The probability that a student takes a history class and a sociology class is 0.051. The probability that a student takes a history class is 0.32. What is the probability that a student takes a sociology class given that the student is taking a history class?

0.051

0.159

0.269

0.32

Question

Estes

5 January, 04:50

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Answers (1)

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Jethro · Answer 1

P (A and B) = 0.051.

P (B) = 0.32

According to Bayes' rule:

P (A/B) = P (A and B) / P (B) = 0.051 / 0.32 = 0.159375 ≈ 0.159

Answer: B) 0.159

The probability that a student takes a history class and a sociology class is 0.051. The probability that a student takes a history class is 0.32. What is the probability that a student takes a sociology class given that the student is taking a history class?0.0510.1590.2690.32