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There is a 6% probability that a randomly selected employed person has more than one job. There is 40% probability that a randomly selected employed person is male, given that the person has more than one job. What is the probability that a randomly selected employee is a man with more than one job? What is the probability that a randomly selected employee is a man and has more than one job?

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Answer to a math question There is a 6% probability that a randomly selected employed person has more than one job. There is 40% probability that a randomly selected employed person is male, given that the person has more than one job. What is the probability that a randomly selected employee is a man with more than one job? What is the probability that a randomly selected employee is a man and has more than one job?

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102 Answers

1. Identify the probability that a person has more than one job:

P(M) = 0.06

2. Identify the probability that a person is a male given they have more than one job:

P(A|M) = 0.40

3. Use the conditional probability formula:

P(A \cap M) = P(A|M) \times P(M)

4. Calculate:

0.40 \times 0.06 = 0.024

5. Therefore, the probability that a randomly selected employee is a man with more than one job is

0.024

.

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