Bernoulli Process

A Bernoulli process is a sequence of independent experiments where each trial has exactly two possible outcomes, often called "success" and "failure." Each trial has the same probability of success, say p, and failure, 1 - p. An example is flipping a fair coin repeatedly: each flip (trial) results in heads or tails, with the same probabilities each time, independent of previous flips. This process helps model situations where outcomes are binary and the probability remains constant across trials, useful in areas like quality control, communications, and probability theory.