Question

Determine whether the events E and F are independent or dependent. Justify your answer.

E: A person going into debt.

F: The same person having a credit card.

A.) E and F are dependent because going into debt has no effect on the probability of a person having a credit card.

B.) E and F are dependent because having a credit card can affect the probability of a person going into debt.

C.)E and F are independent because going into debt has no effect on the probability of a person having a credit card.

D.) E and F are independent because having a credit card has no effect on the probability of a person going into debt.

E: A randomly selected person finding cheese revolting.

F: Another randomly selected person finding cheese delicious.

A.) E can affect the probability of F, even if the two people are randomly selected, so the events are dependent.

B.) E cannot affect F because "person 1 finding cheese revolting" could never occur, so the events are neither dependent nor independent.

C.) E can affect the probability of F because the people were randomly selected, so the events are dependent.

D.) E cannot affect F and vice versa because the people were randomly selected, so the events are independent.