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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.

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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 \(\frac{2}{9}\)

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