The denominator of Bayes' rule:
A) is the same as the simple probability of an outcome O.
B) decomposes the probability of the new information I into all possibilities.
C) is sometimes called the law of complementary probabilities.
D) is unique for each possible outcome.

Question

The denominator of Bayes' rule:
A) is the same as the simple probability of an outcome O. 
B) decomposes the probability of the new information I into all possibilities.​ 
C) is sometimes called the law of complementary probabilities.​ 
D) is unique for each possible outcome.

Quizplus · Accepted Answer

The denominator of Bayes' rule decomposes the probability of the new information I into all possibilities, allowing us to adjust our prior probabilities based on the new information. This is essential for Bayesian inference, which updates beliefs based on new evidence.

The Denominator of Bayes' Rule