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Thread: Drawing Two Coins

  1. #1
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    Drawing Two Coins

    Define a sample space for the experiment of drawing two coins from a purse that contains two quarters, three nickels, one dime, and four pennies.

    Q - Quarter
    N - Nickel
    D - Dime
    P - Penny

    S = {QQ, QN, QP, QD, DN, DP, NP, NN, PP}
    This is the book answer.

    I am wondering why the sample space did not include NQ, PQ, DQ, ND, PD, PN?
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  2. #2
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    Re: Drawing Two Coins

    The experiment doesn't care about the order of the drawings, only the result after drawing two.

    NQ is included as QN, PQ as QP, etc.
    Thanks from joshuaa
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  3. #3
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    Re: Drawing Two Coins

    How do we know that the experiment doesn't care about the order of the drawings?
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  4. #4
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    Re: Drawing Two Coins

    Quote Originally Posted by joshuaa View Post
    How do we know that the experiment doesn't care about the order of the drawings?
    generally if order matters they'll say so.

    In this problem you can infer order doesn't matter because you are drawing "two coins", not one after the other.
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  5. #5
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    Re: Drawing Two Coins

    yeah so clear. thanks a Lot.
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