me, the gamer wins 20 dollars if he gets the number "6" facing up in rolling a fair die; he needs to pay c dollars otherwise. The gamer decided to continue playing the game until he wins three times. If the expected gain of the gamer is 0 dollars, what is the value of c? [This question seems to be a negative binomial distribution question]

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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In a game, the gamer wins 20 dollars if he gets the number "6" facing up in rolling a fair die; he needs to pay c dollars otherwise. The gamer decided to continue playing the game until he wins three times. If the expected gain of the gamer is 0 dollars, what is the value of c? [This question seems to be a negative binomial distribution question]

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