Posted by **justin** on Friday, March 22, 2013 at 10:19pm.

two spot available and there is 6 men and 4 women what is the probability that a women will be picked?

- statistics -
**Reiny**, Friday, March 22, 2013 at 11:44pm
number with no restriction = C(10,2) = 45

your question is ambigous, does it mean

one woman only or at least two women ?

If two women were selected, then " a woman was picked" is a true statement.

I will give both solutions:

what we don't want is all men

that would be C(6,2) = 15

prob all men = 15/45 = 1/3

so the prob of at least one woman is 1 - 1/3 = 2/3

if you want exactly one woman

number of ways = C(6,1) x C(4,1) = 24

prob of exactly one woman = 24/45 = 8/15

## Answer This Question

## Related Questions

- statistics - the participants in a television quiz show are picked from a large ...
- elementary stats - the participants in a television quiz show are picked from a ...
- statistics - participant on tv show picke from lage # applicants with equal ...
- Statistics - A group of 30 people consists of 15 children, 10 men, and 5 women. ...
- math - In a group of 7 men and 8 women, how many committees of 5 can be selected...
- Math probability - Lottery tickets are held by 56 men and 84 women. An equal ...
- statistics - a computer teacher has 20 students 8 who are women and 12 are men. ...
- Probability - This is an example question, but I'm not sure how my instructor ...
- math - from a group of women and 4 men, determine in how many ways a committee ...
- statistics - you have requirement that men must be at least 74 in tall and women...

More Related Questions