Paul and Eric are playing squash, and Paul is determined to win at least two games. Unfortunately his chance of winning any one game is only, and this chance remains constant however many games he plays against Eric. The players agree to play 5 games and, if Paul has won at least two by then, play ceases. Otherwise Paul persuades Eric to play a further 5 games with him. What is the probability (i) that only 5 games are played, and Paul wins at least two of them; (ii) that 10 games have to be played, and Paul wins at least two?

Paul and Eric are playing squash, and Paul is determined to win at least two games. Unfortunately his chance of winning any one game is only, and this chance remains constant however many games he plays against Eric. The players agree to play 5 games and, if Paul has won at least two by then, play ceases. Otherwise Paul persuades Eric to play a further 5 games with him. What is the probability (i) that only 5 games are played, and Paul wins at least two of them; (ii) that 10 games have to be played, and Paul wins at least two?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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