In a carnival game, there are 8 identical boxes, one of which contains a prize. Contestants guess which box contains the prize. The game is played until one of the contestants guesses it correctly. A contestant with the smaller number of guesses wins the prize. Before each game, a new prize is placed at random in one of the 8 boxes. Is It appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 2 times? A. No. The trials are not independent.
B. No. The trials do not have the same success.
C. No. The number of this is not fixed.
D. Yes. The trials are independent, identical, have only two outcomes, have the same (sco), and the number of trials is faed.
E. No. The trials have more than two outcomes.
F. No. The trials are not identical.