Question

determine whether the events e and f are independent or dependent. justify your answer. complete parts (a) through (c).

b. events e and f are independent because eating fast food for dinner every night has no effect on the probability of a person gaining weight.

c. events e and f are independent because gaining weight has no effect on the probability of a person eating fast food for dinner every night.

d. events e and f are dependent because eating fast food for dinner every night has no effect on the probability of a person gaining weight.

(c) e: you roll a fair six - sided die and get an even number.
f: the temperature in your city will decrease tomorrow.

choose the correct answer.

a. events e and f are dependent because rolling a fair six - sided die and getting an even number has no effect on the probability of the temperature decreasing in a city.

b. events e and f are independent because rolling a fair six - sided die and getting an even number can affect the probability of the temperature decreasing in a city.

c. events e and f are dependent because rolling a fair six - sided die and getting an even number can affect the probability of the temperature decreasing in a city.

d. events e and f are independent because rolling a fair six - sided die and getting an even number has no effect on the probability of the temperature decreasing in a city.

Explanation:

Two events are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. Rolling a die and getting an even number (event E) has no causal or probabilistic connection to the temperature in a city decreasing tomorrow (event F). The outcome of the die - roll does not influence weather conditions.

Answer:

D. Events E and F are independent because rolling a fair six - sided die and getting an even number has no effect on the probability of the temperature decreasing in a city.