Question

Cody buys a bag of cookies that contains 8 chocolate chip cookies, 8 peanut butter cookies, 9 sugar cookiesand 4 oatmeal cookies. What is the probability that Cody randomly selects a sugar cookie from the bag, eatsit, then randomly selects a peanut butter cookie? Express you answer as a reduced fraction.

Answer 1

Given:

Cody buys a bag of cookies that contains 8 chocolate chip cookies, 8 peanut butter cookies, 9 sugar cookies, and 4 oatmeal cookies.

So, the total number of cookies = 8 + 8 + 9 + 4 = 29

Cody randomly selects a sugar cookie from the bag, eats it

So, the probability to select a sugar cookie = 9/29

The number of the remaining cookies = 29 - 1 = 28

Then Cody randomly selects a peanut butter cookie.

So, the probability will be = 8/28

The overall probability will be as follows:

`(9)/(29)*(8)/(28)=(18)/(203)`

So, the answer will be: the probability = 18/203