Question

If G is seated second, which one of the following could be true?

A) H is seated first.

B) M is seated third.

C) O is seated fourth.

D) N is seated fifth.

E) K is seated sixth

Answer 1

The answer is D. G and H are independent events because the probability of G occurring is the same regardless of whether H has occurred, defining them as independent in probability theory.

Step-by-step explanation:

If P(G|H) = P(G), this indicates that the likelihood of event G occurring is the same whether we know event H has occurred or not. In probability theory, this condition is the definition of independence between two events. Therefore, the correct answer to the question, "If P(G|H) = P(G), then which of the following is correct?" is:

D. G and H are independent events.

The other options provided do not accurately describe the relationship between events G and H when P(G|H) equals P(G).