Conditional Probability and Bayes' Theorem

Master conditional probability, independence, tree diagrams, total probability law, and Bayes' theorem.

Questions

20, in 5 parts: Conditional Probability Basics · Independent Events · Trick Questions · Law of Total Probability · Bayes' Theorem

Chapter

Probability

Game

Citadel

Pack language

English

A taste of what is inside

1. What is the mathematical formula for conditional probability P(A|B), the probability of event A given event B has occurred?P(A) × P(B)P(A ∩ B) / P(A)P(A ∩ B) / P(B)P(A ∪ B) / P(B)
2. Two events A and B are statistically independent if and only if P(A ∩ B) equals:1P(A) + P(B)P(A) / P(B)P(A) × P(B)
3. Is conditional probability P(A|B) always equal to conditional probability P(B|A)?No, P(A|B) and P(B|A) are generally unequalNo, unless P(A ∩ B) = 1Yes, conditional probability swapsYes, unless P(A) = 0