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18 August, 12:13

Ryan buys a bag of cookies that contains 8 chocolate chip cookies, 4 peanut butter cookies, 4 sugar

cookies and 8 oatmeal cookies. What is the probability that Ryan randomly selects a peanut butter

cookie from the bag, eats it, then randomly selects a chocolate chip cookie?

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Answers (1)
  1. 18 August, 12:21
    0
    4/69 to be exact. Slightly greater than 1/18

    Step-by-step explanation:

    The chance of selecting the PB cookie on the first try is 4 out of 24 or 1 out of 6. There are now 23 coolies left; 8 are chocolate, so 8/23 chance. (Slightly greater than 1/3) The chance of both events happening is the product if the individual events' chances. So multiply 1/6 times 8/23 to get 8/138. That reduces to 4 / 69. If he had put that first cookie back, the multiplication would have been 1/6*1/3. A lot easier.
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