question_answer 40)

Two groups are competing for the position on the board of directors of a corporatin. The probabilities that the first and the second groups will win are 0.6 nd 0.4 respectively. Further if the first group wins, the probability of introducing a new product is 0.7 and the corresponding probability is 0.3 if the second group wins. Find the probability that the new product introduced was by the second group. 

Answer:

 Let E1 and E2 are the events of winning of the first group and second group respectively and A = event of introducing a new product.             and P(A/E2) = 0.3       Required probability = P(E2/A)