SOLUTION: A box contains 1 plain pencil and 9 pens. A second box contains 3 colored pencils and 3 crayons. One item from each box is chosen at random. What is the probability that a plain pe

Question 1201652: A box contains 1 plain pencil and 9 pens. A second box contains 3 colored pencils and 3 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a colored pencil from the second box is selected?
Write your answer as a fraction in simplest form.

How do I write this as a fraction in simplest form?

Answer by ikleyn(52779) (Show Source): You can put this solution on YOUR website!
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A box contains 1 plain pencil and 9 pens. A second box contains 3 colored pencils and 3 crayons.
One item from each box is chosen at random. What is the probability that a plain pencil from the first box
and a colored pencil from the second box is selected?
Write your answer as a fraction in simplest form.
How do I write this as a fraction in simplest form?
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The probability for the 1st event 

    P1 = P(a plain pencil from the 1st box) = .   (here 10 = 1 + 9 items)



The probability for the 2nd event 

    P2 = P(a colored pencil from the second box) =  = .   (here 6 = 3 + 3 items)



The probability that BOTH events happen SIMULTANEOUSLY

    P = P1*P2 =  = .      Your ANSWER

Solved.

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