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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?
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?
Full Transcript
- 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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