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 $8 on red. If the ball lands on red, you get to keep the $8 you paid to play the game, and you are awarded $9. If the ball lands elsewhere, you are awarded nothing, and the $8 that you bet is collected. What is the expected value of the game?
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 $8 on red. If the ball lands on red, you get to keep the $8 you paid to play the game, and you are awarded $9. If the ball lands elsewhere, you are awarded nothing, and the $8 that you bet is collected. What is the expected value of the game?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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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
$8
on red. If the ball lands on red, you get to keep the
$8
you paid to play the game, and you are awarded
$9.
If the ball lands elsewhere, you are awarded nothing, and the
$8
that you bet is collected. What is the
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 $8 on red. If the ball lands on red, you get to keep the $8 you paid to play the game, and you are awarded $9. If the ball lands elsewhere, you are awarded nothing, and the $8 that you bet is collected. What
is the expected value of the game?
The expected value for playing roulette if you bet $8 on red is approximately $
(Round to the nearest cent as needed.)
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