Question

A box contains

5

plain pencils and
5

pens. A second box contains
5

color pencils and
7

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

Sample space of A the 1st box ={5 plain pencils, 5 pens}

Sample space of B the 2nd box ={5 color pencils,7 crayons}

P(pen from the first box) =5/10 = 1/2
P(crayon from the second box) = 7/12

Now the P(pen from the first box AND crayon from the second box)

=P(pen from the first box ∩ crayon from the second box) =1/2 x 7/12
= 7/24 = 0.29