Each time a player plays a certain card game, there is a probability of 0.15 that the game will work out successfully and there is a probability of 0.85 that the game will not work out successfully. The probability of success in any game is independent of the outcome of any other game. A player plays the games until a game works out successfully. 1. Find the probability that she plays 4 games altogether. 2. Find the probability that at most 6 games are played. 3.Write down the expected number of games that are played.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 8CC: (a) An experiment has two outcomes, "success" and "failure„" where the probability of success" is p....
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Question 6

Each time a player plays a certain card game, there is a probability of 0.15 that the game will work out successfully and there is a probability of 0.85 that the game will not work out successfully. The probability of success in any game is independent of the outcome of any other game. A player plays the games until a game works out successfully.

1. Find the probability that she plays 4 games altogether.

2. Find the probability that at most 6 games are played.

3.Write down the expected number of games that are played.

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