Question
A bag contains seven red marbles and seven blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. The first marble is red and the second marble is blue. This is an independent event.
T.
True
F.
False
T.
True
F.
False
Answers
GPT-4o mini
The statement is **False**.
The picking of the marbles is not independent because the outcome of the first pick affects the probabilities of the second pick. When you pick a red marble first, you have 6 red marbles and 7 blue marbles left in the bag for your second pick. The probability of picking a blue marble changes based on the first event. Therefore, the two events are dependent, not independent.
The picking of the marbles is not independent because the outcome of the first pick affects the probabilities of the second pick. When you pick a red marble first, you have 6 red marbles and 7 blue marbles left in the bag for your second pick. The probability of picking a blue marble changes based on the first event. Therefore, the two events are dependent, not independent.