Question

Mr. Jackson likes to play a game in which rolling a 4 on a number cube doubles your score. He wants to know the probability that he will roll a 4 exactly 3 times out of 10 rolls. I need four reasons this is an example of a binomial experiment.

Answer 1

1. There are a fixed number of trials

2. There are two outcomes: success (getting a 4) and failure (not getting a 4)

3. You know the probability of success and it is the same for each trial

4. You are looking for the probability of getting a 4 exactly 3 out of 10 times. When you're looking for the probability of getting exactly x number of successes in n trials, that is a binomial probability distribution.

Explanation: