Question

In a recent survey of homes in a major Midwestern city, 10% of the homes have a fax machine and 55% have a personal computer. Suppose 7% of the homes with a fax machine also have a personal computer. What is the probability that a home has a fax machine or a personal computer?

Answer 1

ANS

Let, P(A) = Probability of homes with fax machiene = 10/100

P(B) = Probability of homes with computer = 55/100

P(AB) = Probability of homes with fax machiene and a computer = 7/100

P(AB) =probability that a home has a fax machine or a personal computer

P(AB) = P(A) + P(B) - P(AB)

= 10/100 + 55/100- 7/100

= 58/100 =

probability that a home has a fax machine or a personal computer = 0.58