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.

So chart state 0 includes the following parse states

And the sentences are P or not P, P and not P,

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

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.

It's that grammar of balanced parentheses.

Let's say that this is our grammar

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

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

F, L, E, P, T, P L, E, P, F, L, F, L, E, P, T, P, L, F, E, T.

APPLE.

Now in probability terms, people often write it as follows

Let me just do this over here.

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

So that cancels out.

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

Another way to think about that is let's say that we're in a particular state like this one

The ri...

You were pretty out of it.

That's my Billy boy! What up, Larry?

P of A given B where B is the evidence and A is the variable we care about is P of B given A times P of A over P of B.

P

p.

What's next?

P .

P ... P ...?

Teacup!

Similarly, over here I'm going to apply rule one three times.

P...

Now divide both sides by 1 plus i.

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.

You're J. P. Prewitt.

All right. E, F, L, E, P, T P, L, E, P, F, L, E L, E, P, T, L, P, E, F, E, T, Z, E, T...

So it's going to be p squared.

My daughter was premature.

The time is ripe for action.

This is a statue from Oxford.

I think the time is almost right.

Valid.

You can actually compute this using total probability where P(Y) equals P(Y_BAR_X) times P(X) plus P(Y_BAR_ X) times (P X).

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

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

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

Now let's add that pink p to both sides of this equation.

And right here, this environment is called PyScripter.