In roulette, the numbers from 1 to 36 are evenly distributed between red and black. A...
In roulette, the numbers from 1 to 36 are evenly distributed between red and black. A player who bets $1 on black wins $1 (and gets the $1 bet back) if the ball comes to rest on black; otherwise (if the ball lands on red, 0, or 00), the $1 bet is lost. One option in a roulette game is to bet $11 on red. If the ball lands on red, you get to keep the $11 you paid to...
In the game of roulette, a player can place a $99 bet on the number 11 and have a (1/38) probability of winning. If the metal ball lands on 11 the player gets to keep the $9 paid to play the game and the player is awarded an additional $315. Otherwise, the player is awarded nothing and the casino takes the player's $9. What is the expected value of the game to the player? If you played the game 1000...
In the game of roulette, a player can place a $5 bet on the number 6 and have a 1/38 probability of winning. If the metal ball lands on 6 , the player gets to keep the $5 paid to play the game and the player is awarded an additional $175 . Otherwise, the player is awarded nothing and the casino takes the player's $5 . What is the expected value of the game to the player? The expected value...
In the game of roulette, a player can place a $9 bet on the number 28 and have a StartFraction 1 Over 38 EndFraction probability of winning. If the metal ball lands on 28, the player gets to keep the $9 paid to play the game and the player is awarded an additional $315. Otherwise, the player is awarded nothing and the casino takes the player's $9. What is the expected value of the game to the player? If...
In the game of roulette, a player can place a $10 bet on the number 6 and have a 1/38 probability of winning. If the metal ball lands on 6, the player gets to keep the $10 paid to play the game and the player is awarded an additional $350. Otherwise, the player is awarded nothing and the casino takes the player's $10. What is the expected value of the game to the player? If you played the game 1000...
In the game of roulette, a player can place a $8 bet on the number 9 and have a 1/ 38 probability of winning. If the metal ball lands on 9, the player gets to keep the $8 paid to play the game and the player is awarded an additional $280. Otherwise, the player is awarded nothing and the casino takes the player's $8. Find the expected value E(x) to the player for one play of the game. If x...
One of the wagers in the game of roulette is to place a bet that the ball will land on a red number. (Eighteen of the numbers are black, 18 are red, and two are green.) If the ball lands on a red number, the player wins the amount of his bet. If a player bets $5, find the player's expectation. (Round your answer to two decimal places.)
In the game of roulette, a player can place a 55 bet on the number 9 and have a probability of winning. If the metal ball lands on 9, the player gets to keep the $5 paid to play the game and the player is awarded an additional $175. Otherwise, the player is awarded nothing and the casino takes the player's $5. What is the expected value of the game to the player? If you played the game 1000 times,...
In the game of roulette, a player can place a $10 bet on the number 16 and have a 1/38 chance of probability chance of winning. If the metal balls lands on 16, the player gets to keep the $10 paid to play the game and the player is awarded an additional $350. Otherwise, the player is awarded nothing and the casino takes the takes the player's $10. What is the expected value of the game to the player? If...
Roulette is one of the most common games played in gambling casinos in Las Vegas and elsewhere. An American roulette wheel has slots marked with the numbers from 1 to 36 as well as 0 and 00 (the latter is called "double zero"). Half of the slots marked 1 to 36 are colored red and the other half are black. (The 0 and 00 are colored green.) With each spin of the wheel, the ball lands in one of these...