Algebra

posted by .

From a group of 6 men and 4 women, a committee of 3 is to be selected at random. Find P(at least 2 women).

It might be a little out of order but this is what I got.

C(10,2)
(10*9*8*7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1*2*1)
=45

C(6,2)
(6*5*4*3*2*1)/(2*1)
=360

C(4,2)
(4*3*2*1)/(2*1
=12

360*12 = 4320

s/s+f
4320/4320+45
4320/4365

• Algebra -

P(at least 2 women)=
P(exactly 2 women)+P(exactly 3 women)=
{(6!/(1!*5!))*(4!/(2!*2!))+
(4!/(3!*1!)}/{10!/(3!*7!)}=
40/120=1/3

Similar Questions

1. math

from a group of women and 4 men, determine in how many ways a committee of people can be selected with no restrictions?
2. gr12 math

froma group of 6 ladies and 4 men, determine in how many ways a committee of 4 people cxan be selected. a. with no restirctions b. 4 women c. 3 women and 1 men d. 2 women and 2 men e. 4 men
3. math

A committee of 4 is chosen from a group of 10 women and 6 men. Determine the probability that at least 2 women are on the committee. Please show your work.
4. math

a committee of 5 people is to be selected from a group of 6 men and 9 women. If the selection is made randomly, what is the probability that the committee consists of 3 men and 2 women?
5. statistics permutations and combinations

Selecting a committee: There are 7 women and 5 men in a department. How many ways can a committee of 4 be selected if there must be at least 2 women?
6. math

In a group of 7 men and 8 women, how many committees of 5 can be selected for which there are 2 men and 3 women?
7. math prob

A committee of 5 people is selected from a group of 7 men and 9 women. In how many ways can the committee be selected so it contains at least 1 woman?
8. maths

.A committee of 6 is to be selected from a group of 6 men and 9 women. If the selection is made randomly, what is the probability that the committee consists of 2 men and 3 women?
9. statistics

there are 8 women and 6 men in a department. How many ways can a committee of 4 people be selected if there must be at least two women on the committee?
10. math

there are 8 women and 6 men in a department. how many ways can a committee of 4 people be selected if there must be at least two women on the committee?

More Similar Questions