Mark (√) against the correct answer in each of the following:
It is given that the probability that A can solve a given problem is 
and the probability that B can solve the same problem is 
. The probability that at least one of A and B can solve a problem is
P(A) = probability that A can solve the problem
= 3/5
And P(B) = probability that B can solve the problem = 2/3
P(A U B) = P(A) + P(B), As the events are independent
⇒ P(A ∩ B) = P(A).P(B)
Thus,
⇒ P(A) + P(B) = 3/5 +2/3 – 2/5 = 13/15
1