Question

Two students Anil and Sunil a appear in the examination The prpbability that Anil will qualify in the examination is 0.05 and that Sunil will qualify is 0.10. The probability that both will qualify in the examination is 0.02. Find the probability that Anil and Sunil will not qualify in the examination.

Answer 1

Let A, B denote the events that Anil, Sunil qualify in the exam 

P(A) = 0.05, P(B) = 0.1, P (A ∩ B) = 0.02 

P(A ∪ B) = P(A) + P(B) – P(A ∩ B) = 0.05 + 0.1 – 0.02 = 0.13 

P(A’ ∩ B’) = 1 – P (A ∪ B) = 1 – 0.13 = 0.87.