Question

A box contains 1 plain pencil and 3 pens. A second box contains 2 color pencils and 6 crayons. One Item from each box is chosen at random. What is theprobability 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

3/4

Step-by-step explanation:

First box:

number of pencils = 1

number of pens = 3

Probability of picking pen in the first box = number of pens /total number in the box

Total = 1 + 3 = 4

probability of picking pen in the 1st box = 3/4

2nd box:

number of color pencils = 2

number of crayons = 6

Total = 2 + 6 = 8

Probability of picking crayons in the 2nd box = number of crayons/total number in the box

Probability of picking crayons in the 2nd box = 6/8 = 3/4

Probability of picking a pen from the first box and a crayon from the second box = probability of picking pen in the 1st box × Probability of picking crayons in the 2nd box

Probability of picking a pen from the first box and a crayon from the second box = 3/4 × 3/4

Probability of picking a pen from the first box and a crayon from the second box = 9/16