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

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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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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