Compound Probability

Compound Probability

• Compound probability involves finding the likelihood that two events both occur.
• The relationship between the events must be considered.

Independent Events

• Two events, A and B, are independent if the occurrence of event A does not affect the probability of event B occurring.
• The probability of both A and B occurring is given by: Probability(A AND B) = Probability(A) \cdot Probability(B)

Dependent Events

• Two events, A and B, are dependent if the outcome of event A affects the outcome of event B, thus changing the probability of event B.
• The probability of both A and B occurring is given by: Probability(A AND B) = Probability(A) \cdot Probability(B \text{ given } A)