Posted by **mandeep** on Tuesday, November 27, 2012 at 7:30am.

A committee of two persons is selected from two men and two women.

Find the probability that the committee will have at least one man.

- Probability-plse -
**Reiny**, Tuesday, November 27, 2012 at 9:23am
total number of choices

= C(4,2) = 6

number of ways to pick 2 women

= C(2,2) = 1

number of ways with at least 1 man

= 1 - 1/6

= 5/6

Proof:

let the women be A, and B

let the men be C and D

choices

AB AC AD

BC BD

CD

of those 5 cases contain A or B

only one does not contain either an A or a B

My answer is correct

## Answer This Question

## Related Questions

- MATHS - A committee of two persons is selected from two men and two women. Find ...
- statistics - A committee consists of five men and four women. Two people are ...
- Maths - From a group of 10 people, 5 men and 5 women, six are to be chosen to ...
- statistics - A committee of 4 person is to be appointed from 7 men and 3 women...
- statistics - A committee of 4 person is to be appointed from 7 men and 3 women...
- algebra - A 4-person leadership committee is randomly chosen from a group of 24 ...
- math - a committee of 5 people is to be selected from a group of 6 men and 9 ...
- maths - .A committee of 6 is to be selected from a group of 6 men and 9 women. ...
- math - A committee of 4 is chosen from a group of 10 women and 6 men. Determine ...
- PACT - A committee of 4 must be chosen from 3 women and 4 men.calculate 1. In ...

More Related Questions