A box contains 3 blue balls and four green balls. Judith and Giles play a game with each taking a turn to take a ball from the box without replacement. The first player to get a green ball is the winner.   1) judith plays first. Find the probability that she wins. The game is now changed so that the ball chosen is replaced after each turn. Judith still plays first. 2) Determine whether the probability of Judith winning has changed.

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 box contains 3 blue balls and four green balls. Judith and Giles play a game with each taking a turn to take a ball from the box without replacement. The first player to get a green ball is the winner.

 

1) judith plays first. Find the probability that she wins.

The game is now changed so that the ball chosen is replaced after each turn. Judith still plays first.

2) Determine whether the probability of Judith winning has changed.

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