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9.2 Connecting Probability to Models and Counting Remember to Silence Your Cell Phone and Put It In Your Bag!

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Presentation on theme: "9.2 Connecting Probability to Models and Counting Remember to Silence Your Cell Phone and Put It In Your Bag!"— Presentation transcript:

1 9.2 Connecting Probability to Models and Counting Remember to Silence Your Cell Phone and Put It In Your Bag!

2 Counting Theory Tree 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

3 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).

4 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


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