Given a betting game where there are balls of same and equal mass and are numbered one to fifteen placed inside a jar and mixed properly. Then 3 balls were chosen at random without replacement where a ball is picked immediately one after the other in progression. i) Given person A who has sufficient money to only play for a total of four bets. Person A always bets that the result among the 3 balls chosen is a number smaller than six. After a streak of losses, find the probability that person A will be successful and win on his fourth bet.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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Given a betting game where there are balls of same and equal mass and are numbered one to fifteen
placed inside a jar and mixed properly. Then 3 balls were chosen at random without replacement where
a ball is picked immediately one after the other in progression.
i) Given person A who has sufficient money to only play for a total of four bets. Person A always bets
that the result among the 3 balls chosen is a number smaller than six. After a streak of losses, find the
probability that person A will be successful and win on his fourth bet.
Transcribed Image Text:Given a betting game where there are balls of same and equal mass and are numbered one to fifteen placed inside a jar and mixed properly. Then 3 balls were chosen at random without replacement where a ball is picked immediately one after the other in progression. i) Given person A who has sufficient money to only play for a total of four bets. Person A always bets that the result among the 3 balls chosen is a number smaller than six. After a streak of losses, find the probability that person A will be successful and win on his fourth bet.
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