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

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

Answer 2

Answer:

0.159

Step-by-step explanation:

Let A = takes a history class and B = takes a sociology class  

P(A) =0.051 and P(B) = 0.32      

P ∩ B = $\frac{0.051}{0.32}$

=0.159375

round to the nearest hundredth

0.159