22. Given a group of students: G=(Allen, Brenda, Chad, Dorothy, Eric) or G=(A, B
ID: 3436018 • Letter: 2
Question
22. Given a group of students: G=(Allen, Brenda, Chad, Dorothy, Eric) or G=(A, B, C, D, E), count the different ways of choosing the following officers or representatives for student congress. Assume that no one can hold more than one office. A treasurer and a secretary if two must not be the same sex.
A) 6 B) 12 C) 3 D) 10
23. Find the probability. If 81% of scheduled fights actually take place and cancellations are independent events, what is the probability that 3 separate flights will all take place?
A) 0.81 B) 0.53 C) 0.01 D) 0.66
Explanation / Answer
22.
In the Group G={A, B, C, D, E}, the male ones are {A, C and E} and the female ones are {B, and D}.
Since the number of cases are very small here I will write all the possible cases of selecting a secretary and a treasurer given that both posts should contain people from different sex.
Secretary
Treasurer
A
B
A
D
C
B
C
D
E
B
E
D
B
A
B
C
B
E
D
A
D
C
D
E
Since there are a total of 12 possible cases , B is the correct option.
23.
Assuming each flight is independent of each other,
P(3 flights takes place ) = 0.81*0.81*0.81 = 0.53
Thus option B is correct.
Secretary
Treasurer
A
B
A
D
C
B
C
D
E
B
E
D
B
A
B
C
B
E
D
A
D
C
D
E
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