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If A and B play a game in which the probability that A wins is.docx

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Nadeem Uddin
Nadeem Uddin

If A and B play a game in which the probability that A wins is 2/3 . In a series of 8 games what is the probability that B wins at least two games

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If A and B play a game in which the probability that A wins is 2 3 . In a series of 8 games what is the probability that B wins at least two games. Solution: Probability that B wins is = 1 3 and = 2 3 = 8 ( = ) = (B wins at least two games) = 1 {( = 0) + ( = 1)} (B wins at least two games) = 1 {0 8 ( 1 3 ) 0 ( 2 3 ) 8 + 1 8 ( 1 3 ) 1 ( 2 3 ) 81 } (B wins at least two games) = 1 (0.03917 + 0.1564) (B wins at least two games) = 1 0.19557 (B wins at least two games) = 0.804

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If A and B play a game in which the probability that A wins is.docx

  • 1. If A and B play a game in which the probability that A wins is 2 3 . In a series of 8 games what is the probability that B wins at least two games. Solution: Probability that B wins is = 1 3 and = 2 3 = 8 ( = ) = (B wins at least two games) = 1 {( = 0) + ( = 1)} (B wins at least two games) = 1 {0 8 ( 1 3 ) 0 ( 2 3 ) 8 + 1 8 ( 1 3 ) 1 ( 2 3 ) 81 } (B wins at least two games) = 1 (0.03917 + 0.1564) (B wins at least two games) = 1 0.19557 (B wins at least two games) = 0.804