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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...
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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