Question

The probability that Anirudh solves the given problem is ½ and probability that Akansh solves the given problem is . If the problem Is independently tried by them. What is the probability that 

(a) the problem is solved 

(b) both of them solve the problem 

(c) Anirudh alone solves the problem 

(d) Akansh alone solves the problem 

(e) Both do not solve the problem

Answer 1

P(A) = P(Anirudh solves the problem)

P(B) = (Akansh solves the problem) 

(a) P(problem is solved) = 1 - p(none solves)