Y Ou are piaying a game involving a fair 6-sided die and a fair coin. First the die is rolled. If the number on the die is evenly divisible by 3 (i.e., either 3 or 6), then the coin is flipped twice, but if the number on the die is not evenly divisible by 3 (i.e., either 1, 2, 4 or 5), then the coin is flipped only once. You win $1 every time head appears on the coin and you win nothing every time a tail appears. On one play of the game, determine the probability that you win some money. Determine the probability that the roll of the die was a 3 or a 6, given that you did win some money.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Y Ou are piaying a game involving a fair 6-sided die and a fair coin. First the die is rolled.
If the number on the die is evenly divisible by 3 (i.e., either 3 or 6), then the coin is flipped
twice, but if the number on the die is not evenly divisible by 3 (i.e., either 1, 2, 4 or 5),
then the coin is flipped only once. You win $1 every time head appears on the coin and
you win nothing every time a tail appears.
а.)
b.)
did win some money.
On one play of the game, determine the probability that you win some money.
Determine the probability that the roll of the die was a 3 or a 6, given that you
Transcribed Image Text:Y Ou are piaying a game involving a fair 6-sided die and a fair coin. First the die is rolled. If the number on the die is evenly divisible by 3 (i.e., either 3 or 6), then the coin is flipped twice, but if the number on the die is not evenly divisible by 3 (i.e., either 1, 2, 4 or 5), then the coin is flipped only once. You win $1 every time head appears on the coin and you win nothing every time a tail appears. а.) b.) did win some money. On one play of the game, determine the probability that you win some money. Determine the probability that the roll of the die was a 3 or a 6, given that you
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