General Probability | Exam P Study Manual

The Actuarial Nexus

Section 1. General Probability

1.0. Introduction to Probability

$A \cup B$

1.1. Set Theory

$|A| + |B| - |A \cap B|$

1.2. Principle of Inclusion-Exclusion

$A \cap B = \emptyset$

1.3. Mutual Exclusivity

$P(A) \times P(B)$

1.4. Independent Events

$P(A|B)$

1.5. Conditional Events

$\sum_{i=1}^n P(B \cap A_i)$

1.6. Law of Total Probability

$P(A|B)$

1.7. Bayes' Theorem

$(A \cup B)^{C}$

1.8. De Morgan's Laws

$P(n,k)$

1.9. Permutations

$\dbinom{n}{p}$

1.10. Combinations