a company has estimated that the probabilities of success for 3 products introduced in the market are 1/5,2/3, and 1/2, respectively. Assuming independence, find the probability that exactly 1 product is successful.

Answer 1

Make a tree diagram assuming the products are introduced one after the other.
Assuming
A=success of product 1, and
a=failure of product 1, etc.

Required probability
=P(Abc)+P(aBc)+P(abC)
=(1/5)(1/3)(1/2)+(4/5)(2/3)(1/2)+(4/5)(1/3)(1/2)
=13/30