# 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.

• 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.

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