A bag contains 1 red ball, 3 blue balls, and 2 green balls. You pick 3 balls at random without replacement.  Let R be the random variable counting the number of red balls chosen and G be the random variable counting the number of green balls chosen. b) Determine the joint probability mass function of the random variables R and G. Write it in a table with six entries. Also state how you can check your answer.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A bag contains 1 red ball, 3 blue balls, and 2 green balls.

You pick 3 balls at random without replacement. 

Let R be the random variable counting the number of red balls chosen and G be the random variable counting the number of green balls chosen.

b) Determine the joint probability mass function of the random variables R and G. Write it in a table with six entries. Also state how you can check your answer.

 

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