Question

Andy is getting his office painted. Andy gets to choose the paint color, but his boss has to approve it. The probability of Andy choosing red is 32%. The probability that his boss approves Andy's choice is 20%. What is the probability that Andy chooses red and his boss approves?

Answer 1

You would multiply 20% and 32% and get 0.064 or 6.4%

Answer 2

Let A be the probability that Andy choose red
Let B be the probability that his boss approves

Solution:
P (A and B) = P(A) X P(B)
= 0.32 X 0.20
= 0.064

Convert the 0.064 to percentage, multiply it by 100.

=0.064 x 100
=6.4%