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Math Help - Probability with unlimited numbers

  1. #1
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    Probability with unlimited numbers

    Heres the question,
    A store carries sweaters in three colors (Brown, gray and red). Assume he store has an unlimited number of sweaters and that customers select color at random.

    a. What is the probability that three customers will select the same color?

    b. Determine the probability the three customers will not all select the same color.

    Thanks in advance for any help.
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  2. #2
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    Quote Originally Posted by lph2 View Post
    Heres the question,
    A store carries sweaters in three colors (Brown, gray and red). Assume he store has an unlimited number of sweaters and that customers select color at random.
    a. What is the probability that three customers will select the same color?
    b. Determine the probability the three customers will not all select the same color.
    This is an ill formed question. If seven or more customers buy sweaters then three of them will necessarily buy the same color. Is that what the question really says?
    Last edited by Plato; February 11th 2010 at 07:37 AM.
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  3. #3
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    Quote Originally Posted by Plato View Post
    This is an ill formed question. If seven or more customers buy sweaters then three of them will necessarily buy the same color. Is that what the question really says?
    No there are an unlimited number of each color sweaters and only three people picking sweaters. Basically the problem says you do not have to subtract 1 from the denominator to make up for the missing colored sweater. I thought the probability would be 1/3 cubed for the first question but that does not seem to make sense to me. Let me know if this helps
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    Quote Originally Posted by lph2 View Post
    No there are an unlimited number of each color sweaters and only three people picking sweaters. Basically the problem says you do not have to subtract 1 from the denominator to make up for the missing colored sweater. I thought the probability would be 1/3 cubed for the first question but that does not seem to make sense to me. Let me know if this helps
    There are 3^3=27 for the three people to buy a sweater.
    There are just 3 ways for the three people to all buy the same color.
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