Two groups are competing for the positions 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 when the second groups win, the corresponding probability is 0.3. Find the probability that the new product introduced was by the second group.
Let F : First group

S : Second group

N : Introducing a new product

We want to find P(S|N), i.e. new product introduced by the second group

Conclusion: Therefore, the probability of the second group introduced a new product is

Question

Let F : First group

S : Second group

N : Introducing a new product

We want to find P(S|N), i.e. new product introduced by the second group

Conclusion: Therefore, the probability of the second group introduced a new product is

Philoid · Accepted Answer

Let F : First group

S : Second group

N : Introducing a new product

We want to find P(S|N), i.e. new product introduced by the second group

Conclusion: Therefore, the probability of the second group introduced a new product is