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? asked in Science & MathematicsMathematics · 6 years ago

Probability help? Eight standard dice are tossed. What is the probability that you turn up three 5s?

Update:

Exactly 3 fives

2 Answers

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  • ?
    Lv 7
    6 years ago

    P(5) = 1/6

    P(not 5) = 1 - 1/6 = 5/6

    Number of ways of getting three 5s out of 8 = 8C3 = 56

    Required probability = 56*[1/6]^3*[5/6]^5

    = 0.1042

    or USE Binomial distribution

    P(getting a 5) = p = 1/6

    q = 1-p = 1-1/6 = 5/6

    n = 8

    P(x) = nCx*p^x*q^(n-x)

    Required probability = P(x=3) = 8C3*[1/6]^3*[5/6]^5

    = 0.1042

  • ?
    Lv 4
    6 years ago

    18.004%

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