A certain system can experience 2 difference types of defect

A certain system can experience 2 difference types of defects. Let , Ai=1,2 denote the event that the system has a defect of type i. Suppose that A₁=0.15, A₂=0.1, P(A₁ and A₂) = 0.08, and . If the system has a type 1 defect, what is the probability that it has a type 2 defect? (Consider the conditional probability).

a.) 0.47

b.) 0.33

c.) 0.252

d.) 0.53

Solution

The answer is (D)