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Description:

Statistics, Data, and Probability I: Drill Set 4, Problem 5. If one jellybean is chosen at random, what is the probability that it is watermelon flavored?

Language:
English Language

Transcript

00:03

Here's a shmoopy question for you...

00:05

A bag of jellybeans includes the following:

00:08

If one jellybean is chosen at random, what is the probability that it is a watermelon flavored jellybean?

00:14

And here are the potential answers...

00:19

Ok, so what's this question really asking?

00:21

Well, it's clearly a probability question

00:24

...where we just know that the answer is going to be some small number of things out of some

00:28

larger number of things. And in this case, uh... that's the case.

00:31

The problem is asking for a simple, one step probability quotient --

00:37

we'll choose one jellybean of a certain type out of all the total available jellybeans.

00:43

The question tells us that there are 8 watermelon beans -- so again that red light should go

00:47

off that 8 is going to be in the numerator.

00:50

The denominator is going to be the sum total of all of our choices.

00:54

And it'd be really mean but totally fair if they threw in curveballs here by giving

00:58

us random facts that don't matter -- like, instead of them all being jellybeans...

01:03

...there were 5 lima beans, 3 pinto beans...

01:06

We have to make sure to throw those out because we are ONLY dealing with jelly beans here.

01:12

And the answer is pretty straightforward -- we have a total of 6 plus 10 plus 12 plus 8 or

01:16

a total of 36 jellybeans So the odds of picking a watermelon jellybean

01:21

out of ALL jellybeans is 8 over 36... ...which simplifies to 2 over 9.

01:26

So our answer is B.

01:27

You know what... maybe we'll just pass on dessert.

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