Question

A shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component. Event B is the event that the next component is a CD player (so event B is contained in A). Suppose that P(A) = 0.6 and P(B) = 0.05. What is P(B|A)?

Answer 1

Answer: 0.6

Explanation:

The probability formula to find p(B/A) is :

P(B/A) = p(A n B) / p(B)

Which means that A is contain in B and p(A n B) is p(A)

p(A n B)= p(A)=0.6 × 0.05 = 0.03

p(B)=0.05

Therefore

P(B/A) = p(A n B) / p(B)=p(A) / p(B)

P(B/A)=0.03 / 0.05

P(B/A)=0.6