Posted by **glenda** on Saturday, July 6, 2013 at 12:17am.

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.

- algebra2 -
**MathMate**, Saturday, July 6, 2013 at 6:39am
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

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