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Chapter 12: Q14. (page 801)

Larissa has 5 peanut butter cookies, 7 chocolate chip cookies, 4 sugar cookies, and 9 oatmeal raisin cookies in a jar. If she picks two cookies at random without replacing them, what is the probability that she will choose a peanut butter cookie then a sugar cookie? Express your answer as a fraction.

Short Answer

Expert verified

A probability that Larissa will choose a peanut butter cookie then a sugar cookie is130.

Step by step solution

01

Step 1. Probability.

Find the probability of choosing a peanut butter cookie from a jar.

P1=525=15

02

Step 2. Probability.

As there is no replacement, find the probability of choosing a sugar cookie from 24 cookies in a jar.

P2=424=16

03

Step 3. Find the total probability.

As both the events follow, the probability that she will choose a peanut butter cookie then a sugar cookie is

P=P1鈰�P2=15鈰�16=130

Therefore, that Larissa will choose a peanut butter cookie then a sugar cookie is 130.

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