00:01
Alright, so for this problem we're setting up our venn diagram.
00:03
To begin, we know that the total number of students in our overall sample space, n of omega, is equal to 50.
00:12
Then we know that we have basketball and football as the two sports in consideration, so we'll label those as b and f.
00:26
Let's see here, then for part a we're asked how many students play neither basketball nor football.
00:33
So that is neither.
00:34
The way that we can figure this out is, well, we know that we have 50 students overall.
00:43
We know that there are a total of 30 students who play basketball.
00:48
There are a total of 25 students who play football.
00:55
And in addition, we can figure out how many play basketball without playing football by taking the number of students who play basketball minus the number of students who play both sports.
01:08
So that means that we have 15 students who play just basketball.
01:12
We know that there are 15 students who play both.
01:14
And if there are 25 students who play football, then that would mean that there are only 10 students who play football but not basketball...