00:01
In the given question we are told that giving a test to a group of students, the gender, the grades and genders are summarized below and it is summarized as follows.
00:18
So let's, we have a table and in this table we have a, b and c.
00:27
We have male female and we have the total so the grades are a b and c and the genders are given over here as well and we have a separate row for calculating the totals so there is a total column over here and a row also so the data that we have is let's see it is 315 1634 3151634 315 1634 315 1534 next row it is 9 5 to 16 19 to 16 and the next row is 1220 1850 15 20 1850 now we are asked if us if one student is chosen at random find the probability that the students the student was male or got an a so if one student one student is chosen at random at random we should find the probability that the student was the student is a male is a male or got an a grade so this is what we have to find from the given data so what we could do over here is we could first right the probability that let's see that how many males are there right so the number of males that have got let's write over here males that have got a is how much it is three three males have got a and this is out of what? it is out of, it is out of, let's say, out of 34 men, right? so now, next we can write.
03:29
So the total number of males, total number of, males is 34 it is 34 and the males who have got a is 3 and also the total number of students who got a grand total is 12 it is 12 it is 12 right that is 12 people got the grade a so what we are going to find over here is a probability of the form probability of a union b and there is a formula for this which is p of a plus p of b b minus p of a intersection b so this this is a formula that we are going to use over here in order to solve this question.
04:48
So first what we have over here is to find the probability that the student is a male or got an a grade.
04:57
So first we should find the probability of a student being a male...