Respuesta :
Answer:
The probability that all 4 selected are men committee consists of 13 members
[tex]P(E) = \frac{1}{143}[/tex]
Step-by-step explanation:
Step:1
An executive committee consists of 13 members
men + women = 5 +8 =13
A committee consists of 4 men's out of 13 members can be formed in 'n'
= [tex]13c_{4} ways[/tex]
= 715
Let 'E' be the event of selecting men
m = n(E) =[tex]5c_{4} ways[/tex] = 5
The probability that all 4 selected are men committee consists of 13 members
[tex]P(E) = \frac{n(E)}{n(S)}[/tex]
[tex]P(E) = \frac{5}{715}[/tex]
[tex]P(E) = \frac{1}{143}[/tex]
Answer:
0.0069 (method 1) ; 0.0067 (method 2)
Step-by-step explanation:
Probability is calculating the likelihood of an event.
Probability (4 members chosen out of 5 men & 8 women, are all men ):
[ 5C4 x 8C0 ] / [ 13C4]
= [ (5! / 4!) x (1) ]
[ 13! (4! . 9!) ]
5 / 715 = 0.0069
- Alternative method
Probability of choosing 1st man = 5/13
Probability of choosing 2nd man = 4/12
Probability of choosing 3rd man = 3/11
Probability of choosing 4th man = 2/ 10
5/13 x 4/12 x 3/11 x 2/10
0.38 x 0.33 x 0.27 x 0.2
= 0.0067
