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Two different people, acting independently, had to pick a number between 1 and 24, inclusive.What is the probability that they both have picked the number 4?

Question

Two different people, acting independently, had to pick a number between 1 and 24, inclusive.What is the probability that they both have picked the number 4?

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Solution

The probability of one person picking the number 4 from numbers 1 to 24 is 1/24. Since the two people are acting independently, the probabilities multiply. Therefore, the probability of both people picking the number 4 is (1/24) * (1/24) = 1/576.

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