PRESENTATION OUTLINE
The Independence & Multiplication Rule
Objectives
- Identify independent events
- Use the Multiplication Rule for Independent Events
- Compute at-least probabilities
Two events E and F are independent if the occurrence of event E in a probability experiment does not affect the probability of event F. Two events are dependent if the occurrence of event E in a probability experiment affects the probability of event F.
Multiplication Rule for Independent Events
If E and F are independent events, then
P (E and F) = P(E) x P(F)
Multiplication Rule for n Independent Events
If E1, E2, E3, … and En are independent events, then
P(E1 & E2 & E3 & ... & En)
= P(E1) x P(E2)...x P(En)