Question

Probability that a student A can solve a problem is 3/5 and that of B can solve is 5/7 Find the probability that 

1. both solve 

2. atleast one solve 

3. None solve the problem.

Answer 1

Let P(A) = \(\frac{3}{5}\), P(B) = \(\frac{5}{7}\) 

1. P(Both solve) = P(A∩B) = P(A) x P(B). 

Since A and B are independent.

2. P(atleast one solve the problem) = P(A∪B) = P(A) + P(B) – P(A∩B)

3. P(None solve the problem)