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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.

  3. Penney's game - Wikipedia

    en.wikipedia.org/wiki/Penney's_game

    Recently Robert W. Vallin, and later Vallin and Aaron M. Montgomery, presented results with Penney's Game as it applies to (American) roulette with Players choosing Red/Black rather than Heads/Tails. In this situation the probability of the ball landing on red or black is 9/19 and the remaining 1/19 is the chance the ball lands on green for the ...

  4. 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.

  5. Two-up - Wikipedia

    en.wikipedia.org/wiki/Two-up

    Spinner spins a pair of heads before a pair of tails or odding out. Single Tail 3.125% 1–1 Spinner spins a pair of tails before a pair of heads or odding out. 5 Odds 9.375% 28–1 Spinner spins five odds in a row ("odding out") before either a pair of heads or a pair of tails. Spinner's Bet 3.400% 15–2 Only available to the current spinner.

  6. Coin rotation paradox - Wikipedia

    en.wikipedia.org/wiki/Coin_rotation_paradox

    The outer coin makes two rotations rolling once around the inner coin. The path of a single point on the edge of the moving coin is a cardioid.. The coin rotation paradox is the counter-intuitive math problem that, when one coin is rolled around the rim of another coin of equal size, the moving coin completes not one but two full rotations after going all the way around the stationary coin ...

  7. Matching pennies - Wikipedia

    en.wikipedia.org/wiki/Matching_pennies

    If one penny is heads and the other tails, Odd wins and keeps both coins. Matching pennies is a non-cooperative game studied in game theory. It is played between two players, Even and Odd. Each player has a penny and must secretly turn the penny to heads or tails. The players then reveal their choices simultaneously.

  8. Heads and Tails (card game) - Wikipedia

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

    First, a row of eight cards are dealt; this is the "Heads" row. Then 8 piles of 11 cards are dealt; this is reserve. Below them is another row of eight cards, the "Tails" row. The object of the game is to free one Ace and one King of each suit and build each of them by suit; the Aces are built up to Kings while the Kings are built down to Aces.

  9. Sleeping Beauty problem - Wikipedia

    en.wikipedia.org/wiki/Sleeping_Beauty_problem

    In the heads scenario, Sleeping Beauty would spend her wager amount one time, and receive 1 money for being correct. In the tails scenario, she would spend her wager amount twice, and receive nothing. Her expected value is therefore to gain 0.5 but also lose 1.5 times her wager, thus she should break even if her wager is 1/3.

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