You and your friend decide to play a game at a carnival that costs you $1 to play. The game involves flipping two coins and rolling a 6-sided die. If you flip two heads and roll a 3 on the die you win $25. If you flip two heads and roll an even number, you win $10. If you flip two tails with any dice roll, you win $5. List all of the possible outcomes for this game (i.e., the sample space).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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6. You and your friend decide to play a game at a carnival that costs you $1 to play. The game
involves flipping two coins and rolling a 6-sided die. If you flip two heads and roll a 3 on the
die you win $25. If you flip two heads and roll an even number, you win $10. If you flip two
tails with any dice roll, you win $5.
а.
List all of the possible outcomes for this game (i.e., the sample space).
b. Calculate your expected value for this game.
Game Outcome
Probability
c. Is this game profitable over time? How do you know?
Transcribed Image Text:6. You and your friend decide to play a game at a carnival that costs you $1 to play. The game involves flipping two coins and rolling a 6-sided die. If you flip two heads and roll a 3 on the die you win $25. If you flip two heads and roll an even number, you win $10. If you flip two tails with any dice roll, you win $5. а. List all of the possible outcomes for this game (i.e., the sample space). b. Calculate your expected value for this game. Game Outcome Probability c. Is this game profitable over time? How do you know?
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