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Rock, Paper, Scissors: A Probability Experiment Statistics and Probability

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Rock, paper, Scissors In the game rock, paper, scissors two players have to show either scissors, paper, or rock using their hands as follows: The rules of the game are that: scissorspaperrock Scissors beats paper (it cuts). Paper beats rock (it wraps). Rock beats scissors (it breaks). If both players show the same hands it is a draw.

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Rock, paper, scissors What is the probability that both players will show the same hands in a game of rock, paper, scissors? We can list all the possible outcomes in a two-way table using S for Scissors, P for Paper and R for Rock. ScissorsPaperStone Scissors Paper Stone First player Second player SS SPSR PSPPPR RSRPTT P(same hands) = SS PP RR 3 9 = 1 3

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Rock, paper, scissors What is the probability that the first player will win a game of rock, paper, scissors? Using the two-way table we can identify all the ways that the first player can win. ScissorsPaperStone Scissors Paper Stone First player Second player SS SPSR PSPPPT TSRPRR P(first player wins) = 3 9 = 1 3 SP PR RS

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Rock, paper, scissors What is the probability that the second player will win a game of rock, paper, scissors? Using the two-way table we can identify all the ways that the second player can win. ScissorsPaperStone Scissors Paper Stone First player Second player SS SPST PSPPPR RSTPRR P(second player wins) = 3 9 = 1 3 SR PS RP

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Rock, paper, scissors Is rock, paper, scissors a fair game? P(first player wins) = 1 3 P(second player wins) = 1 3 P(a draw) = 1 3 Both player are equally likely to win so, yes, it is a fair game. Play rock paper scissors 30 times with a partner. Record the number of wins for each player and the number of draws. Are the results as you expected?

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