Ex 13.3, 9 - Chapter 13 Class 12 Probability (Term 2)

Transcript

Ex 13.3, 9 Two groups are competing for the position on the Board of directors of a corporation. The probabilities that the first and the second groups will win are 0.6 and 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. Let E : first group wins F : second group wins G : new product is introduced We need to find the Probability that the new product introduced was by the second group i.e. P(F|G) So, P(F|G) = . ( | ) . | + . ( | ) Putting values in formula, P(F|G) = 0. 4 0. 3 0. 6 0. 7 +0. 4 0. 3 = 0. 12 0. 42 + 0. 12 = 0. 12 0. 54 = Therefore, required probability is