Probability Rules
The probability of an event A is 0≤P(A)≤1
If S repesents the entire sample space, then P(S) = 1
The compliment of event A is Ac
P(A) + P(Ac) = 1 = P(S)
If events A and B are disjoint, or mutually exclusive, P(A and B) = 0
If A and B are independent, P(A and B) must equal P(A) x P(B) and P(A|B) must equal P(A)
General Addition Rule:
P(A or B) = P(A) + P(B) - P(A and B)
General Multiplication Rule:
P(A and B) = P(A) x P(B|A)
Conditional Probability:
P(A|B) = P(A and B)/P(B)