Question

Given that events A and B are independent with P(A)=0.34P(A)=0.34 and P(A\text{ and }B)=0.034P(A and B)=0.034, determine the value of P(B)P(B), rounding to the nearest thousandth, if necessary.

Answer 1

0.1

Explanation:

If A and B are independent, hence P(A and B) = P(A)P(B)

Given the following

P(A and B) = 0.034

P(A) = 0.34

Required

P(B)

Substitute into the given formula;

P(B) =P(A and B)/P(A)

P(B) = 0.034/0.34

P(B) = 0.1

Hence the value of P(B) is 0.1