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Description:
Statistics, Data, and Probability I: Drill Set 4, Problem 2. On the upcoming spin, what is the probability of obtaining either a vowel or an even number?
Transcript
- 00:02
Here's a shmoopy question for you...
- 00:05
Two fair spinners, each separated into equal regions,
- 00:08
one with the letters A through E on it,
- 00:10
and the other with numbers 1 through 5, are spun.
- 00:14
There's a lot riding on this, because it's to determine who has to wear a clown costume
Full Transcript
- 00:18
to school on Monday... Jason or his sister.
- 00:22
The possible outcomes are shown in the table below.
- 00:24
On this upcoming spin, what is the probability of obtaining either a vowel or an even number?
- 00:31
Jason will need one or the other, or he might as well start shining his big fat shoes...
- 00:37
And here are the potential answers:
- 00:42
OK, so this is another spin question.
- 00:45
We have a 2 by 2 table with numbers on the vertical column and letters on the horizontal row.
- 00:50
When we spin the two spinners,
- 00:52
we're going to get 1 thing from the y axis and 1 thing from the x.
- 00:57
And note that there are TWO spins as well -- the first will choose from the letters
- 01:01
and asks what the odds are if we get a vowel.
- 01:04
Well, out of A, B, C, D, and E... ...A and E are vowels.
- 01:08
Then you have the 2nd spin, which is asking for the odds of spinning an even number.
- 01:12
Well, out of the numbers 1, 2, 3, 4, and 5, there are only 2 even numbers --
- 01:17
yep 2 and 4.
- 01:18
The question is asking us to find the probability
- 01:21
of obtaining either a vowel or an even number...
- 01:24
...which means we can just count any combination
- 01:26
that includes at least one of the following: an A, E, 2, or 4.
- 01:32
If we count up the first two columns, and the second and fourth row, we get 16 possibilities
- 01:36
out of a total of 25... so the answer is C.
- 01:41
Despite having better than average odds, Jason
- 01:43
fails to spin one of the desired results... ...and he's going to have to pay the price.
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