Roulette is a casino game that involves players betting on where a ball will land on a spinning wheel. An American roulette whee
l 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
P(X) 18/38 20/38
Calculate the mean of X
You may round your answer to the nearest thousandth.
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