ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


CAHSEE Math Videos 210 videos

CAHSEE Math 5.3 Algebra and Functions
2033 Views

CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.

CAHSEE Math 1.1 Statistics, Data, and Probability I
406 Views

Statistics, Data, and Probability I: Drill Set 1, Problem 1. What is the mean yearly salary?

CAHSEE Math 1.2 Statistics, Data, and Probability I
198 Views

Statistics, Data, and Probability I: Drill Set 1, Problem 2. What is the median length of these writing utensils?

See All

CAHSEE Math 4.1 Statistics, Data, and Probability I 214 Views


Share It!


Description:

Statistics, Data, and Probability I: Drill Set 4, Problem 1. What is the probability of obtaining both a vowel and an odd number?

Language:
English Language

Transcript

00:03

Here's a boring, unshmoopy question you'll find on an exam somewhere in life...

00:07

Good luck with this one.

00:09

Two fair spinners, each separated into equal regions, one with the letters A through E

00:13

on it, and the other with numbers 1 through 5, are spun.

00:20

The possible outcomes are shown in the table below.

00:24

What is the probability of obtaining both a vowel and an odd number?

00:29

And here are the potential answers...

00:36

OK, what's this question asking?

00:38

Well, it's a matrix style question.

00:45

Matrix questions are common on exams and they all do more or less the same thing --

00:52

first one event must happen; then a second event happens.

00:58

We calculate the odds of BOTH or EITHER event happening.

01:02

In this case, the first CONDITION requires us to have a vowel.

01:07

If we look across the top layer we see that there are only 2 vowels there --

01:11

an A and an E.

01:13

So if we don't land on the A or the E... we're going to be outta luck.

01:17

Our first spin has a 2 out of 5 likelihood of hitting our mark.

01:26

Now for the second.

01:28

If we DO roll an A, what then are our odds of spinning an ODD number?

01:34

Well, there are 3 odd numbers... 1, 3 and 5.

01:36

So we have a 3 out of 5 shot at rolling 'em along with either an A or an E.

01:41

How do we get the totals? We just multiply.

01:43

So that's 2 over 5 for the vowel TIMES 3 over 5 for the odd number... and we get 6 over 25.

01:50

And if we really got stuck, we could just use the old brut force method...

01:55

...and just circle all the winners...

01:56

Here here here here here and here...

02:00

...putting those 6 in the numerator and putting the total number of possibilities --

02:03

25 -- in the denominator makes sense.

02:07

So our answer is D... six-twenty-fifths.

02:11

Now that you're a master spinner, you can really impress everyone else in your afternoon spin class.

Related Videos

CAHSEE Math 5.3 Algebra and Functions
2033 Views

CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.

Multiplying Matrices
1142 Views

Go forth and multiply... matrices.

Matrix Operations
762 Views

Your one video for all things matrix operations.

Inverse Matrices
691 Views

Neo, we're not in the Matrix anymore.

Identity Matrices
870 Views

Identity matrices sound more organized than identity crises, at least.