Probability is simply how likely something is to happen. Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of …

Learn statistics and probability—everything you'd want to know about descriptive and inferential statistics.

Probability tells us how often some event will happen after many repeated trials. You've experienced probability when you've flipped a coin, rolled some dice, or looked at a weather forecast.

Probability, a word that you've probably heard a lot of, and you are probably a little bit familiar with it. But hopefully, this will give you a little deeper understanding.

Practice Mean and standard deviation of a binomial random variable Get 3 of 4 questions to level up!

Probability is the chance that basically anything can happen. It is helpful in real-life situations because you can come up with the likeliness that it will or will not happen.

You can prove that if P (A|B) = P (A) then P (B|A) = P (B). (proof is fairly straightforward, just use the definition of conditional probability) So knowing P (A|B) = P (A) is enough to prove independence.

Confidence interval for a mean with paired data Making a t interval for paired data Interpreting a confidence interval for a mean Sample size for a given margin of error for a mean

This introduction to probability and statistics explores probability models, sample spaces, compound events, random samples, and a whole lot more.

Learn a powerful collection of methods for working with data! AP®️ Statistics is all about collecting, displaying, summarizing, interpreting, and making inferences from data.