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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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?
Adonis
4.4106 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 is0.024
2. Identify the probability that a person is a male given they have more than one job:
3. Use the conditional probability formula:
4. Calculate:
5. Therefore, the probability that a randomly selected employee is a man with more than one job is
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