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.

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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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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