Description

The American roulette wheel has 38 slots numbered 00, 0, and 1–36.

1. Slots 0, 00 are green;
2. Slots 1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36 are red;
3. Slots 2, 4, 6, 8, 10, 11, 13, 15, 17, 20, 22, 24, 26, 28, 29, 31, 33, 35 are black.

The roulette experiment consists of spinning the wheel and rolling a ball in a groove in the wheel in the opposite direction of the wheel; the ball eventually falls randomly into one of the 38 slots. One of seven different bets can be selected from the list box:

1. Bet on 1. This is an example of a straight bet, a bet on a single number. The bet pays \(35:1\).
2. Bet on 1, 2. This is an example of a split bet, a bet on 2 numbers. The bet pays \(17:1\).
3. Bet on 1, 2, 3. This is an example of a row bet, a bet on 3 numbers. The bet pays \(11:1\).
4. Bet on 1, 2, 4, 5. This is an example of a square bet, a bet on 4 numbers. The bet pays \(8:1\).
5. Bet on 0, 00, 1, 2, 3. This is the basket bet, the only bet on 5 numbers. The bet pays \(6: 1\).
6. Bet on 1-6. This is an example of a two-row bet, a bet on 6 numbers. The bet pays \(5:1\).
7. Bet on 1-12. This is an example of a 12-number bet, and pays \(2:1\).
8. Bet on 1-18. This is an example of an 18-number bet, and pays \(1:1\).

Random variable \(X\) denotes the outcome of the experiment aand random variable \(W\) gives the net winnings for the chosen bet.