algebra2

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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 -

    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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