Question

The probability that a vehicle entering the Luray

Caverns has Canadian license plates is 0.12; the
probability that it is a camper is 0.28; and the probability
that it is a camper with Canadian license plates
is 0.09. What is the probability that
(a) a camper entering the Luray Caverns has Canadian
license plates?
(b) a vehicle with Canadian license plates entering the
Luray Caverns is a camper?
(c) a vehicle entering the Luray Caverns does not have
Canadian plates or is not a camper?

Answer 1

Probability that a vehicle entering the Luray Caverns has Canadian license plates = 0.12
Probability that it is a camper = 0.28
Probability that it is a camper with Canadian license plates = 0.09

a. Probability that a camper entering the Luray Caverns has Canadian
license plates = 0.09

b. Probability that a vehicle with Canadian
license plates entering the Luray Caverns is a camper = 0.09/0.12
= 0.75

c. Probability that a vehicle entering the Luray Caverns
does not have Canadian plates or is not a camper = 0.88 + 0.72 - 0.81
= 0.80