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:

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}
Calculate the probabilities of the following events:

a. A ∪ B   b. A ∩ C   c. B ∪ C  d. B^c  e.  A ∩ B ∩ C

Transcribed Image Text:

Red: 3 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