SOLUTION: A box contains 4 plain pencils and 4 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 plan penc

Algebra ->  Probability-and-statistics -> SOLUTION: A box contains 4 plain pencils and 4 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 plan penc      Log On


   



Question 1142269: A box contains 4 plain pencils and 4 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 plan pencil from the first box and a color pencil from the second box are selected?
Answer by ikleyn(52925) About Me  (Show Source):
You can put this solution on YOUR website!
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The probability that a plain pencil from the first box is selected is  4%2F%284%2B4%29 = 4%2F8 = 1%2F2.


The probability that a color pencil from the second box is selected is  7%2F%287%2B5%29 = 7%2F12.


These two events are independent (OBVIOUSLY);  therefore, the final probability under the question

is the product of these partial probabilities



    P(that a plan pencil from the first box and a color pencil from the second box are selected) = %281%2F2%29%2A%287%2F12%29 = 7%2F24.    ANSWER


Solved.