Probability Theory: The Mathematics of Quantum Uncertainty

Probability theory measures the likelihood of events when outcomes can’t be predicted with certainty.
In quantum mechanics, particles don’t have definite properties until measured—only probabilities.
The famous double-slit experiment shows probability waves creating interference patterns.
A quantum state’s wave function encodes probabilities for all possible outcomes.
Born’s rule connects the wave function’s amplitude to measurable probabilities.
Superposition means particles exist in multiple states, weighted by probability.
Probability theory explains radioactive decay, where only half-lives can be predicted.
Quantum entanglement reveals correlations in probabilities across vast distances.
Statistical methods in probability help physicists interpret experimental data.
At its core, probability theory makes sense of quantum uncertainty, turning randomness into law.