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

Answer:

$\frac{5}{24}$

Step-by-step 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

$P(pen)=\frac{2}{4} =\frac{1}{2}$

$P(crayon)=\frac{5}{12}$

$P(pen \ and \ crayon)=\frac{1}{2} \cdot \frac{5}{12}=\frac{5}{24}$