00:01
The question says we're going to have a mathematics department that has 10 men in it and eight women in it.
00:07
So we have 10 men, eight women.
00:10
And we're going to pick six.
00:13
Six are going to be chosen to do some form of committee.
00:18
So the question says, what's the probability that we choose four women, sorry, four men and two women? so we have a total of 18 people we can choose, and we're going to choose six of them.
00:35
And then out of the 10 men we need to choose four and we need to take two women out of the eight okay and that's going to be our probability so you take our calculator i can take my probability and ask you to do a combination whoops yes did okay so i want to do first of all 10 choose four because that's the men and then i want to do the same thing except it's with the women now so i'm taking eight women and i'm choosing two of those and then i'm dividing that by 18 choose six i'm taking 210 times 28 and then dividing that by 18 ,564 and that's going to give you my answer and it's about 0 .1367 okay then the question says what is the probability that you are going to have two or fewer women.
01:46
So let's look at two or fewer means the probability of no women plus the probability of one woman plus the probability of two women.
01:56
Okay, now we already know the probability of two women because we just found it.
02:01
So let's look at the problem is going to be 10 to 6 over 18...