Use R code: On Day 1, Basket A contains 10 red balls and Basket B contains 10 blue balls. Each morning you pick a ball at random from Basket A and put it in Basket B. Each evening, you pick a ball at random from Basket B and put it in Basket A. Every time you transfer a blue ball you drop a penny in a piggy bank, every time you transfer a red ball you drop a nickel in the piggy bank. On Day 366 morning, how many balls of each color are in the two baskets? On Day 366 morning how much money is in the piggy bank? The answers are not numbers, but random variables. Give their probability mass functions.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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On Day 1, Basket A contains 10 red balls and Basket B contains 10 blue balls. Each morning you pick a ball at random from Basket A and put it in Basket B. Each evening, you pick a ball at random from Basket B and put it in Basket A. Every time you transfer a blue ball you drop a penny in a piggy bank, every time you transfer a red ball you drop a nickel in the piggy bank. On Day 366 morning, how many balls of each color are in the two baskets? On Day 366 morning how much money is in the piggy bank? The answers are not numbers, but random variables. Give their probability mass functions. 

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