We know it's 1 3 cup.

You coil it around so that you get 1s and 2s and 3s on the outside, like

Here they're going to be taking

Suppose we have a distribution over those cells such as this one

V by one, this is ones of three by one.

Let's see, 2 times a plus b is equal to so if a is 3 and this is 1, 2 times 3 is 6 plus 1 is 7, works.

I'm going to repeat this process all the way through.

So 10 3, so we might have 0, 1, 2, 3, 4.

And then it's going to be this row times this column.

Or you see here that X 3.

1, 2, 3... 1, 2, 3, 4, 5,

So what's y prime? y prime of our general solution is equal to 3 2 times c1 e to the 3 2 x, plus derivative of the inside 1 2 times c2 e to the 1 2 x.

And we would do just like before, we take the value from above, plus the two left ones.

And so what is that?

But isn't this interesting?

That's pretty easy.

Let's get rid of what we had from before.

And we would know exactly what that point is.

You and Stone have just figured out how to number the faces by dissecting a perfect specimen.

Carry the one.

So the first thing we wanna thing about is how many equal sections do we have here.

So what happens if we put 0 here?

Well, there's 15 coins and 5 of them are fair, so it's 5 out of 15, so it's 1 3.

Here is our first regular expression.

So let's just write them down in order again.

So 1 plus 1 plus 1 plus 1 plus 1 plus 1 (let's see... that's 1, 2, 3, 4, 5, 6) plus 1 plus 1 is equal to 8.

That's right.

And same thing for 3.

Still not that great, but it will serve our purposes.

This is equal to 645, and then we have our six zeroes.

Well, it's going to be 3 of the 15 sections.

So, 3 times 1 8, because it's 1 4 times 1 2 would be the probability, so 3 times 1 8 6 times 1 8 5 times 3 8 4 times 3 8, and that works out to 4.5.

And we multiple the conditional for each word into this.

Now, you put 3 ice cubes from the blue tray into your drink.

Let's do apples now I'm bored of the lemons.

Two plus one is three.

However, what if I want to do this 2 3 first?

If you have the minus 4 situation, then x is equal to minus 3.

So it's 3 times negative 1 I'm just going to write it all

So we're going to divide by 3.

1 3 3 1 and you're left with one X so you are left with X 9 1 3, or you can do 9 divided by 3, which is equal to 3.

We get 0.148. This is the largest number so far.

Let's see.

And then let me graph negative three, negative three.

There's only two natural numbers that are divisible into 3 1 and 3.