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CAHSEE Math 6.2 Statistics, Data, and Probability I 192 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?

Language:
English Language

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.

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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