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Statistics and Probability Videos 134 videos
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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?
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
Full Transcript
- 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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