So chart state 0 includes the following parse states

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.

It's that grammar of balanced parentheses.

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.

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).

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.

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.

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

APPLE.

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.

Now in probability terms, people often write it as follows

P of happiness given S and R times P of S and R, which is of course the product of those 2 because they are independent, plus P of happiness given not S R, probability of not as R plus P of H given S and not R times the probability of P of S and not R plus the last case,

Feared.

Male narrator Here are the answers.

So, of the 8 possible outcomes of the coin flips, those 3 are the ones you want to count.

So we said that this is equal to e to the r, so p times this is equal to p.

Let me just do this over here.

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.

So what I want you to do is tell me for each of these sentences, whether it is valid, satisfiable but not valid, or unsatisfiable, in other words, false for all models.

What?

Father, they are hunting for you.

What advice did you find for me there?

It is as I feared then.

So p times 1 minus p, which is a pretty neat, clean formula.

You have to add one more argument and you have to change the returned function to implement a formula just like this but this using p0, p1, p2 as arguments not just the fixed numerical numbers here.

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...

Even I forgot it. I'm not afraid of you. I was never afraid of you.

So that cancels out.

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

Are you afraid?

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

This one will be number 11.

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

Did you see that?

You're scared.

We are afraid.

All the adults knew the risks.

I don't fear you Jedi.

There's only a sensation in the body that has been labelled a sufferer,

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

You were afraid.

P

p.