A jar contains 4 red marbles, 5 white marbles, and 8 blue marbles. Two marbles are randomly selected from the jar with replacement. Find the following probabilities. Leave your answer as a reduced fraction. a. A red marble and then a blue marble is randomly selected.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A jar contains 4 red marbles, 5 white marbles, and 8 blue
marbles. Two marbles are randomly selected from the jar
with replacement. Find the following probabilities. Leave
your answer as a reduced fraction.
a. A red marble and then a blue marble is randomly
selected.
b. A white marble and then a red marble is randomly
selected.
Transcribed Image Text:A jar contains 4 red marbles, 5 white marbles, and 8 blue marbles. Two marbles are randomly selected from the jar with replacement. Find the following probabilities. Leave your answer as a reduced fraction. a. A red marble and then a blue marble is randomly selected. b. A white marble and then a red marble is randomly selected.
Expert Solution
Step 1

From the given information, a jar contains 4 red marbles, 5 white marbles and 8 blue marbles.

That is, the total number of marbles is 4+5+8=17

Two marbles are randomly selected from the jar with replacement.

a)

The probability that the red marble and then a blue marble is randomly selected is,

Pred marble and blue marble=417*817                                                       =32289

 

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