The predicted gain (or loss) from a single trial is 53 cents per game on average.
A roulette wheel has the number 1 through 36, as well as 0 and 00. If you wager $1 that an odd number would show up, you will win or lose $1 depending on whether or not that occurrence occurs. If random variable X represents your net benefit, X=1 with probability 18/38 and X=-1 with probability 20/38.
E(X) = 1(18/38) – 1 (20/38) = -$.053
On average, the casino wins 5 cents for each game.
If the stakes are raised, the casino makes even more money:
E(X) = 10(18/38) – 10 (20/38) = -$.53
If the cost is $10 for each game, the casino wins an averaged of 53 cents per game. If 10,000 games are played in a single night, that's a cool $5300.
To learn more about the roulette wheel probability questions, use the link below.
https://brainly.com/question/5883617?referrer=searchResults
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