In American roulette, the wheel has the 38 numbers, 00, 0, 1, 2, 34, 35, and 36, marked on equally spaced slots. If a player bets $4 on a number and wins, then the player keeps $4 and receives an additional $140. Otherwise, the player is awarded nothing, and the casino takes the player's $4. 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.

MATLAB: An Introduction with Applications
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In American roulette, the wheel has the 38 numbers, 00, 0, 1, 2, ..., 34, 35, and 36, marked on equally spaced slots. If a player bets $4 on a number and wins, then the player keeps $4 and receives an additional $140. Otherwise, the player is awarded
nothing, and the casino takes the player's $4. 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 American roulette, the wheel has the 38 numbers, 00, 0, 1, 2, ..., 34, 35, and 36, marked on equally spaced slots. If a player bets $4 on a number and wins, then the player keeps $4 and receives an additional $140. Otherwise, the player is awarded nothing, and the casino takes the player's $4. 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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