When looking at the association between the events "owns a car" and "owns a pet," if the events are independent, then the probability P(owns a pet | owns a car) is equal to which of the following?

Question

Question 11 options:

P(owns a pet) + P(owns a car)

P(owns a car)

P(owns a pet)

P(owns a pet) x P(owns a car)

Answer 1

If the events "owns a car" (let's denote it as A) and "owns a pet" (denote it as B) are independent, then the conditional probability P(B | A) can be calculated using the rule of independence. For independent events, the following relationship holds:

\[ P(B | A) = P(B) \]

This means that knowing event A (owns a car) does not change the probability of event B (owns a pet).

Given this, the correct answer is:

P(owns a pet)