Math

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The probability that Aaron sees Hannah on any given day is 1/2. What is the probability that he sees her 3 out of all 5 days this week?

  • Math -

    If we can assume random trials, and that probability remains constant (at 1/2).

    Use binomial distribution.
    N=5 (no. of trials),
    n=3 (no. of successes),
    p=1/2 (probability), q=(1-p)=1/2
    P(3 out of 5)
    =C(5,3)p^3q^(5-3)
    =5!/(2!3!) (1/2)^3(1/2)^2
    =10/32
    =5/16

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