In a survey of a town, 56% of residents own a car, 21% of residents owns a truck, and 4% of residents own both a car and a truck. What is the conditional probability that a person who owns a car also owns a truck? A. 7% B. 17% C. 44% D. 19%

A. 7%

Step-by-step explanation:

We build the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a resident owns a car.

B is the probability that a resident owns a truck.

We have that:

In which a is the probability that a resident has a car but not a truck and is the probability that a resident has both a car and a truck.

By the same logic, we have that:

4% of residents own both a car and a truck.

This means that

56% of residents own a car

This means that . So

What is the conditional probability that a person who owns a car also owns a truck?

So the correct answer is:

A. 7%

a=r

d=q

c=p

b=s

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