Let's do a couple of excercises from our probability one module. We have a bag with nine red marbles, two blue marbles, and three green marbles in it.

One, two, three, four, five, six, seven, eight, nine red marbles. That looks some kind of orangesh but does the job. Two blue marbles.

Yeah. I need rug marbles. I know.

So two of them satisfy your criteria.

Now, one thing I will let you think about is

So we have one, two red marbles, assuming they're all mixed in there.

And Leibniz was the first person to really talk about building such a machine.

The bag is not transparent

(Applause)

So first of all, what's the probability that the first marble you pick is green?

And he literally sticks them into the empty bag

Now you have one less marble in the bag and we're assuming that the first pick was green

Three of them satisfy your conditions.

Three of them would be a yellow marble.

Then you can pretend they're marbles and you're a hungry, hungry... hungry hippo.

We have one, two, three yellow marbles.

Now look inside the blueberry, and blow it up to the size of a football stadium, and now the nucleus is a marble in the middle.

So let me draw them.

And remember our constraint is selecting a non blue marble from the bag.

I would go and get my one, two, three octopuses and I would put them on a plank, in front of my house, and I would sell them because I needed money to buy marbles to play with my friends.

Play Galaga Game

Play Billard Game

Play a flight simulator

And you walk up to a table, and on that table there is an empty bag and the guy who runs the table says, Look, I've got some marbles here, three green marbles, two orange marbles, and I'm gonna stick them in the bag

We have two green marbles one, two green marbles.

We have two red marbles.

And then there's one blue marble.

Play a game of Pioneers

But essentially these are people that are playing with technology.

Well, the total possible outcomes

So there's a total number of eight balls.

Stop it, Skripach...

He talked about doing it with marbles, having gates and what we now call shift registers, where you shift the gates, drop the marbles down the tracks.

So let's just think about this bag a little bit.

Play a Space Invaders clone

Play Shufflepuck with Tux

Play NES ROMs

Feel around the marbles, all the marbles feel exactly the same

Then you're going to win the prize of

Seems like a pretty straight forward thing.

How many different possible marbles can we take out? There are one, two, three, four, five, six, seven, eight, nine , ten, eleven, twelve, thirteen, fourteen possible marbles.

Play an Arkanoid like game

You play with dolls?

Yeah, there's guns and glow lights, and kids wear the vests...

So the probability of picking a yellow marble is 3 8.