Question

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.

Answer 1

Explanation:

Answer 2

C. No. The number of trials is not fixed.

Explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

It is needed that:

In each trial, the probability of a success is the same, that is, the trials are independent.

A fixed number of trials.

The game is played until one of the contestants guesses it correctly.

This means that there is not a fixed number of trials, and thus, the binomial probability distribution cannot be used to solve this question, and the correct answer is given by option c.