Bayes' Theorem provides a mathematical framework for updating the probability of a hypothesis based on new evidence, balancing prior beliefs with the likelihood of observed data. It is foundational in fields like statistics, machine learning, and data science for making informed inferences and decisions under uncertainty.

Bayes' Theorem

mathematical framework

updating the probability

A hypothesis is a testable statement or prediction that serves as a starting point for scientific investigation. It must be specific, measurable, and falsifiable, providing a basis for experimentation and further inquiry.

hypothesis

new evidence

prior beliefs

likelihood of observed data

Foundational in statistics

Foundational in machine learning

Foundational in data science

making informed inferences

decisions under uncertainty

Definition and Fundamentals of Conditional Probability

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