9.2 connecting probability to models and counting remember to silence your cell phone and put it in...
DESCRIPTION
Probability of Independent Events Independent Events When the outcome of one event has no influence on the outcome of a second event When knowing whether A occurs does not change the probability that B occurs Multiplication Property of Probabilities Involving Independent Events If events A and B are independent, then P(A and B) = P(A) × P(B).TRANSCRIPT
9.2 Connecting Probability to Models and Counting
Remember to Silence Your Cell Phone and Put It In Your Bag!
Counting TheoryTree Diagram
The Fundamental Counting Principle If event A has m outcomes and event
B has n outcomes, then the experiment that has event A followed by event B has m × n outcomes.
Property may be generalized to more than two events
Probability ofIndependent Events
Independent Events When the outcome of one event has no
influence on the outcome of a second event When knowing whether A occurs does not
change the probability that B occurs
Multiplication Property of Probabilities Involving Independent Events If events A and B are independent, then
P(A and B) = P(A) × P(B).
For all multistage experiments, the probability of the outcome along any path of a tree diagram is equal to the product of all the probabilities along the path.
Conditional Probability Omit pp. 512-514