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  2. Poker probability - Wikipedia

    en.wikipedia.org/wiki/Poker_probability

    The Probability of drawing a given hand is calculated by dividing the number of ways of drawing the hand (Frequency) by the total number of 5-card hands (the sample space; () =,,). For example, there are 4 different ways to draw a royal flush (one for each suit), so the probability is ⁠ 4 / 2,598,960 ⁠ , or one in 649,740.

  3. Principle of restricted choice - Wikipedia

    en.wikipedia.org/wiki/Principle_of_restricted_choice

    A priori, four outstanding cards "split" as shown in the first two columns of Table 2 below. For example, three cards are together and the fourth is alone, a "3-1 split" with probability 49.74%. To understand the "number of specific lies" refer to the preceding list of all lies in Table 1.

  4. Gambling mathematics - Wikipedia

    en.wikipedia.org/wiki/Gambling_mathematics

    The mathematics of gambling is a collection of probability applications encountered in games of chance and can get included in game theory.From a mathematical point of view, the games of chance are experiments generating various types of aleatory events, and it is possible to calculate by using the properties of probability on a finite space of possibilities.

  5. Contract bridge probabilities - Wikipedia

    en.wikipedia.org/wiki/Contract_bridge_probabilities

    Thus, the "number of possible deals" in this sense depends on how many non-honour cards (2, 3, .. 9) are considered 'indistinguishable'. For example, if 'x' notation is applied to all cards smaller than ten, then the suit distributions A987-K106-Q54-J32 and A432-K105-Q76-J98 would be considered identical.

  6. Monty Hall problem - Wikipedia

    en.wikipedia.org/wiki/Monty_Hall_problem

    If the card remaining in the host's hand is the car card, this is recorded as a switching win; if the host is holding a goat card, the round is recorded as a staying win. As this experiment is repeated over several rounds, the observed win rate for each strategy is likely to approximate its theoretical win probability, in line with the law of ...

  7. Gambler's fallacy - Wikipedia

    en.wikipedia.org/wiki/Gambler's_fallacy

    In such cases, the probability of future events can change based on the outcome of past events, such as the statistical permutation of events. An example is when cards are drawn from a deck without replacement. If an ace is drawn from a deck and not reinserted, the next card drawn is less likely to be an ace and more likely to be of another rank.

  8. Set (card game) - Wikipedia

    en.wikipedia.org/wiki/Set_(card_game)

    An example 20-card cap set is shaded yellow. Given any two cards, there is exactly one card that forms a set with those two cards. Therefore, the probability of producing a Set from 3 randomly drawn cards from a complete deck is 1/79. A cap set is a mathematical structure describing a Set layout in which no set may be taken. The largest group ...

  9. Orders of magnitude (probability) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude...

    Probability of being dealt a four of a kind in poker 10 −3: Milli-(m) 1.3×10 −3: Gaussian distribution: probability of a value being more than 3 standard deviations from the mean on a specific side [17] 1.4×10 −3: Probability of a human birth giving triplets or higher-order multiples [18] Probability of being dealt a full house in poker ...