SOLUTION: One of the wagers in the game of roulette is to place a bet that the ball will land on a black number. (Eighteen of the numbers are black, 18 are red, and two are green.) If the ba

Algebra.Com
Question 437614: One of the wagers in the game of roulette is to place a bet that the ball will land on a black number. (Eighteen of the numbers are black, 18 are red, and two are green.) If the ball lands on a black number, the player wins the amount of his bet. If a player bets $2, find the player's expectation. (Round your answer to two decimal places.)
Please explain in steps what you did to get this answer

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
One of the wagers in the game of roulette is to place a bet that the ball will land on a black number. (Eighteen of the numbers are black, 18 are red, and two are green.) If the ball lands on a black number, the player wins the amount of his bet. If a player bets $2, find the player's expectation. (Round your answer to two decimal places.)
-------------------------
Random player gain numbers:::: 2, -2
Corresponding Probabilities: 18/38 , 20/38
-----------------------------------------
E(x) = 2(18/38) - 2(20/38) = -4/38 = -0.1052 dollars or -10.52 cents
==================================================
Cheers,
Stan H.

RELATED QUESTIONS

One of the wagers in the game of roulette is to place a bet that the ball will land on a... (answered by math_helper)
One of the wagers in the game of roulette is to place a bet that the ball will land on a... (answered by Boreal)
Suppose that you are at a casino playing roulette. The strategy you are using is to,... (answered by ikleyn)
In the game of roulette, a player can place a $5 bet on the number 17 and have a 1/38... (answered by greenestamps)
In the game of roulette, a player can place a $5 bet on the number 17 and have a 1/38... (answered by greenestamps)
2.2 Roulette Wheel. The game of roulette involves spinning a wheel with 38 slots: 18 red, (answered by greenestamps)
2.2 Roulette wheel: The game of roulette involves spinning a wheel with 38 slots: 18... (answered by ikleyn)
Roulette wheel.The game of roulette involves spinning a wheel with 38 slots: 18 red, 18... (answered by greenestamps)
In the game of roulette, a player can place a $6 bet on the number 9 and have a 1\38... (answered by jorel1380)