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]

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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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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