00:01
All right, in your question, we were told we have a family of four children, and we want to figure out the probability that there are more boys than girls.
00:09
All right.
00:10
So the way i think would be best understood to approach this question would be to look at the possible outcomes where we would have more boys than girls.
00:19
And the only way that's possible with four children is if we have four boys or three boys.
00:27
Because once we hit two boys, that's the same amount that leaves the other children.
00:31
Two girls and that's not what we're looking for.
00:35
So if i list them out, there is one way we could have four boys.
00:43
And there are a couple different ways we can have three boys.
00:48
We can have boy, boy, boy, boy, then girl, boy, boy, girl, then boy, boy, boy, boy, and girl, boy, boy.
01:04
Now if you do it this way, what we have to consider is how many possible outcomes, because we figured out how many are favorable.
01:12
This is what we're looking for.
01:15
And that would be five outcomes out of.
01:18
But now i'd have to keep going with this process and figure out how many total arrangements there are for births.
01:27
So let's look at boy and two girls.
01:31
Boy, boy, girl, girl.
01:35
Boy, girl, boy, girl, girl, girl, boy, boy, girl.
01:47
And you see, i'm just kind of systematically approaching this question.
01:54
And there's going to be a lot.
01:55
There's going to be a lot here.
01:58
I can keep going, but as you can see, it's going to be a lot to keep track of.
02:02
So is there a better way we can figure out how many possible outcomes there are? yes, there is...