00:01
So in this question, we are given the following information, and we are asked to determine the probability that somebody is a male, or they have a degree in their field.
00:19
So we know that, using our addition rule, the way we can find the probability of the union of two events is equal to the probability of the first event, added to the probability of the second event, subtracted by the probability of their intersection.
00:39
Okay? and we know that this also boils down to just the rule for the union anyways, right? we know that if we want to find the union of two events, we just add together all the elements in both events, and then we subtract their intersection.
00:54
Okay? so let's get started on figuring this out, right? so what we need to do is that we need to find the number of elements that are either male or, like, you know, have the degree in their field.
01:07
So we know that the total number of males here is right here.
01:12
Right here, okay? 727 ,674, and then we define the probability or the number of people that have a degree in their field, right? it's going to be right here.
01:30
Okay? it's 273, 366, and then we have to subtract our intersection.
01:39
So it's obviously just going to be the intersection of this column and this row, and that's going to be right here...