Question

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?

Answer 1

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.