A box contains 4 plain pencils and 4 pens. A second box contains 3 color pencils and 7 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? Write your answer as a fraction in simplest form.

Question

Thalia Diaz

Mathematics

9 June, 07:31

A box contains 4 plain pencils and 4 pens. A second box contains 3 color pencils and 7 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? Write your answer as a fraction in simplest form.

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Answers (1)

Know the Answer?

Raina Graves · Answer 1

P (pen from first box) = 4/8 = 1/2

P (crayon from second box) = 7/10

as these events are independent the individual probabilities are multiplied

so P (pen and crayon) = 1/2 * 7/10 = 7/20