Question

Garrett buys a bag of cookies that contains 8 chocolate chip cookies, 6 peanut butter cookies, 7 sugar cookies and 7 oatmeal cookies. What is the probability that Garrett 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 an oatmeal cookie

Answer 1

p(chocolate chip) = 2/7

p(oatmeal) = 7/27

Explanation:

probability = favorable outcomes/total outcomes

First, add up all the cookies in the bag.

8 + 6 + 7 + 7 = 28

Next find the probability of selecting a chocolate chip cookie. Since there are 8 chocolate chip cookies and 28 cookies in the bag, create a fraction.

p(chocolate chip) = 8/28

reduce by 4

p(chocolate chip) = 2/7

Now that the cookie was eaten that will reduce the number of chocolate chip cookies to 7 and the overall number of cookies to 27.

There are 7 oatmeal cookies and 27 total cookies, so create the fraction.

p(oatmeal) = 7/27