Question

Trevor buys a bag of cookies that contains 6 chocolate chip cookies, 6 peanut butter cookies, 6 sugar cookiesand 4 oatmeal cookies.What is the probability that Trevor reaches in the bag and randomly selects an oatmeal cookie from the bag,eats it, then reaches back in the bag and randomly selects a sugar cookie? Round your answer to four decimalplaces.

Answer 1

Given the following data:

chocolate chip cookies = 6

peanut butter cookies = 6

sugar cookies = 6

oatmeal cookies = 4

Total of cookies = 22

• Probability of taking an oatmeal cookie at first:

4/22 = 2/11

• Probability of taking a second sugar cookie:

6/21 = 2/7

Total Probability:

2/11 x 2/7 = 4/77 = 0.0519