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Probability of a raffle

  1. Oct 15, 2012 #1
    1. The problem statement, all variables and given/known data

    A bookstore has a draw for a $25 book certificate. Each customer draws a ticket from a bowl of 100 tickets. Only one of the tickets is a winning ticket and once the certificate is won, the draw is over. If the tickets are drawn with replacement, what is the probability that the winner is one of the first 10 customers?


    2. Relevant equations


    P(win) = 1/100 = 0.01
    P(lose) = 1 - P(lose) = 1-0.01 = 0.99

    P(winner within first 10 customers) = 1-P(lose)^10


    3. The attempt at a solution

    P(winner within first 10 customers) = 1-P(lose)^10

    P(winner within first 10 customers) =1-(0.99)^10 = 1-0.904 = 0.096 = 9.6%


    Therefore, the probability of a winner occurring within the first 10 customers is 9.6%


    Just looking for someone to compare answers with and to confirm the answer that I got.

    Thanks in advance
     
  2. jcsd
  3. Oct 15, 2012 #2

    Dick

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    Science Advisor
    Homework Helper

    Seems fine to me.
     
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