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?

0.159375

Step-by-step explanation:

Let the events are :

H =  Student takes a history class.

S = Student takes a sociology class.

As per given , we have

P(H)=0.32

P(H∩S)=0.051

Now , by using the conditional probability formula , we have

Hence, the probability that a student takes a sociology class, given that the student is taking a history class is 0.159375 .

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