Probability Rules

Law of Large Numbers

The more trials we observe of any random process, the proportion of times that a specific outcome occurs approaches its probability

Complement Rule

P(A) = 1 - P(A^c)

Mutually Exclusive Events

P(A∩B) = 0

Addition Rule for Mutually Exclusive Events

P(AUB) = P(A) + P(B)

General Addition Rule

P(AUB) = P(A) + P(B) - P(A∩B)

Conditional Rule

P(A|B) = P(A∩B)/P(B)

Independent Events

P(A|B) = P(A|B^c) = P(A)

Never

Mutually exclusive events can ? be independent

General Multiplication Rule

P(A∩B) = P(A) x P(B|A)

Multiplication Rule for Independent Events

P(A∩B) = P(A) x P(B)