Stats 2
Stats 3
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AS/A2 Stats 2 Stats 3 |
| S1 Topic 3: Probability | |
| The roulette wheel experiment |   |
| The American roulette
wheel has 38 slots numbered 00, 0, and 1-36. Slots 00 and 0 are green. Half of
the slots numbered 1-36 are red and half are black. The experiment consists of
rolling a ball in a groove in the wheel; the ball eventually falls randomly
into one of the 38 slots. The roulette wheel is shown in the left graph panel;
the ball is shown on each update. One of seven different bets can be selected from the list box: On each update, the outcome X is shown graphically in the first panel and recorded numerically in the first table. Random variable W gives the net winnings for the chosen bet; this variable is recorded in the first table on each update. The density function and moments of W are shown in blue in the distribution graph and are recorded in the distribution table. On each update, the empirical density and moments of W are shown in red in the distribution graph and are recorded in the distribution table.
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An applet freely
available from