Question

In a survey of a town, 56% of residents own a car, 21% of residents own 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? Round to the nearest whole number.

19%
17%
7%
44%

Answer 1

Answer and Step-by-step explanation:

To find the conditional probability that a person who owns a car also owns a truck, we need to use the formula for conditional probability:

P(owning a truck | owning a car) = P(owning both a car and a truck) / P(owning a car)

In the given problem, we are told that 56% of residents own a car and 4% of residents own both a car and a truck.

So, P(owning a car) = 56%

And P(owning both a car and a truck) = 4%

Now, we can substitute these values into the formula to find the conditional probability:

P(owning a truck | owning a car) = 4% / 56%

Calculating this, we find:

P(owning a truck | owning a car) ≈ 0.071 ≈ 7%

Therefore, the conditional probability that a person who owns a car also owns a truck is approximately 7%.