You play a game of chance that you can either win or lose (there are no other possibilities) until you lose. Your probability of losing is p = 0.66. What is the probability that it a. takes 2 games until you lose. b. takes 5 games until you lose. c. Find the mean

You play a game of chance that you can either win or lose (there are no other possibilities) until you lose. Your probability of losing is p = 0.66. What is the probability that it a. takes 2 games until you lose. b. takes 5 games until you lose. c. Find the mean

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

You play a game of chance that you can either win or lose (there are no other possibilities) until you lose. Your probability of losing is p = 0.66. What is the probability that it

a. takes 2 games until you lose.
b. takes 5 games until you lose.
c. Find the mean
c. Find the standard deviation.

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Expert Solution

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3.
Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

a) Given that the probability of losing is 0.66. So the probability of winning is = 1-0.66= 0.34

If it takes 2 games to lose then it means I lose the first 2 games and win the third game.

the probability of that is= ${(0.34)}^{2} \times 0.66 = 0.076296$

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