If you do n is equal to 3, you're going to get that the

Now, you might be tempted to say What about the probability of X given not Y?

Now if we solve for p, you can now swap the sides.

So it equals f prime prime of 0.

What is y divided by x gonna be equal to ?

So, we need that less than 2 and that is going to be equal to p(x 0) p(x 1).

And then this term over here, this whole thing over here, is going to be plus p times 1 is p. p times negative 2p is negative 2p squared.

Once again, based on this P, I'm going to start bringing in rules 1 and 2.

And if you want to factor a p out of this, this is going to be equal to p times, if you take p divided p you get a 1, p square divided by p is p.

Or if you divide both sides by 1 plus i, you get p over 1 plus i is equal to l.

So just like that, we were able to figure out our actual mortgage payment.

So that cancels out.

So this is going to be equal to 1 minus p.

Rule 0 and rule 1 both apply to S, so I'm going to yield 2 things.

But if you just pick a simple a is equal to 1, than what's b equal to?

In these other examples we were picking 30 percent, but now we can say it's p, it's the percentage off.

So we could say in general the loan amount, if we now generalize it to n instead of and n equals a number, we could say that it's equal to I'll actually take the p out of the equation, so it's equal to p, times 1 plus 1 over 1 plus i plus 1 over 1 plus i squared plus, and you just keep doing this n times, plus 1 over 1 plus i to the n.

So, to get all 3 of them together, we just multiply these by 3.

P of X3 given X1 is the sum of P of X3 given X1 and A times P of A given X1 plus the A complement, which is X3, conditional X1 and not A times P of not A given X1.

It's that grammar of balanced parentheses.

Now we can simplify these. p to the third cancels out with p to the third.

And you say OK, this has to be equal to 0, or that has to be equal to 0.

This one will be number 11.

Or, you could view it as the bound x is equal to the square root of y.

Here we create a new list called q, which is an empty list. There's nothing there.

The first one looks pretty good. I just apply rule 1.

Male narrator Here are the answers.

And then when you add p squared to negative 2p squared you're left with negative p squared minus p squared.

All right, the coefficient in front of the x squared term is equal to a 1.

So if d1 is equal to d2, and that equals 2a, then we know that this has to be equal to a.

That is 9 times 8.

What's ten times six?

Well, that's just going to be 74.

We could say f of...

And then I'll leave this 109 on the right hand side.

Add 2 to both sides of this, you get y is equal to 7.

The only time where it has any area is right under c.

Minus two squared is four, minus twelve six times minus two plus eight.

That's not a zero.

That's one one, plus another one, plus another one.

What does that equal?

So we start off with 5 plus 9.

And of course, 4 times 2, that part over there,

Yeah, it works.

Let's say n is equal to the number of months that we're dealing with.