Ask The Wizard #179

Regrettably, you were on the less favorable side of that wager. The chance of getting two sevens before a six or an eight appears is 45.44%. This table outlines all potential outcomes, with the first column indicating the sequence of rolls that lead to the bet's result, disregarding all other combinations.

Essentially, the six and eight have an advantage because you can roll them in either sequence: you can get a six first and then an eight or vice versa. In contrast, obtaining two sevens can only occur in one specific order: a seven followed by another seven.

I’m aware of this promotion. During my recent visit to South Point, I came across a flyer for this offer, but it hadn't officially started at that time. The flyer did not indicate any restrictions, and when I inquired with a staff member, he was unsure. While I empathize with your situation, I believe your argument would be stronger if you had confirmed prior to playing that there were no limits on the cards. In my view, it’s unprofessional to promote an offer with ambiguous rules, allowing casinos to interpret them in ways that benefit them later. Hence, I prefer to ask questions before I start playing rather than making assumptions.

If I were in charge of designing a promotion, I'd think through every conceivable question or scenario that might arise and create rules to prevent such misunderstandings. I agree that inconsistently applying rules is unjust. It may be acceptable for them to classify you under a restricted player list, but there should be a mention of this in the promotion's fine print, allowing you to check whether you fall under that category. This is slightly outside my expertise, so take my comments lightly.

I wasn't aware that Crapless Craps featured a buy bet. The next table outlines the house edges for both place and buy bets, assuming there is no rounding of winnings. Referring to your example of a $30 buy bet on either 2 or 12, the total winnings would be 6*$30-$1=$179. Therefore, the expected return can be calculated as [(1/7)*$179 + (6/7)*-$30] / $30 = -0.0048, which is very close to your estimate.

The Poisson distribution can effectively address this type of inquiry. The general formula is e^-m * m^x / x!, where x represents the number of occurrences you witnessed, and m is the expected figure. In this scenario, x is 3. The probability of obtaining a royal flush in ‘deuces wild’ is 0.000023. Thus, the anticipated number across 10,000 hands would be 0.23. Consequently, the probability of exactly three royal flushes appearing in those 10,000 hands is given by e^-0.23 * 0.23^3 / 3! = 0.161%. The corresponding Excel formula for this is poisson(3,0.23,0).^-m*m^xI was engaged in a one-on-one double-deck Blackjack game at a casino in Louisiana. I made a substantial bet and decided to double down with a 4 and a 7 against the dealer's 4. I organized my cards in front of my chips and increased my bet accordingly. The dealer revealed his hand, which consisted of a 4 and a 2, and then he drew a ten and a three. To our dismay, we realized that the dealer had forgotten to give me my double down card. The floor manager decided in favor of the dealer, declaring my hand lost since I had eleven against nineteen. I requested to receive the ten and draw my card from the 4+2+3 situation. However, the floor informed me that they could not revisit previous cards and all he could offer was a return of my original bet. The next card drawn from the deck was a ten, which would have completed my 21 against the dealer's 19. I'm scheduled to meet with the casino’s table games manager to discuss possible compensation. What would be the best way to approach the manager regarding this incident? Is it typical for players to receive compensation for such errors? Not so Ugly Ducks deuces wild Casinos are generally hesitant to reverse card decisions because it could lead to issues for players who benefitted from any mistakes. The standard policy states that if a mistake involves more than one card, the hand is deemed void. However, in practice, many casinos choose to relax the rules occasionally to keep players satisfied. For instance, I was playing blackjack alone at the Venetian recently, and after I doubled down, the dealer mistakenly thought I chose to stand and revealed his hand, hitting it with a 4. I alerted the dealer to the error, and the pit boss provided me with a choice: I could either keep the 4 as my double down card or choose to have it discarded for the next card in the deck. I opted for the discard; unfortunately, the next card drawn was another 4, and I lost. I was pleased with how the situation was handled, and the pit boss even ordered the dealer to push my bet, which I thought was really thoughtful. Returning to your situation, as long as the floor restored your complete bet, I believe their actions were consistent with established procedures.^-0.23*0.23³Given that a Straight Flush occurs roughly four times more frequently than a Royal Flush, why do its payouts remain so much lower, approximately 16 times less? I acknowledge that this may not be practical. Would it not be reasonable to adjust the rewards for each hand in accordance with their respective frequencies?

I believe one of the crucial aspects of gambling is recognizing when it's time to stop playing. The stories I frequently hear from gamblers revolve around having a winning streak in a particular game, only to lose it all in the end. Many players tend to continue wagering until they have exhausted their entire bankroll.

Good question. In 9/6 jacks or better People often ask me various versions of this question. If you're playing a game that has a negative expectation—which is nearly always the case—the best strategy for preserving your money is to refrain from playing altogether. Nevertheless, if you choose to play simply for enjoyment, there's no definitive point at which to quit. The more you play, the more likely it is to continue losing relative to your current bankroll. I've said it before and will reiterate: a good time to walk away is when you're no longer enjoying the experience.

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