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Some games that have appeared in Microsoft Entertainment Pack and Microsoft Plus! have been included in subsequent versions of Windows as well. Microsoft Solitaire has been included in every version of Windows since Windows 3.0, except Windows 8 and 8.1. The latest version of Windows, Windows 11, includes Microsoft Solitaire Collection and Surf.
The probability of 20 heads, then 1 head is 0.5 20 × 0.5 = 0.5 21 The probability of getting 20 heads then 1 tail, and the probability of getting 20 heads then another head are both 1 in 2,097,152. When flipping a fair coin 21 times, the outcome is equally likely to be 21 heads as 20 heads and then 1 tail.
In a simultaneous game, players will make their moves simultaneously, determine the outcome of the game and receive their payoffs. The most common representation of a simultaneous game is normal form (matrix form). For a 2 player game; one player selects a row and the other player selects a column at the exact same time.
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Penney's game, named after its inventor Walter Penney, is a binary (head/tail) sequence generating game between two players. 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.
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. If the pennies match (both heads or both tails), then Even wins and keeps both pennies.
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