00:01
In this problem, it is said that a test is given to a group of students and the grades and the genders are summarized in this given table.
00:11
Now, using this, if one student is chosen at random, we need to find the probability that the student was male or received a grade of a.
00:19
So let us consider that m is the event that the student is male, and let us consider a to be the event that the student received a grade of a.
00:28
So we need to find the probability of m union a.
00:33
That is the probability of being male or receiving a grade of a.
00:38
Now using the addition law of probability, this will be equal to p of m plus p of a minus p of m intersection a.
00:49
So consider p of m.
00:52
So that's the number of favorable outcomes divided by the total number of outcomes.
00:56
So p of m is the probability of being male.
00:59
We can see that the total number of males is 28.
01:02
So the number of favorable outcomes is 28.
01:05
And the total number of outcomes is the total number of students.
01:09
We can see that that is 64.
01:10
So we have 28 by 64.
01:13
With this we add p of a...