Roulette is a casino game that involves players betting on where a ball will land on a spinning wheel. An American roulette wheel has 38 numbered slots — half of the slots from 1 to 36 are red and the other half are black. Slots 00 and 00 are both green. Suppose that a player bets $1 on a single slot. If the ball lands in their slot, the player gets their initial $1 back plus a payout of $35. If the ball doesn't land in their slot, they lose their $1 bet. Let X= the player's net gain from a $1 bet on a single slot. Here is the probability distribution of X: Find the expected value of a player's net gain on a $1 bet on a single slot. You may round your answer to the nearest thousandth

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Roulette is a casino game that involves players betting on where a ball will land on a spinning wheel. An American roulette wheel has 38 numbered slots — half of the slots from 1 to 36 are red and the other half are black. Slots 00 and 00 are both green.

Suppose that a player bets $1 on a single slot. If the ball lands in their slot, the player gets their initial $1 back plus a payout of $35. If the ball doesn't land in their slot, they lose their $1 bet. Let X= the player's net gain from a $1 bet on a single slot. Here is the probability distribution of X:

Find the expected value of a player's net gain on a $1 bet on a single slot.
You may round your answer to the nearest thousandth.

Win
Lose
X = net gain $35
-$1
1
37
P(X)
38
38
Transcribed Image Text:Win Lose X = net gain $35 -$1 1 37 P(X) 38 38
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