# CAHSEE Math 4.2 Statistics, Data, and Probability I

Statistics, Data, and Probability I: Drill Set 4, Problem 2. On the upcoming spin, what is the probability of obtaining either a vowel or an even number?

 CAHSEE Math Statistics, Data, and Probability I Language English Language Matrices Matrix Operations Statistics and Probability Probability Statistics, Data Analysis, and Probability 6 Probability

### Transcript

00:18

to school on Monday... Jason or his sister.

00:22

The possible outcomes are shown in the table below.

00:24

On this upcoming spin, what is the probability of obtaining either a vowel or an even number?

00:31

Jason will need one or the other, or he might as well start shining his big fat shoes...

00:37

And here are the potential answers:

00:42

OK, so this is another spin question.

00:45

We have a 2 by 2 table with numbers on the vertical column and letters on the horizontal row.

00:50

When we spin the two spinners,

00:52

we're going to get 1 thing from the y axis and 1 thing from the x.

00:57

And note that there are TWO spins as well -- the first will choose from the letters

01:01

and asks what the odds are if we get a vowel.

01:04

Well, out of A, B, C, D, and E... ...A and E are vowels.

01:08

Then you have the 2nd spin, which is asking for the odds of spinning an even number.

01:12

Well, out of the numbers 1, 2, 3, 4, and 5, there are only 2 even numbers --

01:17

yep 2 and 4.

01:18

The question is asking us to find the probability

01:21

of obtaining either a vowel or an even number...

01:24

...which means we can just count any combination

01:26

that includes at least one of the following: an A, E, 2, or 4.

01:32

If we count up the first two columns, and the second and fourth row, we get 16 possibilities

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out of a total of 25... so the answer is C.

01:41

Despite having better than average odds, Jason

01:43

fails to spin one of the desired results... ...and he's going to have to pay the price.