Question

A box contains 7 plain pencils and 5 pens. A second box contains 4 color pencils and 4 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

Answer 1

5/24

Explanation:

Probability of selecting a pen :

⇒ Number of pens / Total items in Box 1

⇒ 5 / 7 + 5

⇒ 5/12

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Probability of selecting a crayon :

⇒ Number of crayons / Number of items in box 2

⇒ 4 / 4 + 4

⇒ 4/8

⇒ 1/2

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Probability (of both events) :

⇒ 5/12 × 1/2

⇒ 5/24