Q. 65.0( 2 Votes )

Two groups are competing for the positions of the Board of Directors of 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 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 us assume U1, U2 and A be the events as follows:

U1 = First team wins

U2 = Second team wins

A = Introduction of project

From the problem ir is given that,

P(A|U1) = P(introduction of project by team 1) = 0.7

P(A|U2) = P(introduction of project by team 2) = 0.3

Now we find

P(U2|A) = P(Project introduced by team 2)

Using Baye’s theorem:

The required probability is .

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses