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  2. Coin flipping - Wikipedia

    en.wikipedia.org/wiki/Coin_flipping

    Coin flipping, coin tossing, or heads or tails is the practice of throwing a coin in the air and checking which side is showing when it lands, in order to randomly choose between two alternatives. It is a form of sortition which inherently has two possible outcomes. The party who calls the side that is facing up when the coin lands wins.

  3. Sleeping Beauty problem - Wikipedia

    en.wikipedia.org/wiki/Sleeping_Beauty_problem

    Sleeping Beauty problem. The Sleeping Beauty problem, also known as the Sleeping Beauty paradox, [1] is a puzzle in decision theory in which an ideally rational epistemic agent is told she will be awoken from sleep either once or twice according to the toss of a coin. Each time she will have no memory of whether she has been awoken before, and ...

  4. Gambler's fallacy - Wikipedia

    en.wikipedia.org/wiki/Gambler's_fallacy

    If after tossing four heads in a row, the next coin toss also came up heads, it would complete a run of five successive heads. Since the probability of a run of five successive heads is ⁠ 1 / 32 ⁠ (one in thirty-two), a person might believe that the next flip would be more likely to come up tails rather than heads again. This is incorrect ...

  5. Checking whether a coin is fair - Wikipedia

    en.wikipedia.org/wiki/Checking_whether_a_coin_is...

    The symbols H and T represent more generalised variables expressing the numbers of heads and tails respectively that might have been observed in the experiment. Thus N = H + T = h + t. Next, let r be the actual probability of obtaining heads in a single toss of the coin. This is the property of the coin which is being investigated.

  6. Penney's game - Wikipedia

    en.wikipedia.org/wiki/Penney's_game

    Player A selects a sequence of heads and tails (of length 3 or larger), and shows this sequence to player B. Player B then selects another sequence of heads and tails of the same length. Subsequently, a fair coin is tossed until either player A's or player B's sequence appears as a consecutive subsequence of the coin toss outcomes. The player ...

  7. Phil Luckett - Wikipedia

    en.wikipedia.org/wiki/Phil_Luckett

    During an overtime coin toss in a November 1998 game between the Pittsburgh Steelers and the Detroit Lions the coin landed on tails and Luckett awarded the toss to the Lions. Steelers captain Jerome Bettis said he had called "tails", but Luckett insisted that Bettis had called "heads-tails".

  8. I Ching divination - Wikipedia

    en.wikipedia.org/wiki/I_Ching_divination

    In the case where the special coin is heads and the other two are both tails—which would normally produce a 7—re-flip the marked coin: if it remains heads, then it remains as a 7 (static yang); otherwise, it becomes a 9 (moving yang). As a 7 can become a 7 or an 9, it reduces the probability of the static 7.

  9. Two-up - Wikipedia

    en.wikipedia.org/wiki/Two-up

    Two-up is a traditional Australian gambling game, involving a designated "spinner" throwing two coins, usually Australian pennies, into the air. Players bet on whether the coins will both fall with heads (obverse) up, both with tails (reverse) up, or with a head and one a tail (known as "Ewan").

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