It's hard?

... little tiny pieces.

They need a leader.

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

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.

You have been disarmed , baby.

Let's say that this is our grammar

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.

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

APPLE.

He's all in pieces.

25 scattered seats? Who's paying for them? Throughout the theater.

The castle's falling apart

Woulda been quite a mess.

Now in probability terms, people often write it as follows

Let me just do this over here.

This is standard full speed.

(Claps) (Laughter)

It was hard.

So chart state 0 includes the following parse states

So that cancels out.

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

Range some from privileged, some from poverty.

They will cut you into pieces.

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

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.

I'll take you apart and put you back together!

Their tearing us apart one by one.

not apart.

P

p.

What's next?

P .

P ... P ...?

Teacup!

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

P...

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.

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...

It's that grammar of balanced parentheses.

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).

So what is the second technique?

Let's pull this apart