In a population, 55% are male and the rest are female. In...

In a population, 55% are male and the rest are female. In response to a specific question, 35% of the males answer yes and the rest answer no. In response to the same question, 65% of the females answer yes and the rest answer no. Use this information to fill in the probabilities in the tree diagram shown. Enter the exact answers. U = V = W = X = Y = Z = Male U Yes W No Yes Female V No Z

Transcript

00:01 So we're looking at a probability question that has to do with people who answered a certain question, yes or no, and whether or not they were male or not.

00:10 So things that we know, we can set up a quick diagram to help us organize this work, which is i really strongly recommend for any kind of problem like this.

00:22 The first thing is we know that this question is either yes or no.

00:27 Those are the only two options.

00:28 So we want to organize all of our answers into this sort of framework.

00:34 The other thing we know is that they're being categorized, it looks like, by gender, birth gender.

00:40 So there's males, and then we'll call it female, but it really is, it's like not male, right? anyone other than male.

00:49 And so let's fill in what we know.

00:52 It says, of the 57 people who answered yes.

00:55 So down here is like total.

00:58 And then this would also be total.

01:01 So there's 57 people who said yes.

01:05 18, actually, let me do this in a different color, just so you can see it really well.

01:11 We'll do it in blue.

01:14 Sorry, 57 said yes.

01:18 And 18 of those were male.

01:21 Doing some quick math, 57 minus 18 leaves you with 39.

01:26 So 39 were not male.

01:29 And then for the people who answered, no.

01:30 It said 61 people answered no.

01:34 15 were male.

01:34 So the number of people who were not male who answered this question would then have to be 46...

Question

Please give Ace some feedback