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Math Help - Probability with towels

  1. #1
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    Probability with towels

    A small gym owns 162 towels: red (R), blue striped (S), red with blue stripes (R ∩ S), and white (W).

    If:
    The probability a towel is red given that it has blue stripes is 20/29 : Pr(R ∩ S |S ) = 20/29
    You are 2/3 as likely to get a white towel as you are to get a red towel with
    no stripes: Pr(R \ S) = 2/3Pr(W)

    (a) How many white towels are there?
    (b) What is the probability of getting a striped towel?

    I have no idea how to start this problem, I feel as if there isn't enough information given. If anybody could help me in any way that would be extremely helpful, thank you.
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  2. #2
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    Is this the exact wording of the question or did you put in your own notation with the R, S and W?
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  3. #3
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    Quote Originally Posted by Phillip View Post
    A small gym owns 162 towels: red (R), blue striped (S), red with blue stripes (R ∩ S), and white (W).

    If:
    The probability a towel is red given that it has blue stripes is 20/29 : Pr(R ∩ S |S ) = 20/29
    You are 2/3 as likely to get a white towel as you are to get a red towel with
    no stripes: Pr(R \ S) = 2/3Pr(W)

    (a) How many white towels are there?
    (b) What is the probability of getting a striped towel?

    I have no idea how to start this problem, I feel as if there isn't enough information given. If anybody could help me in any way that would be extremely helpful, thank you.
    It looks like there's not enough information.
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