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Math Help - Lottery Problem, Help!! life or death question

  1. #1
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    Lottery Problem, Help!! life or death question

    Problem: Suppose in a lottery game the chance of winning is 15%. If a person purchases 10 tickets, what is the probability of 3 winning tickets?

    I was using the binomial distribution method, where p(win) = .15 , n = 10, x = 3

    and got 0.1298 , does this sound right? What approach should I be using?
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  2. #2
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    Quote Originally Posted by isuckatprobability View Post
    Problem: Suppose in a lottery game the chance of winning is 15%. If a person purchases 10 tickets, what is the probability of 3 winning tickets?

    I was using the binomial distribution method, where p(win) = .15 , n = 10, x = 3

    and got 0.1298 , does this sound right? What approach should I be using?
    You should let X be "the number of tickets that win", so:

    X = Bin(10, 0.15)

    Then find P(X = 3):

    P(X = 3) = P(X \leq 3) - P(X \leq 2)
    P(X = 3) = .95 - .82
    P(X = 3) = .13

    So yes, it sounds right.
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