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 $19 on red. If the ball lands on red, you get to keep the $19 you paid to play the game, and you are awarded $21. If the ball lands elsewhere, you are awarded nothing, and the $19 that you bet is collected. What is the expected value of the game? The expected value for playing roulette if you bet $19 on red is approximately $ (Round to the nearest cent as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 $19 on red. If the ball lands on red, you get to keep the $19 you paid to play the game, and you are awarded $21. If the ball lands elsewhere, you are awarded nothing, and the $19 that you bet is collected. What is the expected value of the game?
The expected value for playing roulette if you bet $19 on red is approximately $
(Round to the nearest cent as needed.)
Transcribed Image Text: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 $19 on red. If the ball lands on red, you get to keep the $19 you paid to play the game, and you are awarded $21. If the ball lands elsewhere, you are awarded nothing, and the $19 that you bet is collected. What is the expected value of the game? The expected value for playing roulette if you bet $19 on red is approximately $ (Round to the nearest cent as needed.)
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