Probability of at least one of the events A and B occur is 0.6 . If A and B occur simultaneously with probability 0.2 , then P( A ) + P( B ) is

Step-by-step solution

Given P(A B) = 0.6 and P(A B) = 0.2 . Using the addition theorem of probability: P(A B) = P(A) + P(B) - P(A B) 0.6 = P(A) + P(B) - 0.2 P(A) + P(B) = 0.8 We need to find P( A ) + P( B ) : P( A ) + P( B ) = (1 - P(A)) + (1 - P(B)) P( A ) + P( B ) = 2 - (P(A) + P(B)) P( A ) + P( B ) = 2 - 0.8 = 1.2 Answer: 1.2