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SAT Math 1.3 Statistics and Probability. Approximately what is the probability that they will be placed in alphabetical order?
SAT Math 1.4 Statistics and Probability. If two standard 6-sided dice are rolled, what is the probability that the sum of the dice will be gre...
SAT Math 1.5 Statistics and Probability. If Silas draws one card, then places it in his pocket and draws another, what is the probability that...
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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