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John and bob take turns in flipping a fair coin the first

1. John and Bob take turns in flipping a fair coin. The first one to get a Heads wins. John starts the game. What is the probability that he loses?

2. Given a key pad which has nine numbers ranging from 1 to 9 on it. Suppose a valid password contains exactly 4 numbers. Use the inclusion-exclusion formula to compute the probability that a randomly chosen password contains at least one 5. Is there a simpler way to find this probability?

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Business Management: John and bob take turns in flipping a fair coin the first

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