The probability that a MBA aspirant will join 11M is 2/5 and that he will join XLRI is 1/3.

Question

The probability that a MBA aspirant will join 11M is 2 5 2 and that he will join XLRI is 1 3 1 . Find the probability that (a) he will join 11M or XLRI (b) he will join neither 11M nor XLRI. Select the correct answer from above options

Answer 1

Let A: MBA aspirant will join TIM ⇒ P(A) = 2 5 2 B: Will join XLRI ⇒ P(B) = 1 3 1 A ∩ B = 9 ∴ P(Join hI Mor x LRl) = P(A∪ B) = P(A) + (PB) = 2 5 2 + 1 3 1 = 11 15 11 P(Neither llM nor x LRI) = P(A’∪ B’) = P(A∪ B)’ = 1 – P(A∪B) = 1 - 11 15 11 = 15 − 11 15 15 = 4 15 4