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In practical use, oral contraceptives have a 5% chance of failing. If a doctor has 10 patients using oral contraceptives, what is the probability that at least 1 will get pregnant?

  • Statistics -

    Here's one way to do this problem:

    n = 10
    p = .05
    q = 1 - p = 1 - .05 = .95

    You will need to find P(0). You can then take 1 - P(0) for your probability, which is easier than finding P(1) through P(10).

    You can use a binomial probability table, or calculate by hand using the following formula:
    P(x) = (nCx)(p^x)[q^(n-x)]

    I'll let you take it from here.

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