T Given that at least one of the red and blue dice turned up "WIN", what is the probability that the player did not win? 11/80

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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A game is played with three dice.
• There is a "selector" die with six faces: three of the faces are red and three are blue.
• There is a red die with twenty faces: one face is marked "WIN" and the nineteen others are marked "LOSE".
• There is a blue die with twelve faces: three faces are marked "WIN" and the nine others are marked "LOSE".
All three dice are rolled. The player wins if and only if either:
a)
b)
the selector die turns up red and the red die turns up "WIN"", or
the selector die turns up blue and the blue die turns up "WIN".
Find the probability of winning this game.
3/20
Given that the game was won, what is the probability that the selector die turned up red?
1/6
Given that at least one of the red and blue dice turned up "WIN", what is the probability that the player did not win?
11/80
Please solve c and don't reupload someone
else's answer.
Transcribed Image Text:A game is played with three dice. • There is a "selector" die with six faces: three of the faces are red and three are blue. • There is a red die with twenty faces: one face is marked "WIN" and the nineteen others are marked "LOSE". • There is a blue die with twelve faces: three faces are marked "WIN" and the nine others are marked "LOSE". All three dice are rolled. The player wins if and only if either: a) b) the selector die turns up red and the red die turns up "WIN"", or the selector die turns up blue and the blue die turns up "WIN". Find the probability of winning this game. 3/20 Given that the game was won, what is the probability that the selector die turned up red? 1/6 Given that at least one of the red and blue dice turned up "WIN", what is the probability that the player did not win? 11/80 Please solve c and don't reupload someone else's answer.
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