Part 6/8:
A practical example illustrating entropy can be found in David MacKay's simple game analogy, Submarine, where players attempt to guess the location of a submarine hidden beneath one of several squares. As players make guesses, they gradually accumulate information regarding the submarine's location, reflecting how entropy informs decision-making by quantifying uncertainty.
Joint, Conditional Entropy, and Mutual Information
As we extend our understanding, we encounter joint entropy, which encompasses the entropy of multiple variables considered together. Additionally, the conditional entropy reveals how much randomness remains in one variable after accounting for knowledge of another.