Final answer:
A binomial experiment has three conditions: a fixed number of trials, two possible outcomes per trial (success and failure), and independence between trials. Examples of binomial probabilities include flipping a coin and counting the number of heads, and giving a multiple choice test and counting the number of correct answers.
Step-by-step explanation:
A binomial experiment has three conditions:
- There are a fixed number of trials, denoted by n.
- There are only two possible outcomes, called success and failure, for each trial, with probabilities denoted by p and q respectively.
- The trials are independent, meaning the outcome of one trial does not affect the outcome of another trial.
Examples of binomial probabilities include:
- Flipping a fair coin and counting the number of heads obtained in a fixed number of flips.
- Giving a multiple choice test with a fixed number of questions and counting the number of correct answers.