Problem page a box contains 2 plain pencils and 6 pens. a second box contains 5 color pencils and 3 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

Aydan Carpenter

14 October, 15:53

Problem page a box contains 2 plain pencils and 6 pens. a second box contains 5 color pencils and 3 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)

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Axel Charles · Answer 1

1st box ... 2 plain pencils ... 6 pens ... total of 18 writing utensils

2nd box ... 5 color pencils ... 3 crayons ... total of 8 writing utensils

probability of picking a pen from 1st box is 6/18 reduces to 1/3

probability of picking a crayon from the 2nd box is 3/8

And since these are both independent events, the probability of both happening can be found by multiplying the independent probabilities.

1/3 * 3/8 = 3/24 which reduces to 1/8 <==