Question

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

Answer 1

0.159

Explanation:

Answer 2

Conditional probability:
P ( B \ A ) = P ( A and B ) / P ( A )
Probability of an event B given by that A has already occurred.
P ( A and B ) = 0.051
P ( A ) = 0.32
P ( B \ A ) = 0.051 / 0.32 = 0.159375 ≈ 0.159
Answer:
B ) 0.159