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Warren buys a bag of cookies that contains 5 chocolate chip cookies, 6 peanut butter cookies, 6 sugar cookies and 6 oatmeal cookies.What is the probability that Warren reaches in the bag and randomly selects 2 peanut butter cookies from the bag? Round your answer to four decimal places. Hint: Did you use conditional probability?

1 Answer

4 votes

ANSWER

0.0593

Step-by-step explanation

The total number of cookies in the bag is,


5+6+6+6=23

When Warren takes the first cookie, the probability of it being a peanut butter cookie is 6 out of 23,


P(pb_1)=(6)/(23)

If the first cookie was peanut butter, when he takes the second cookie there are only 5 peanut butter cookies left and a total of 22 cookies, so the probability of that second cookie being peanut butter is,


P(pb_2)=(5)/(22)

So, the probability that Warren selects 2 peanut butter cookies from the bag is,


P(2pb)=(6)/(23)*(5)/(22)\approx0.0593

Hence, the probability that he takes 2 peanut butter cookies is 0.0593.

User JNWHH
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