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

Mathematics

Justus Schmidt

26 November, 20:55

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.

+4

Answers (1)

Know the Answer?

Javon Lucero · 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