7)- 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: 3 15 19 12 14 16 18 Red 19 21 23 25 27 30 32 34 36 2 14 6 8 10 11 13 15 17 Black 20 22 24 26 28 29 31 33 35 00 lo Green 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. 00 and O are not considered neither odd nor even. Consider the following events: 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) AUB b) Anc c) BUC d) B' e) An BnC

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Chapter1: Combinatorial Analysis
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Please solve question 7. A,B, C, a,b,c,d,and e. Thank you.
7)- 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:
3
15
7
19
12
14
16
18
Red
19
21
23
25
27
30
32
34
36
2
4
6
18
10
11
13
15
17
Black
20
22
24
26
28
29
31
33
35
00
Green
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. 00 and 0 are not
considered neither odd nor even. Consider the following events:
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) AUB
b) AnC
c) BUC
d) B'
e) An BnC
Transcribed Image Text:7)- 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: 3 15 7 19 12 14 16 18 Red 19 21 23 25 27 30 32 34 36 2 4 6 18 10 11 13 15 17 Black 20 22 24 26 28 29 31 33 35 00 Green 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. 00 and 0 are not considered neither odd nor even. Consider the following events: 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) AUB b) AnC c) BUC d) B' e) An BnC
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