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Probability Videos 45 videos

Geometric Probability
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Unfortunately, we cannot use geometric probability to determine the chances of you enjoying this video; it can only be used with shapes. Unless you...

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Geometric Probability 3400 Views


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Description:

Unfortunately, we cannot use geometric probability to determine the chances of you enjoying this video; it can only be used with shapes. Unless you’re a rhombus, in which case, we hope you like it.

Language:
English Language

Transcript

00:04

Geometric Probability, a la Shmoop. Your friends are great, but…

00:08

… they’re really bad at remembering your birthday.

00:14

This year, all they did was order pizza at the last second…

00:16

…and cut paper into birthday hats.

00:18

A weak attempt, if you ask us.

00:20

They also organized a little game of “pin the pepperoni on the pizza.”

00:23

Nice save, guys. They were suddenly inspired after a quarter

00:27

of the pizza had been eaten.

00:28

You start a-wonderin’…

00:29

…what are the chances of successfully pinning a pepperoni to a place where there is actually

00:34

pizza? Welcome to Geometric Probability.

00:37

It’s even more fun than your birthday party.

00:39

Which isn’t saying much. Let’s assume that all pepperonis will be

00:47

placed somewhere within the circular space that the full pizza originally occupied.

00:51

So none of this business: --> If we know that each slice of pep will wind

00:56

up in a specific area…

00:57

…we can determine what the odds are that it will find its way home to the mother crust…

01:01

…and not wind up in Grease Stain City. In this case, the math is simple.

01:06

One quarter of the pizza has been consumed…

01:08

…which leaves exactly three-quarters of the pizza still to be eaten.

01:12

Or rather… to be used as your game board. So there is a 75 percent chance that each

01:17

pepperoni will land on a portion of the pizza that is still intact…

01:21

…assuming that we give the pizza a good spin first to discourage cheating.

01:25

So, while your friends’ gift of pizza was a tad underwhelming…

01:29

…they unknowingly gave you the greatest gift of all.

01:33

The opportunity to perform Geometric Probability.

01:36

Man. You are really easy to please.

01:39

Happy birthday, sucker.

01:40

Blurb: Unfortunately, we cannot use Geometric Probability

01:43

to determine the chances you will enjoy this video, as it can only be used with shapes.

01:43

So, unless you’re a rhombus… well, we hope you like it.

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