An urn contains 15 balls marked LOSE and 3 balls marked WIN. Suppose that Chuck and Delilia take turns selecting one ball from the urn, without replacement, where Vhuck makes the first selection. The individual that draws the third WIN ball wins the game. It does not matter who selected the first two.  Show that the probability Chuck wins the game on his third selection is equal to 1/136.

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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An urn contains 15 balls marked LOSE and 3 balls marked WIN. Suppose that Chuck and Delilia take turns selecting one ball from the urn, without replacement, where Vhuck makes the first selection. The individual that draws the third WIN ball wins the game. It does not matter who selected the first two. 

Show that the probability Chuck wins the game on his third selection is equal to 1/136.

 

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