Probability, Conditional Probability, and Bayes’ Rule
If statistics can be defined as the science that studies uncertainty, then probability is the branch of mathematics that quantifies it. One’s intuition of chance and probability develops at a very early age (Piaget and Inhelder, 1976). However, the formal, precise definition of probability is elusive. There are several competing definitions for the probability of an event, but the most practical one uses its relative frequency in a potentially infinite series of experiments.
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