Question

A box contains 1 plain pencil and 4 pens. A second box contains 6 color pencils and 2 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?

Answer 1

Probability that a pen from the first box and a crayon from the second box are selected is 1/5.

Step-by-step explanation:

Step 1 :

• First box contain = 1 pencil + 4 pens = 5 items
• Second box contain = 6 color pencils + 2 crayons = 8 items

Step 2 :

Probability for a pen from 1st box, P(pen) = no. of pens / total items

P(pen) = 4/5

Probability for a crayon from 2nd box, P(crayon) = no. of crayons / total items

P(crayon) = 2/8 = 1/4

Step 3 :

P(pen) and P(crayon) = (4/5) $\times$ (1/4)

                                   = 4/20

P(pen) and P(crayon) = 1/5