Ask The Wizard #201

One of my core Gambling Commandments states, \"You shall not hedge your bets.\" However, I do acknowledge that \"there are exceptions when it involves protecting significant amounts of money.\" If the $3,000 he relinquished was indeed life-altering for him, and if the likelihood of winning was only slightly above 50%, then I wouldn't challenge his choice. Yet, assuming this wasn’t in 2002, the odds of New England winning were considerably greater than 50%. In the other Super Bowls they played in 2004 and 2005, they were favored by 7 points. I would estimate their chances of winning both times at around 71%. A fair exchange for surrendering would be 0.71 × $6,100 (including the original wager) = $4,331. The house's advantage on the offer, likening it to an even-money bet on the opposing team, amounts to a 29%-71% split, totaling 42%. Thus, unless I'm mistaken about the year, that would be a misguided choice. He could have found substantially better odds elsewhere by betting on the other team. The entity offering only $3,000 clearly didn't grasp the game or took undue advantage. Notably, New England triumphed in all three recent Super Bowls by merely three points.

I think the only downside to this situation would be getting listed in the chargeback database. This would effectively hinder your online gambling activities. However, I believe it's unjust to pursue a chargeback against the casino, given that they weren't at fault for your roommate's unauthorized use of your credit card. Ideally, your roommate should reimburse you for the money he lost. I feel strongly about this because I've been shorted on several occasions. It's no coincidence that the first of my gambling principles is, \"Honor your gambling debts.\" Ten Commandments of Gambling. If your roommate declines to repay you and you decide to go ahead with the chargeback, it's crucial to be truthful during any investigation. It will be straightforward to establish that the charges originated from the same IP address, and you might be questioned about it. Allow him the chance to make repayment first, and if he refuses, don't shield him from the consequences.

In addressing probability questions, I prefer employing the combinatorial method. Using this approach, there are (48,4) = 194,580 different ways to select four cards from the remaining 48 non-king cards in the deck. There are also combin(51,4)=249,900 ways to draw any four cards from the remaining 51 in the deck. Thus, the probability of not drawing another king in the next four selections is 194,580/249,900 = 77.86%. Consequently, the likelihood of getting at least one additional king is 100% - 77.86% = 22.14%. combin Some individuals mentioned that the combinatorial approach might be too complex for those asking basic probability queries. While I agree, a primary goal of this site is to impart knowledge about mathematics. The combinatorial function is incredibly efficient in probability calculations and saves substantial time. Nonetheless, the given question can also be resolved without it.

The chance that the second card drawn is not a king stands at 48/51. This is because there are still 48 non-king cards remaining, with 51 total cards left in play. If the second card is a non-king, then the probability that the third card is also a non-king is determined by 47/50 (47 non-kings divided by the 50 remaining cards). Continuing this pattern, the overall probability that none of the additional four cards are kings equals (48/51) × (47/50) × (46/49) × (45/48) = 77.86%. Thus, the probability that at least one is a king is 100% - 77.86% = 22.14%.

Do you believe that any single player has the potential to consistently outperform the odds in California games where every player has an equal chance to act as the banker each round, especially since each hand has a $1 fee to the house?

First, select 5 cards from a standard 52-card deck. Then, sum their blackjack values (where T, J, Q, K = 10 and A = 1). What are the odds that this total is even or odd? I would assume the sums would lean towards being even given the higher number of even cards.

The bonus package at Mohegan Sun features two $10 bet coupons. These are not match play bets. Placing a ten-dollar wager on an even-money proposition, such as the one at the Big Six wheel, would return that same amount. The house retains any coupons utilized, regardless of winning or losing. Players do not need to add personal funds to use these. The only eligible games for participation are the specified ones. Where would be the optimal spots to utilize these coupons? I have wagered both high and low in sic bo, typically only losing if a triple appears. I've also placed bets on the one and two during the same spin on the wheel.

There is a single path to obtaining the ace, coupled with four options for the 10-point card, summing to 1*4=4 possible winning combinations. The number of ways to select 2 out of 52 cards is given by combin(52,2)=1,326. Consequently, the probability of a successful outcome is 4/1326 = 0.30%. The fair odds would be 330.5 to 1. Thus, the expected return equates to 0.0030*300 + 0.9970*-1 = -0.0920, indicating a house edge of 9.2%.

I genuinely appreciate all the valuable insights shared on your webpage. Currently, I am serving in the Air Force and will be presenting a seminar focused on responsible gambling.

My history lecturer at NMSU informed our class that the only method to win at Blackjack was to make small bets and walk away with modest profits of $25. This rationale doesn't align with my understanding. I'm aware it isn’t accurate. My inquiry is – if I possess $1,000,000 to gamble with throughout my life, do I have \"better odds\" by wagering the entire million in a single hand of Blackjack as opposed to making smaller bets over time? Or are the odds invariant regardless? Your website is fantastic; keep up the excellent work. I greatly appreciate your assistance!

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