Probability
Probability measures how likely an event is to occur, expressed as a number between 0 and 1.
What is probability?
Probability is a fundamental concept in mathematics and statistics used to quantify uncertainty. It represents the likelihood that a specific event will occur out of all possible outcomes.
Probability formula
For equally likely outcomes, probability is calculated as:
Example
Favorable outcomes (rolling a 6) = 1
Total possible outcomes = 6
Probability = 1 ÷ 6 ≈ 0.167 (16.7%)
How to interpret probability values
Probability values range between 0 and 1:
- 0 → the event is impossible
- 1 → the event is certain
- 0.5 → the event is equally likely to happen or not
Probabilities closer to 1 indicate higher likelihood, while values closer to 0 indicate lower likelihood.
Why is probability important?
Probability plays a central role in statistics, data analysis, finance, science, and risk assessment. It helps model uncertainty, analyze random processes, and support decision-making under uncertainty.
Related concepts
Probability is closely connected to several other statistical concepts, including combinations, permutations, and probability distributions.