Question:
What is the probability that the committee includes exactly 3 gentlemen?
What is the probability that the committee includes exactly 3 gentlemen?
Options:
- a) 10 33
- b) 30 77
- c) 100 231
- d) 5 11
- a) 10 33
- b) 30 77
- c) 100 231
- d) 5 11
correct answer : a)
Explanation:
n(S) = 11C6
n(E) = 7C3 × 4C3
P(E) =
7
3
4
3
11
6
CC
C
×
=
10
33
n(S) = 11C6
n(E) = 7C3 × 4C3
P(E) =
7
3
4
3
11
6
CC
C
×
=
10
33