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 0 and 00 are both green.
Suppose that a player bets $1 on the color red. If the ball lands in a red slot, the player gets their initial $1 back
plus a payout of $1. If the ball doesn't land in a red slot, they lose their $1 bet. Let X = the player's net gain
from a $1 bet on a the color red. Here is the probability distribution of X:
Win
Lose
X = net gain $1
-$1
18
P(X)
20
38
38
Calculate the mean of X.
You may round your answer to the nearest thousandth.
E(X) =
dollars