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Math Help - plan of attack

  1. #1
    Newbie
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    Unhappy plan of attack

    hi guys,

    i have this problem that i have been brewing over for several hours.

    Fred's game allows gamblers to select 5 numbers from the numbers 1 to 34. If all 5 chosen numbers are subsequently selected by Fred's random number selector machine, the gambler wins a prize. What is the minimum number of games that the gambler must play so that the probability of winning is greater than 9%?

    judging by the marks that it would be allocated (only 2) i assume it must be fairly simple and im simply missing the simplicity... that or it is much harder. i suspected that it may be a binomial probability question but still got no where.

    how can i go about solving this problem?
    Last edited by downunder; October 30th 2007 at 10:22 PM. Reason: html code error
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by downunder View Post
    hi guys,

    i have this problem that i have been brewing over for several hours.

    Fred's game allows gamblers to select 5 numbers from the numbers 1 to 34. If all 5 chosen numbers are subsequently selected by Fred's random number selector machine, the gambler wins a prize. What is the minimum number of games that the gambler must play so that the probability of winning is greater than 9%?

    judging by the marks that it would be allocated (only 2) i assume it must be fairly simple and im simply missing the simplicity... that or it is much harder. i suspected that it may be a binomial probability question but still got no where.

    how can i go about solving this problem?
    Actualy your question is not well formed. Does Fred's random number generator sample with or without replacement?

    RonL
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  3. #3
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    so i wasnt the only one wondering about that. im ausuming that they are without replacement though I could be totally wrong

    the answer for above is 25044 btw, though i just need to know how to acctaully come to get that number for other variations of the problem

    likewise for numbers 1-33 with 6 chosen and a requirment of at least 3% prob the answer is 33228
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