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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...
Elementary Probability 558 Views
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Description:
It’s time for the annual Dynamite and Explosives Conference, where we'll learn about elementary probability with Max Goboom. Max decided to rig all of the prime number tables with explosives. Solve the example problem to figure out the probability of a random guest sitting at a booby-trapped table. We have a feeling you're going to do a dynamite job.
Transcript
- 00:05
Elementary Probability, a la Shmoop. It's time for the annual Dynamite and Explosives
- 00:11
Conference. Since it started ten years ago, this thing
- 00:14
has really... blown up. Max Goboom <<Go-Boom>> is the event coordinator
- 00:18
in charge of organizing the conference. Because of the explosive personalities involved,
- 00:24
he must carefully lay out seating charts or risk <batman style> ka-blam!
Full Transcript
- 00:28
He has arranged all 36 square tables in a 6 by 6 formation.
- 00:34
As an added treat, he has rigged all prime numbered tables to detonate at the flip of
- 00:39
a switch. Oh, that joker.
- 00:50
What are the chances that any random attendee... ...may wind up with chunks of wood in their
- 00:55
chicken caesar? Here are your choices:
- 01:07
Really no way to solve this one other than to count the prime numbers.
- 01:11
So... look for numbers that are not divisible by anything other than 1 and themselves.
- 01:15
We get, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31...
- 01:30
Did you count 11 of them? So did we. Now take 11 and divide it by the total number
- 01:43
of tables: 36. Convert to a percentage by moving the decimal
- 01:50
two places to the right and adding a percent sign.
- 01:54
...Answer "C" it is. So each attendee has a 30 point 6 percent chance of getting a booby-trapped
- 02:04
table. Max's ill-advised surprise created quite a
- 02:07
mess... ...but at least no one was hurt.
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