An urn holds 4 red, 3 blue, and 2 green marbles. Three marbles are selected, altogether, without replacement. Let Y be the number of red marbles obtained. What is the expectation of Y? Give an answer in decimal format and correct to at least 4 decimal place accuracy.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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An urn holds 4 red, 3 blue, and 2 green marbles.
Three marbles are selected, altogether, without replacement.

Let Y be the number of red marbles obtained.

What is the expectation of Y?

Give an answer in decimal format and correct to at least 4 decimal place accuracy.

Expert Solution
Step 1: Determine the given variable

Given:

Red marbles: 4
Blue marbles: 3
Green marbles: 2
Total marbles: 4+3+2=9
Number of marbles selected: 3
Let Y be the number of red marbles obtained.

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