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  1. #1
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    Question 1. A major shoe store is selling brands A,B and C. Probabilities that Brand A,Brand B, or Brand C will not be big sellers are: 0.30,0.40,and 0.50 respectively Brands are from 3 independent companies. Calculate the probability that:

    a. none of the brand will be big sellers.
    b) exactly two brands will be big sellers
    c) exactly one brand will be a big seller
    d) all three brands will be big sellers.

    The formulas I used in the solutions are:
    a) P(none of the brand will be big sellers) = P(not A and not B and not C)
    b) P(exactly two brands will be big sellers) = P( A and B) + P( A and not C)
    P(B and not C) + P(A and C)
    c) P( exactly one brand will be a big seller) = 1- part b
    d) P(all three brands will be big sellers)= P (A and B and C), however if I take the complement of part a, it is not the same answer.

    Thanks in advance. Edwim12

  2. #2
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    Hi edwim12,

    b) P(exactly two brands)=P(A and B and not C)+P(A and not B and C)+P(not A and B and C)

    c) P(exactly one brand)=1-partb-P(all three brands will be big sellers)
    or P(exactly one brand)=P(A and not B and not C)+P(not A and B and not C)+P(not A and not B and C)

    d) the complement of A is {at least one brand will be big selllers} the probability will be larger than P(all three brands will be big sellers).

  3. #3
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    Thank you so much quark

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