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08-07-2016
Mathematics

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a box contains 5 plain pencils and 5 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?

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08-07-2016

First box: [tex] \dfrac{pen}{total}=\dfrac{5}{10}=\dfrac{1}{2} [/tex]

Second box: [tex] \dfrac{crayon}{total}=\dfrac{5}{12} [/tex]

Multiply them:

[tex] \dfrac{1}{2}*\dfrac{5}{12}=\dfrac{5}{24} [/tex]

The probabilityis [tex] \dfrac{5}{24} [/tex]

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