For breakfast Amanda has oatmeal with fruit. She has 3 flavors of oatmeal: brown sugar, maple, and cinnamon. She has 3 types of fruit: raisins, cranberries, and blueberries. Each flavor of oatmeal and each type of fruit has an equal chance of being selected. What is the probability that Amanda randomly selects cinnamon oatmeal with raisins?

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Answers

2014-11-05T11:49:59+08:00
Simple math.

Probability is equal to the number of ways it can happen over the total number of outcomes.

Or simple

P = n1 + n2 + n3... / nTotal

However in you question, you have used the word "and" that represent multiplication instead of "or" that represents addition.

So we need to change the formula like this

P = n1 * n2 * n3... / NTotal

So we just need multiply the number of oatmeal to fruits to get nTotal. Since we have two different category.

So we have 3 * 3 = 9 total possibility

And we need to multiply 1 cinnamon oatmeal to 1 raisin fruit

That will be 1

therefore,

P = 1/9

So Amanda can have the probability of having cinnamon with raisin of 1/9 or 0.11.

You can just simply make a table for this.

For oatmeals,

S for brown sugar, M for maple and C for Cinnamon

For fruits,

R for raisins, C for cranberries and B for blueberries

                                             FRUITS
----------------------------------------------------------------------------
OATMEAL  |     SR     |    SC    |     SB    |
                 ----------------------------------------------
                  |    MR    |    MC    |    MB     |
                 ----------------------------------------------
                  |    CR     |    CC    |    CB      |
                 ----------------------------------------------

We have a total of 9 outcomes and CR represents cinnamon with raisins.

I hope it helps.
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