# Annie has 6 green, 4 red, 4 blue, 2 purple, and 8 black pencils in her pencil case. Annie randomly selects one of the pencils. What is the probability that Annie selects a purple or a black pencil?

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by robysulit132

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by robysulit132

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

or simply

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

So in your question

We just need to add all of it to know the total outcomes.

We have,

6 + 4 + 4 + 2 + 8 = 24

There are 24 of total outcomes now.

And add the number of purple and black pencil.

purple has 2 and black has 8

In total we have 10

10 will represent the number of ways it can happen.

Time to solve.

P = 10 / 24

therefore,

P = 5/12

So the probability of Annie having purple and black pencil is 5/12 or 0.42

I hope it helps.