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Thread: Fairly hard probability q [SOLVED]

  1. #1

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    Hyperactive Member boku's Avatar
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    Resolved Fairly hard probability q [SOLVED]

    Using 3 of the same 100 sided die that david185000 used in his a "Probability Teaser" thread.

    What would be the chances of:

    1 of the die landing on a prime number.
    2 of the die landing on a prime number.
    3 of the die landing on a prime number.
    Last edited by boku; Jul 4th, 2005 at 10:02 AM.
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  2. #2

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    Re: Fairly hard probability q.

    For those who dont know:

    a prime number is a number that can only exactly be divided by 1 and itself. e.g.

    The only divisors of 13 are 1 and 13, making 13 a prime number, while the number 24 has divisors 1, 2, 3, 4, 6, 8, 12, and 24.
    -BoKu-

  3. #3
    I don't do your homework! opus's Avatar
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    Re: Fairly hard probability q.

    First you need the number of Primes below 100.....
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    That are 25 numbers out off 100, so to get a prime on one 100 sided has the probability of 0.25. (i.e. ProbPrime 0.25 / ProbNoPrime 0.75

    Q1 roll 4 dice and have only 1 Prime.
    ProbPrime*probNoPrime^3=0.10546875

    Q2 roll 4 dive and have 2 with a prime
    ProbPrime^2*probNoPrime^2=0.03515625

    Q3 roll 4 dive and have 3 with a prime
    ProbPrime^3*probNoPrime=0.01171875

    And finally t oget 4 primes
    ProbPrime^4=0.00390625
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  4. #4
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    Re: Fairly hard probability q [SOLVED]

    What is the shape of a die with 100 sides if it is required that each side have the same probability of being faceup?
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