# statistics

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The game of roulette uses a wheel containing 38 pockets. Thirty-six pockets are numbered 1, 2, 3, ..., 35, 36, and the remaining two are marked 0 and 00. The wheel is spun, and a pocket is identified as the "winner." Assume that the observance of any one pocket is just as likely as any other.
Suppose you bet \$5 on a single number -- say, the number 18. The payoff on this type of bet is usually 35 to 1. What is your expected gain?

• statistics -

175(1/38) - 5(37/38) = ?

Of course, strictly speaking, you won't "win" exactly \$175 on 18, because \$5 of that was your original bet.

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