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CAHSEE Math 4.4 Statistics, Data, and Probability I 184 Views


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Description:

Statistics, Data, and Probability I: Drill Set 4, Problem 4. What is the probability of spinning the spinner once and getting a vowel or the letter T?

Language:
English Language

Transcript

00:03

Here's a shmoopy question for you...

00:05

Suppose the spinner shown below is fair, meaning

00:08

that each of the little pie slice shaped thingies have an equal chance of being landed upon.

00:13

Bethany's friends can't find the Twister board, so they're forced to use this thing.

00:17

What is the probability of her spinning the spinner once and getting a vowel or the letter T?

00:23

If she's successful, she'll get to put her foot right up against Greg's foot,

00:27

which would be just about the best thing ever.

00:30

Here are the potential answers:

00:34

OK, so what is this question asking?

00:36

Well, first, whether we can read something resembling a pie chart.

00:40

Second, the question is testing whether we understand how the word "OR" works in

00:43

these probability style questions.

00:46

When we have "OR", we ...ADD... meaning that the stuff before the OR and the stuff

00:51

after it get summed when we figure out the total probability quotient.

00:56

That is... if EITHER of the things on either side of the OR sign happen,

01:01

then we positively count the numbers involved.

01:04

So in this case, the first part -- before the OR -- is asking for the odds of spinning a vowel...

01:10

This part is pretty straightforward -- we can count 1 2 3 4 5 6 7 8 letters total...

01:15

and here are the vowels -- A and E...

01:18

...those are vowels and there are 2 of them.

01:21

So the odds of spinning a vowel on the first spin are... 2 out of 8.

01:26

But then the second part of the question adds the "OR ROLL A T" --

01:30

and there are 3 T's -- so we just... add.

01:34

Two vowels plus 3 T's and we get 5 potential YAY outcomes out of a total of 8.

01:40

And the answer is C.

01:41

Holla... Bethany gets the spin she was hoping for and is now getting close and personal with her crush.

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