If i roll a dice with a 0.6% chance of hitting a certain number, what is the % chance that i will hit that number 3 times within 60 rolls?

Trying to see the chance of something. Let's say you roll a dice that has a 0.6% chance of hitting a certain number and you do this 60 times. What is the % chance that you will get that 0.6% number 3 times within that 60 rolls? 

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  • alex
    Lv 7
    3 weeks ago

    X~Bi(n=60 , p = 0.6%)

    find 

    Pr(X=3)

  • fcas80
    Lv 7
    3 weeks ago

    Exactly 3 times:  binomial distribution:  C(60,3) * (.006^3) * (.994^57) = .0052

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