In the game of roulette, a player can place a $7 bet on the number 21 and have a 25 probability of winning. If the metal ball lands on 21, 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. Find the expected value E(x) to the player for one play of the game. If x is the gain to a player in a game of chance, then E(x) is usually negative. This value gives the average amount per game the player can expect to lose. The expected value is $. (Round to the nearest cent as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 68E
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In the game of roulette, a player can place a $7 bet on the number 21 and have a
1
probability of winning. If the metal ball lands on 21, the player gets to keep the $7 paid to play the game and the player is awarded an additional $245.
38
Otherwise, the player is awarded nothing and the casino takes the player's $7. Find the expected value E(x) to the player for one play of the game. If x is the gain to a player in a game of chance, then E(x) is usually negative. This value gives the
average amount per game the player can expect to lose.
The expected value is $
(Round to the nearest cent as needed.)
Transcribed Image Text:In the game of roulette, a player can place a $7 bet on the number 21 and have a 1 probability of winning. If the metal ball lands on 21, the player gets to keep the $7 paid to play the game and the player is awarded an additional $245. 38 Otherwise, the player is awarded nothing and the casino takes the player's $7. Find the expected value E(x) to the player for one play of the game. If x is the gain to a player in a game of chance, then E(x) is usually negative. This value gives the average amount per game the player can expect to lose. The expected value is $ (Round to the nearest cent as needed.)
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