The probability of an event is its value under a probability measure, a real number between zero and one that quantifies how likely the event is.
For a real random variable , an upper-tail probability has the form and a lower-tail probability has the form . A concentration inequality bounds such probabilities.
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Probability is a branch of mathematics that deals with the quantification of uncertainty. It measures how likely an event is to occur, expressed as a number between 0 and 1, or as a percentage between 0% and 100%. Here are some key concepts related to probability: 1. **Experiments and Outcomes**: A probability experiment is a procedure that yields one or more outcomes. An outcome is the result of a single trial of an experiment.