A box contains 3 plain pencils and 9 pens. a second box contains 7 color 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 color pencil from the second box are selected?

Question

Nola Singh

Mathematics

25 March, 01:53

A box contains 3 plain pencils and 9 pens. a second box contains 7 color 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 color pencil from the second box are selected?

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Answers (1)

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Leanna Dennis · Answer 1

3 pencils and 9 pens = 12 total

probability of picking pencil in 1st box is 3/12 which reduces to 1/4

7 pencils and 3 crayons = 10 total

probability of picking pencil from 2nd box is 7/10

probability of both = (1/4 * 7/10) = 7/40 <==