00:01
In this question, we're given five applicants, a, b, z, d and e applying for two jobs.
00:07
Where the males are ab, females are cda.
00:12
Now, two applicants are randomly selected to fill the two different jobs.
00:17
So each candidate is equally likely to be selected.
00:20
In part a, i want to list all possible combinations of the five applicants for the two jobs.
00:26
So i'm going to let s be the sample space for this.
00:30
So we can either choose a to be in the first job and b to be in the second job, or we can choose ac or ad or ae, or b, that is b is chosen to feel the first job and a is chosen to feel the second job.
00:52
Now, these two are different because the order of selecting that is important because the two jobs are different.
00:59
And we can have bc, bd, b -e, or c -a, c -b, c -b, c -d, c -e, or d -a -d -d, d -c or d -c or de, or e -a, e -b.
01:27
So take note that the number of possible outcomes in the sample base as will be 20.
01:39
In b, we want to find the probability of event e1, where e1 is the collection of outcomes, where the successful job applicants include at least one male.
01:53
So probability of event e1 would be taking the number of possible outcomes in the event e1, divided by a number of possible outcomes in the sample space...