A local car dealership currently has 36 used GM, Ford, and Toyota vehicles on the lot that can be classified as either cars or trucks The following data are available Twentysix vehicles are cars Eleven vehicles are GMs Fifteen vehicles are Fords Three vehicles are both Toyotas and trucks Fourteen v...

A local car dealership currently has 36 used GM, Ford, and Toyota vehicles on the lot that

Question:

A local car dealership currently has 36 used GM, Ford, and Toyota vehicles on the lot that can be classified as either cars or trucks. The following data are available:

Twentysix vehicles are cars.
Eleven vehicles are GMs.
Fifteen vehicles are Fords.
Three vehicles are both Toyotas and trucks.
Fourteen vehicles are both Fords and cars.

a. What is the probability that a randomly selected vehicle is a Toyota?
b. What is the probability that a randomly selected vehicle is a truck?
c. What is the probability that a randomly selected vehicle is a either a Ford or a car?
d. What is the probability that a randomly selected vehicle is a GM truck?
e. What is the probability that a randomly selected vehicle is a Toyota, given it is a car?
f. What is the probability that a randomly selected vehicle is a truck, given it is a Ford?
g. Construct a decision tree for these events.