SOLUTION: In the game of​ roulette, a player can place a ​$7 bet on the number 4 and have a 1 Over 38 probability of winning. If the metal ball lands on 4,the player gets to

Algebra.Com
Question 1120592: In the game of​ roulette, a player can place a ​$7 bet on the number 4 and have a 1 Over 38 probability of winning.
If the metal ball lands on 4,the player gets to keep the ​$7 paid to play the game and the player is awarded an additional ​$245, Otherwise, the player is awarded nothing and the casino takes the​ player's ​$7
What is the expected value of the game to the​ player? If you played the game 1000​ times, how much would you expect to​ lose? Note that the expected value is the​ amount, on​ average, one would expect to gain or lose each game.
The expected value is ​$_____________.

Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


The expected value is the sum of all the different payouts, each multiplied by the probability of the corresponding outcome.

One possible outcome is the ball landing on 4; probability 1/38; payout +245.
The other possible outcome is the ball landing on any other number: probability 37/38, payout -7.

The expected value is



If you played the game 1000 times, the amount you would expect to lose is
(rounded to the nearest dollar, since each payout is a whole number of dollars).

RELATED QUESTIONS

In the game of​ roulette, a player can place a ​$8 bet on the number 14 and... (answered by stanbon)
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)
In the game of roulette, a player can place a $6 bet on the number 9 and have a 1\38... (answered by jorel1380)
In the game of roulette, a player can place a $8 bet on the number 14 and have a 1/38... (answered by VFBundy)
in the game of roulette, a player can plave a 6$ bet on the number 21 and have a 1/38... (answered by stanbon)
A roulette wheel contains 38 numbers ​(18 are​ red, 18 are​... (answered by Boreal)
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 stanbon)