How likely something is to happen. Many events can't be predicted with total certainty. The best we can say is how likely they are to happen, using the idea of probability. When a coin is tossed, there are …

The probability is a number between 0 and 1; the larger the probability, the more likely the desired outcome is to occur. For example, tossing a coin twice will yield "head-head", "head-tail", "tail-head", …

This course provides an elementary introduction to probability and statistics with applications. Topics include basic combinatorics, random variables, probability distributions, Bayesian inference, …

For example, for the box of Figure 1.2, where 60% of the balls in the box are red, if we select one ball at random, there is a 60% chance (probability) that it will be red.

Dec 6, 2025 · The probability of an event E, denoted by P (E), is a number between 0 and 1 that represents the likelihood of E occurring. If P (E) = 0, the event E is impossible.

Random experiments and probability The goal of this first chapter is to provide an introduction to the language of probability theory, which, in the context of this course, is the field within mathematics …

Jan 9, 2026 · This page introduces probability as a crucial tool for understanding chance and randomness, using examples like dice rolling to demonstrate how repeated trials can reveal patterns. …

Apr 14, 2025 · It is designed to accompany our lectures, assignments, and discussions, providing a structured and focused introduction to key concepts in probability.

Learn probability, an essential language and set of tools for understanding data, randomness, and uncertainty.

Probability is all about how likely is an event to happen. For a random experiment with sample space S, the probability of happening of an event A is calculated by the probability formula n (A)/n (S).