00:01
We have some information here about the students, and i'm going to display this in a venn diagram.
00:08
So we have two overlapping circles.
00:10
Demutors and business majors.
00:13
Both? neither.
00:16
So we start by filling out this venn diagram in the center, the overlap.
00:20
15 % are both, so they must be here.
00:24
Now, 30 % are business majors.
00:27
So this entire circle adds up to 30%.
00:29
We have 15 % accounted for, so this must be here.
00:32
Must be 15 % as well.
00:34
Business students, but not a commuter.
00:36
40 % are commuters.
00:39
So this bit must be 25%.
00:42
And finally, what about the people who are neither? well, we've got 55 % accounted for here.
00:49
That leaves 45 % neither.
00:53
Now let's fill out the answers.
00:56
Part a.
00:57
Probability that they are a commuter, but not a business measure.
01:01
If we pick one of them at random, we want the probability they are in this group here.
01:05
They are a commuter, but they are not in a business major circle.
01:08
So 25 % or 0 .25.
01:12
Part b, neither.
01:14
Well, that's the 45%.
01:17
See, not a business major.
01:20
So nobody in this circle is allowed, but these are fine.
01:24
That would be 70%...