Question

Christy buys a bag of cookies that contains 7 chocolate chip cookies, 4 peanut butter cookies, 7 sugar

cookies and 4 oatmeal cookies. what is the probability that christy randomly selects an oatmeal cookie
from the bag, eats it, then randomly selects a chocolate chip cookie? express you answer as a reduced
fraction.

Answer 1

`(2)/(33)`

Explanation:

There are 22 cookies in all.

The probability of selecting an oatmeal cookie is 4/22, or 2/11. Since that cookie is eaten, there are 21 cookies left, so the probability of selecting a chocolate chip cookie is 7/21, or 1/3. Multiplying these probabilities, we have 2/33.