A die is rolled 20 times and the number of 2s are counted. Can this situation be modelled using a binomial distribution? Explain.

Answer 1

Yes, all of the requirements for a binomial distribution are met.

1. There are a fixed number of trials because the die is rolled 20 times.
2. The trials are independent because whatever you roll has no impact on what you will roll next.
3. There are only 2 possible outcomes because either you rolled a 2 or you didn't.
4. The probability of success is the same for each trial because you always have a 1/6 chance of rolling a 2 on a fair dice.