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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.
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.
Full Transcript
- 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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