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Suppose that the probability that a head appears when a coin is tossed is p and the probability that a tail occurs is q = 1 - p. Person A tosses the coin until the first head appears and stops. Person B does likewise. The results obtained by persons A and B are assumed to be independent. What is the probability that A and B stop on exactly the same number toss. Solution.

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Suppose that the probability that a head appears when a coin is tossed is p and the probability that a tail occurs is q = 1 - p. Person A tosses the coin until the first head appears and stops. Person B does likewise. The results obtained by persons A and B are assumed to be independent. What is the probability that A and B stop on exactly the same number toss. Solution

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  • 1. Suppose that the probability that a head appears when a coin is tossed is p and the probability that a tail occurs is q = 1 - p. Person A tosses the coin until the first head appears and stops. Person B does likewise. The results obtained by persons A and B are assumed to be independent. What is the probability that A and B stop on exactly the same number toss. Solution