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?
|CAHSEE Math||Statistics, Data, and Probability I|
|Statistics and Probability||Probability|
|Statistics, Data Analysis, and Probability 6||Probability|
to school on Monday... Jason or his sister.
The possible outcomes are shown in the table below.
On this upcoming spin, what is the probability of obtaining either a vowel or an even number?
Jason will need one or the other, or he might as well start shining his big fat shoes...
And here are the potential answers:
OK, so this is another spin question.
We have a 2 by 2 table with numbers on the vertical column and letters on the horizontal row.
When we spin the two spinners,
we're going to get 1 thing from the y axis and 1 thing from the x.
And note that there are TWO spins as well -- the first will choose from the letters
and asks what the odds are if we get a vowel.
Well, out of A, B, C, D, and E... ...A and E are vowels.
Then you have the 2nd spin, which is asking for the odds of spinning an even number.
Well, out of the numbers 1, 2, 3, 4, and 5, there are only 2 even numbers --
yep 2 and 4.
The question is asking us to find the probability
of obtaining either a vowel or an even number...
...which means we can just count any combination
that includes at least one of the following: an A, E, 2, or 4.
If we count up the first two columns, and the second and fourth row, we get 16 possibilities
out of a total of 25... so the answer is C.
Despite having better than average odds, Jason
fails to spin one of the desired results... ...and he's going to have to pay the price.