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Math Help - proof

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    proof

    supposed that A and B are independent events such that the probability that neither occurs is a and the probability of B is b. show that P(A) =(1- b-a) /(1-b)
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    Quote Originally Posted by alexandrabel90 View Post
    supposed that A and B are independent events such that the probability that neither occurs is a and the probability of B is b. show that P(A) =(1- b-a) /(1-b)
    You know that if A and B are independent events so are A' and B' are independent events.
    a=P(A'\cap B')=P(A')P(B')=(1-P(A))(1-P(B))=(1-{\color{blue}P(A)})(1-b)
    Now solve for {\color{blue}P(A)}
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