'black' ball: You each have a bag with 2 balls (1 black and 1 red) and you each randoml choose one ball out of your own bag. Whoever chooses a black ball from their bag mus pay the other person $1 regardless of what the other person selected. If you both choos the red ball, nobody pays the other person. Find the probability mass function (pmf) for your net winnings (in $) from this game

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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You and your friend play the following ball picking game in which you want to avoid the
'black' ball: You each have a bag with 2 balls (1 black and 1 red) and you each randomly
choose one ball out of your own bag. Whoever chooses a black ball from their bag must
pay the other person $1 regardless of what the other person selected. If you both choose
the red ball, nobody pays the other person.
Find the probability mass function (pmf) for your net winnings (in $) from this game.
Display it in table form.
Transcribed Image Text:You and your friend play the following ball picking game in which you want to avoid the 'black' ball: You each have a bag with 2 balls (1 black and 1 red) and you each randomly choose one ball out of your own bag. Whoever chooses a black ball from their bag must pay the other person $1 regardless of what the other person selected. If you both choose the red ball, nobody pays the other person. Find the probability mass function (pmf) for your net winnings (in $) from this game. Display it in table form.
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