213k views
1 vote
Carrie buys a bag of cookies that contains 6 chocolate chip cookies, 8 peanut butter cookies, 5 sugar cookies and 5 oatmeal raisin cookies. What is the probability that Carrie randomly selects a peanut butter cookie from the bag, eats it, then randomly selects another peanut butter cookie?

User Leo Ma
by
4.3k points

1 Answer

2 votes

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

chocolate chip cookies = 6

peanut butter cookies = 8

sugar cookies = 5

oatmeal raisin cookies = 5

p (peanut butter cookie) = ?

Step 02:

Probability

Event 1:

p (peanut butter cookie) = favorable outcomes / total outcomes

total outcomes = total cookies = 6 + 8 + 5 + 5 = 24

favorable outcomes = peanut butter cookies = 8

p (peanut butter cookie) = 8 / 24 = 1 / 3

Event 2:

total outcomes = 23

favorable outcomes = 7

p (peanut butter cookie) = 7/23

The answer is:

p (peanut butter cookie) = 7/23 = 0.30

User Shawn McCool
by
4.3k points