00:01
In this problem, we have been given a table, which is shown over here.
00:04
Now, this table is the drinking habits of a group of college students.
00:08
A student is chosen at random.
00:10
We need to find the probability of getting someone who is a man or a woman.
00:16
Here we consider m to be the event that the student is a man, w to be the event that the student is a woman, and union represents or, so this is what we get.
00:25
Now, note that the events m and w are mutually exclusive, that is, they cannot happen together.
00:31
This is because a certain student cannot be a man and a woman at the same time.
00:35
So they are mutually exclusive and so we can use the addition law of probability for mutually exclusive events.
00:41
According to that, this will be equal to p of m plus p of w.
00:45
So p of m will be the number of favorable outcomes divided by the total number of outcomes...