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MATH / A player pays 5 to play a game. A six-sided die is rolled. If the number on the die is odd, the game is lost. If the number on the die is even, the die is rolled again. In this cas…

Problem

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problem

A player pays $5\$5 to play a game. A six-sided die is rolled. If the number on the die is odd, the game is lost. If the number on the die is even, the die is rolled again. In this case the player wins some amount of money if the second number matches the first and loses otherwise. How much money should the player win if the game is fair? (In a fair game the probability of winning times the amount won is what the player should pay.)
Plain-text mathematical notation (without MathML)
A player pays $5 to play a game. A six-sided die is rolled. If the number on the die is odd, the game is lost. If the number on the die is even, the die is rolled again. In this case the player wins some amount of money if the second number matches the first and loses otherwise. How much money should the player win if the game is fair? (In a fair game the probability of winning times the amount won is what the player should pay.)
Original LaTeX notation
A player pays $\$5$ to play a game. A six-sided die is rolled. If the number on the die is odd, the game is lost. If the number on the die is even, the die is rolled again. In this case the player wins some amount of money if the second number matches the first and loses otherwise. How much money should the player win if the game is fair? (In a fair game the probability of winning times the amount won is what the player should pay.)

level

Level 4

type

Counting & Probability

Discussion

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Source and history

task_id
77fae06e-e59b-50a8-8466-0b6db009f084
task_key
counting~5fand~5fprobability--test--77fae06e-e59b-50a8-8466-0b6db009f084
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import