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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

Respuesta :

HomertheGenius
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
luisvaschetto

The probability that a student takes a sociology class given that the student is taking a history class is  0.159.

What is probability?

In mathematics, probability refers to the likelihood of occurrence of a given event/situation.

In this case, we have according to Bayes probability that P (AB) is equal to 0.051/ 0.32 = 0.159 (Option B is correct)

In conclusion, the probability that a student takes a sociology class given that the student is taking a history class is  0.159.

Learn more about Bayes here:

https://brainly.com/question/3797946

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