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Description:

Statistics, Data, and Probability I: Drill Set 4, Problem 3. How many total different variations of car are there for Kevin to choose from?

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Transcript

00:03

Here's a shmoopy question for you...

00:05

Chuck, a lifetime criminal, is taking his son Kevin to steal his very first car.

00:09

Kevin has the following options to choose from for his virgin theft,

00:13

as displayed in the following diagram.

00:15

Based on the diagram, how many total different variations of

00:18

car are there for Kevin to choose from?

00:21

And here are the potential answers...

00:26

It's really asking whether we can collate a lot of boring data into properly measured buckets.

00:32

Let's just think through this thing.

00:34

There are 5 colors. But each color could be one of 3 power systems -- gas, hybrid or diesel.

00:40

So you know he has at least 5 times 3 total choices of cars...

00:45

...that's 15 configurations before he even considers whether he wants to steal a sedan or a coupe.

00:51

We need to be smart about our time -- we've glanced first at the potential answers,

00:55

and we already know the 3 it CAN'T be -- 6, 10 and 15.

01:00

We have 15 choices WITHOUT the sedan-coupe issue.

01:03

So we know the answer has to be MORE THAN 15.

01:06

Well, there's only one that fits the bill there and that's 30.

01:09

So it has to be the answer... but think about the sedan-coupe issue --

01:13

two choices and thus far we've multiplied our choices each time we've had the option --

01:18

2 times 15 is 30 and yeah. Varoom.

01:20

It's D... 30.

01:22

So many options for a burgeoning burglar...

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