Question

A box contains 2 plain pencils and 2 pens. A second box contains 7 color pencils and 5 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:

A box contains 2 plain pencils and 2 pens. A second box contains 7 color pencils and 5 crayons.

probability = number of the outcomes / total outcomes

total item in first box is 2+2=4

total items in second box is 7+5= 12

`P(pen)=(2)/(4) =(1)/(2)`

`P(crayon)=(5)/(12)`

`P(pen \ and \ crayon)=(1)/(2) \cdot (5)/(12)=(5)/(24)`