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Poor Batman. Basic probability is making his life harder. Just when he's gotten the Penguin locked up and the Riddler off the streets, math has to rear its ugly head.

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Transcript

00:00

Basic Probability, a la Shmoop. The Joker has heard about Two-Face's infamous

00:12

coin flip... ...and has decided to incorporate a little

00:15

chance into his criminal activity. He has the perfect plan - he'll use a deck

00:19

of cards, and if he draws a spade - evil wins!

00:22

However, the Joker is less than impressed with the destruction and chaos he has been

00:26

causing since he switched to Geico... ...er... a system based on probability.

00:32

For a super villain, being nice isn't exactly easy...

00:35

...and the Joker has been losing a lot of sleep wondering where he went wrong.

00:40

Two-Face has been getting all the headlines. What's a villain to do?

00:45

The answer is to think about probability. Probability is the study of outcomes.

00:52

For example, one outcome is that we'll go to Chipotle in the next two days.

00:55

Another outcome is that we won't. However, given our penchant for eating burritos...

01:01

...the probability may be higher than average for us here at Shmoop.

01:05

But let's look at some real numbers. The most important equation in basic probability

01:09

is: The number of favorable or wanted outcomes...

01:13

...divided by... ...the number of outcomes that are possible.

01:17

So, if we go back to our coin-flipping vs. deck of cards situation...

01:21

...we can start to see where the Joker went wrong.

01:24

When TwoFace flips a coin, he wants to get the side of the coin with the scratched head.

01:29

So, that's "one" in the numerator. And with the coin, there are only two possible

01:34

outcomes. The scratched side or the unscratched.

01:39

We see that this means the probability is one over two that he will be evil...or 50%.

01:45

However, for the Joker there are 13 spades in a deck, so we put 13 in the numerator.

01:51

And there are 52 possible cards he might choose...so we put 52 in the denominator.

01:56

Which means that the Joker only had a 25% chance of being villainous.

02:00

No wonder TwoFace has been taking more candy from babies.

02:05

Basic lesson for aspiring bad guys: Make sure you know your probability before

02:10

deciding on some kind of flashy trick.

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