In: Statistics and Probability
Outcomes in roulette. One game that is popular in many
American casinos is roulette. Roulette is played by spinning
a ball on a circular wheel that has been divided into
38 arcs of equal length; these bear the numbers 00, 0, 1,
2, . . . , 35, 36. The number on the arc at which the ball
comes to rest is the outcome of one play of the game. The
numbers are also colored in the following manner:
Red: 1 3 5 7 9 12 14 16 18
19 21 23 25 27 30 32 34 36
Black: 2 4 6 8 10 11 13 15 17
20 22 24 26 28 29 31 33 35
Green: 00 0
Players may place bets on the table in a variety of ways,
including bets on odd, even, red, black, low (1–18), and high
(19–36) outcomes. Consider the following events (00
and 0 are considered neither odd nor even):
A: {Outcome is an odd number}
B: {Outcome is a black number}
C: {Outcome is a high number}
Find:
a.P(A/B)
b.P(B/C)
c.P(C/A)