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A box contains 

2

 plain pencils and 

2

 pens. A second box contains 

7

 color pencils and 

5

 crayons. One item from each box is chosen at random. What is the probability that a pen from the first box and a crayon from the second box are selected?

 May 9, 2022
 #1
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Prob(pen from first box) = \(\dfrac{2}{2 + 2} = \dfrac12\). (It is equally as likely to choose a plain pencil or a pen, because the numbers are the same.)

 

Prob(crayon from second box) = \(\dfrac{5}{5 + 7} = \dfrac5{12}\).

 

The events do not impact each other, so the case of both events happening is just the product of the two probabilities. Can you finish it from here?

 May 9, 2022

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