Questions tagged [gambling]

For questions about the mathematics behind gambling, such as the expected value of a game or the efficiency of a gambling strategy.

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Dynamic loss chance in gambling

I had a bit of a thought experiment today to which I don't know that answer to myself so I hoped someone here could enlighten me. Let's say we toss an idealized coin, the result being either $0$ or $1$ with equal probability. There are exactly 100…
uncanny
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Gambler's ruin: Probability heads exceed tails by $X$ or more as $N$ increases.

I have a question similar to, but different from, the martingale problem. Assume you are a gambler willing to bet, say, $10\%$ of whatever amount you start with on a fair coin toss. Then, if at any time the number of tails (losses) exceeds the…
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Betting on a coin flip

SETUP I am allowed to make a bet on the odds of a coin flip. The coin is a normal metal coin, is not weighted in any particular direction, and I can bet as much or as little as I'd like, and I can bet on either side of the coin. For example, I can…
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Calculate slot machine game multiplier

I'm developing a slot machine game with 5 slots, each slot has 6 options (pear, lemon, ..., etc.). Each spin, 5 random values get generated, one for each slot, making the slots spin to the option bound to their random number. When 3 or more…
Bram
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Changes to Blackjack Basic strategy when winning with 5 cards pays double

OK, so take a game of blackjack, but if you win with 5 or more cards in your hand, you win double what you normally would. How would I go about adapting basic strategy to account for this? My thinking is that adapting to anything when you have <= 3…
pingu2k4
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A gambling system

I was just thinking about something to do with gambling, and it occurred to me that surely you could guarantee success at a gambling game in the long run if you set aside profits. Allow me to explain. Say you had 4 betting units. If you were to flat…
Roskiller
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Odds and Betting Calculation

I need a formula to convert betting results into odds, I am trying to work out if a tipster is profitable or not. For example if the average odds were 5.0 and the tipster was correct 1 in 5 times that would mean they would be losing (assuming the…
davidjwest
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Does a second chance ticket have any value?

If someone buys a ticket in a lottery and that ticket wins another ticket (in the same lottery), does the recipient have two chances at winning the jackpot or one?
Rimian
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Betting Strategy on 45/55 game with free money that restricts cash out

Suppose you have 1000 and are playing a betting game where you have 45% chance of winning your betted amount and 55% of losing your betted amount (e.g. bet 500, win or lose that amount). If your opponent was to offer you an additional 1000 to your…
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