statistics
posted by justin .
two spot available and there is 6 men and 4 women what is the probability that a women will be picked?

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
Respond to this Question
Similar Questions

Probability
This is an example question, but I'm not sure how my instructor came up with the answer. Could anyone explain in detail please. Among the contestants in a competition are 49 women and 29 men. If 5 winners are randomly selected, what … 
math
from a group of women and 4 men, determine in how many ways a committee of people can be selected with no restrictions? 
statistics
the participants in a television quiz show are picked from a large pool of applicants with approximately equal number of men and women.Among the last 11 participant there have been only 2 women.If participants are picked randomly,what … 
statistics
a computer teacher has 20 students 8 who are women and 12 are men. her other class has 30 people how many must be women so that both classes have the same ratio of women to men 
elementary stats
the participants in a television quiz show are picked from a large pool of applicants with approximately equal number of men and women.Among the last 11 participant there have been only 2 women.If participants are picked randomly,what … 
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? 
Statistics
A group of 30 people consists of 15 children, 10 men, and 5 women. Tom and Jerry are two of the men in the group. Five people are picked at random without replacement. 2A  Find the chance the first person picked is a man, given that … 
statistics
participant on tv show picke from lage # applicants with equal number of men and woman .amongst the last 9 participant 7 have been women . if they are picked randomly what is the probability of geting 7 more women when 9 people are … 
Math probability
Lottery tickets are held by 56 men and 84 women. An equal percentage of men and women are older than 55. If there are 8 men over 55, what is the probability that the lottery winner will be either man of any age or a women over 55 years … 
Maths
A commitee consists of six men and four women.A randomly chosen subcommittee is made up of three of the committee members.What is the probability that (a) they are all women (b) two of them are men