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  2. Mathematics of bookmaking - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_bookmaking

    Patent, Lucky 15, Lucky 31, Lucky 63 and higher Lucky bets form a family of bets known as full cover bets with singles which have all possible multiples present together with single bets on all selections. An examples of a winning Patent bet has been shown above. The other named bets are calculated in a similar way by looking at all the ...

  3. Lottery mathematics - Wikipedia

    en.wikipedia.org/wiki/Lottery_mathematics

    For instance, on September 6, 2009, the six numbers 4, 15, 23, 24, 35, and 42 were drawn from 49 in the Bulgarian national 6/49 lottery, and in the very next drawing on September 10th, the same six numbers were drawn again. Lottery mathematics can be used to analyze these extraordinary events [1].

  4. Poker probability - Wikipedia

    en.wikipedia.org/wiki/Poker_probability

    The royal flush is a case of the straight flush. It can be formed 4 ways (one for each suit), giving it a probability of 0.000154% and odds of 649,739 : 1. When ace-low straights and ace-low straight flushes are not counted, the probabilities of each are reduced: straights and straight flushes each become 9/10 as common as they otherwise would be.

  5. Blackjack - Wikipedia

    en.wikipedia.org/wiki/Blackjack

    If the dealer shows an ace, an "insurance" bet is allowed. Insurance is a side bet that the dealer has a blackjack. The dealer asks for insurance bets before the first player plays. Insurance bets of up to half the player's current bet are placed on the "insurance bar" above the player's cards. If the dealer has a blackjack, insurance pays 2 to 1.

  6. Gambler's fallacy - Wikipedia

    en.wikipedia.org/wiki/Gambler's_fallacy

    The probability of drawing another ace, assuming that it was the first card drawn and that there are no jokers, has decreased from ⁠ 4 / 52 ⁠ (7.69%) to ⁠ 3 / 51 ⁠ (5.88%), while the probability for each other rank has increased from ⁠ 4 / 52 ⁠ (7.69%) to ⁠ 4 / 51 ⁠ (7.84%).

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  8. Texas hold 'em starting hands - Wikipedia

    en.wikipedia.org/wiki/Texas_hold_'em_starting_hands

    For example, A ♥ J ♥ and A ♠ J ♠ are identical in value, because each is a hand consisting of an ace and a jack of the same suit. Therefore, there are 169 non-equivalent starting hands in hold 'em, which is the total count of 13 pocket pairs, 13 × 12 x 1 / 2 = 78 suited hands and likewise 78 unsuited hands (13 + 78 + 78 = 169).

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