Each trial has only two possible outcomes — success or failure.
The probability of success p is the same in every trial. The probability of failure q is 1-p.
The random variable X is the number of successes in n trials.
Let's consider the given experiment to determine whether it is a binomial experiment or can be reduced to a binomial experiment.
A study finds that 58 % of people have pets. You ask 100 people how many pets they have.
Because we ask 100 people, there is a fixed number of independent trials. However, each trial cannot be classified as a success or failure since there are more than two possible outcomes. Therefore, our experiment is not a binomial experiment, nor can it be reduced to a binomial experiment because the second condition is not satisfied.
