Unformatted text preview: In a round of this game, each player simultaneously makes a hand motion representing one of rock, paper, or scissors. If the two players do not pick the same item, a winner is determined by the rule: rock smashes scissors, paper covers rock, scissors cut paper. After playing for a while, Jason realizes that whenever Julie wins, she always picks a diﬀerent action on the next turn, and when she loses, she either picks the same item again or she picks the item she lost against. When they pick the same item, her next choice is random. Using his observations, Jason can play with a strategy rather than just by chosing randomly. If he does this, what proportion of games will Julie win?...
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 Spring '09
 M.Tao
 Sets, Probability, Julie, Theoretical Exercise, Jason ﬁnds, younger cousin Julie

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