Determine whether the given experiment is a binomial experiment. Justify your answer.
Casting a fair die 3 times and observing the number of times a 6 is thrown.

A) No. There are more than two outcomes to the experiment.
B) No. The probability of 6 to be thrown is not the same as the probability a 3 is thrown.
C) Yes. The number of trials in the experiment is fixed. There are two outcomes of the experiment. The probability of success in each trial is the same. The trials are independent of each other.

Question

Determine whether the given experiment is a binomial experiment. Justify your answer. ​
Casting a fair die 3 times and observing the number of times a 6 is thrown.
​
A) No. There are more than two outcomes to the experiment.
B) No. The probability of 6 to be thrown is not the same as the probability a 3 is thrown.
C) Yes. The number of trials in the experiment is fixed. There are two outcomes of the experiment. The probability of success in each trial is the same. The trials are independent of each other.

Quizplus · Accepted Answer

The experiment meets all the requirements of a binomial experiment - fixed number of trials (3), two possible outcomes (throwing a 6 or not), equal probability of success in each trial (1/6), and independence of trials.

Determine Whether the Given Experiment Is a Binomial Experiment