We see chart position 0, chart position 1, chart position 2.

It's that grammar of balanced parentheses.

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.

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.

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,

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

APPLE.

And there's the first little cam that drove Furby.

Now in probability terms, people often write it as follows

Armed with this number, the rest now becomes easy, which is we can use Bayes' rule to turn this around.

That seemed promising.

Let me just do this over here.

So chart state 0 includes the following parse states

I had a Caesarian section six months ago.

The trial tomorrow is not about the law, it's about politics.

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

Life was good.

We observe the conditional independence of R and S to simplify this to just P of R, and the denominator is expanded by folding in R and not R,

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...

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.

We have an audition at 7 30 this evening.

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...

Valid.

Pplus goes to P followed by pplus this recursive rewrite rule

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).

I broke some bones in my feet.

We could have let y is equal to force and m is equal to... or mass is equal to p.

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

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

And so we have set about doing that.

And, truly, we were absolutely blown away.

These are some of the numbers.