SOLUTION: Maxim buys a bag of cookies that contains 7 chocolate chip cookies, 7 peanut butter cookies, 4 sugar cookies and 5 oatmeal cookies. What is the probability that Maxim reaches in

Algebra ->  Probability-and-statistics -> SOLUTION: Maxim buys a bag of cookies that contains 7 chocolate chip cookies, 7 peanut butter cookies, 4 sugar cookies and 5 oatmeal cookies. What is the probability that Maxim reaches in      Log On


   

Question 1206163: Maxim buys a bag of cookies that contains 7 chocolate chip cookies, 7 peanut butter cookies, 4 sugar cookies and 5 oatmeal cookies.
What is the probability that Maxim reaches in the bag and randomly selects a chocolate chip cookie from the bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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The total number of cookies in the bag is 7+7+4+5 = 23.


The answer to the problem's question is

    P = %287%2F23%29%2A%287%2F22%29 = 0.09684  (rounded).    ANSWER

The formula is self-explanatory.

Notice that in the formula, the second denominator is 1 less than first denominator.

It is because one cookie is just eaten.