Gregory buys a bag of cookies that contains 7 chocolate chip cookies, 5 peanut butter cookies, 8 sugar cookies and 8 oatmeal cookies. What is the probability that Gregory 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 peanut butter cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Gregory buys a bag of cookies that contains 7 chocolate chip
cookies, 5 peanut butter cookies, 8 sugar cookies and 8
oatmeal cookies.
What is the probability that Gregory 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 peanut
butter cookie?
Give your answer as a fraction, or accurate to at least 4
decimal places.
Transcribed Image Text:Gregory buys a bag of cookies that contains 7 chocolate chip cookies, 5 peanut butter cookies, 8 sugar cookies and 8 oatmeal cookies. What is the probability that Gregory 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 peanut butter cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.
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