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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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CAHSEE Math 6.2 Statistics, Data, and Probability I 193 Views
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Description:
Statistics, Data, and Probability I: Drill Set 6, Problem 2. What is the probability of the spinner landing on white on the next spin?
Transcript
- 00:03
Here's a shmoopy question for you...
- 00:06
Bonnie has the hardest time picking out a
- 00:08
color for her fingernails each week...
- 00:10
...so she uses a fair spinner to make all
- 00:12
her decisions for her.
Full Transcript
- 00:14
Her spinner has landed on either the red or
- 00:17
blue regions on each of its last ten spins.
- 00:20
Her fingers are starting to get so bored.
- 00:22
What is the probability of the spinner landing on white on the next spin?
- 00:27
And here are the potential answers:
- 00:32
OK, seriously? Like... if it were a full moon
- 00:35
AND the groundhog saw its shadow, would that change the outcome of the next spin of the
- 00:39
wheel?
- 00:40
First of all, we have to wonder what the groundhog was doing out so late anyway.
- 00:44
Has it not heard of "curfew?"
- 00:48
This is purely a question about dependence
- 00:50
-- that is, any and every spin is independent of every other.
- 00:56
It doesn't matter what the last 982 spins were, assuming that the spinner was indeed
- 01:01
fair and not jimmied to mess with true random chance.
- 01:04
So the answer is 1 in 4 -- just as in any other spin.
- 01:07
Our answer is C.
- 01:09
Unfortunately, Bonnie rolls red yet again.
- 01:12
And even more unfortunately, she can't figure out where her red fingernail polish went...
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