorable wager. My question is this - if a bettor has a lifetime picking percentage of 50% (ignoring vig and ties, as though it's a coin toss), would this still be a beneficial bet? If it isn't, what level of success rate would be necessary to make it an advantageous deal for the picker?

Aaron from Tulsa

For bets at odds of 2 to 1, the largest sample size where this becomes a good wager is 14 games. If you're selecting randomly, you would have approximately a 39.53% chance of achieving 57% or better, which means getting 8 or more right. For this to be a sound bet, you'd need a probability exceeding 33.33%. With 21 games, it's nearly fair, but the probability is just below, at 33.18%. When the number of required picks increases, the necessary success rate decreases. For instance, if 1000 picks were needed, the highest number for more than a 1/3 chance of success would be 507. The probability of achieving 507 or more correct in 1000 picks is about 34.05%.

In blackjack, there are instances when the dealer reveals their hole card. What should the fundamental strategy be when this occurs?

anonymous

Stanford Wong outlines a basic strategy for this scenario in his book, particularly in table 46. Additionally, he mentioned a promotion back in 1995 at the Bourbon Street casino in Las Vegas, where every 50 minutes, the dealer would show both of their cards for five hands, providing players a 10% advantage during those times, according to Wong. Basic Blackjack As a long-time fan of football and an avid bettor, I’m intrigued by your statistical model for analyzing the game. I’m attempting to construct my own model since I’ve realized that relying solely on my knowledge does not yield wins (I have tried). Therefore, I’m adopting a statistical approach, using SPSS for my analysis. Could you please share the variables you incorporate into your model?

The model includes only scores and the advantage of playing at home. Occasionally, I seek input on significant player injuries, such as Ben Roethlisberger during week 6, or when New Orleans has to host games away in San Antonio.

Brett from Matawan, New Jersey

I was examining your section on video poker and went through the \"Full Pay\" Deuces Wild game, which promises a return of 100.76% with optimal strategy. However, I also came across the 'Sevens Wild' game from RTG, which I’ve played at Inet-Bet and Bodog. The pay table is nearly identical to the 'Full Pay' Deuces Wild, except for the Straight Flush payout, which offers 10 for 1 rather than 9 for 1. Shouldn’t this result in an expected return exceeding 100.76%, as opposed to the 99.11% stated? Am I potentially overlooking something?

The reason 'Deuces Wild' yields a higher payout is that a deuce typically isn’t valued as highly as a seven. This discrepancy is due to the increased possibilities of creating straights and straight flushes involving a seven. Therefore, changing deuces to wild cards creates a larger effect than making sevens wild. In my analysis, I illustrate that under the same pay table, 'Deuces Wild' has a return rate of 96.76%, while 'Sevens Wild' stands at only 94.13%.

Ken from Tallahassee, Florida

In a tournament with a $1,000 chip stack and just 30 hands dealt, what would be the ideal bet sizes for the Ante and Pair-Plus? Anything’s Wild I'm not particularly strong in tournament strategies. However, if a flush is typically worth 3, I would suggest avoiding the Pair-Plus bet unless you find yourself in dire need of a miracle during the final hands. Otherwise, the higher stakes and variance could likely lead to your downfall. Stick with the ante bet when it's necessary to make a strategic move.

In a Three Card Poker In a game of craps, once a point has been established for a come bet, what’s the correct way to place your chips on the table to indicate that you want to bet on the odds?

WM from Ventura

There isn’t a specific area designated for this. You need to hand the chips to the dealer and ask him to place them on the odds. For instance, if you make a come bet and the next roll results in a nine, I typically wait until I have the dealer’s attention, place the bet within reach, and state, 'odds on the nine.' house edge Welcome back, Wizard. You’ve expanded your title from merely the Wizard of Odds to also being the Wizard of... From your performance, it’s clear. Currently, I have a 51.7% success rate at the casino pool. I have a humble request: would it be possible for you to share your picks for ALL GAMES each week, provided it doesn’t require too much of your time?

Thank you. It's likely you sent this before week four, which was not a great week for me. Now, after five weeks my record stands at 17 wins and 13 losses, resulting in a 56.7% average—decent but not extraordinary. As a gesture for my newsletter readers, I've considered sharing my insights on each game.

GARY from MILWAUKEE, WISCONSIN

I’ve been in a relationship with this amazing girl for around six months now. She’s stunning and manages one of the hottest bars in the area. Additionally, she is a football enthusiast and an excellent cook. Her family hails from Philly, and like many in that city, they own summer homes along the Jersey Shore. Over the Labor Day weekend, she took me down there. Throughout that weekend, she repeatedly suggested, 'Honey, tomorrow I plan on enjoying some time at the beach. Why don’t you head to Atlantic City for some blackjack or poker?' My question is, what are the odds that this situation might improve any further?

It's tough to top that experience. I'd estimate the probability of improvement at around 10%. However, I would focus on nurturing that relationship rather than contemplating how it might change. NFL Picks Mathematically sound strategies and information for casino games like blackjack, craps, roulette, among hundreds of others that players can enjoy.

Jason from Vancouver, Canada

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Steve from Boston

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