Drill #84 1. Draw a tree diagram that shows the sample space for getting an A, B, or C in English or Science class. 2. What is the probability of getting at least 1 A? 3. evaluate: 9! 4. How many ways can you arrange 6 baseball cards in a display window (in any order)

Scrabble Letters Number of Tiles J, K, Q, X, Z----------------------------- B, C, F, H, M, P, V, W, Y, Blank G------------------------------------------- D, L, S, U--------------------------------- N, R, T------------------------------------ O------------------------------------------- A, I----------------------------------------- E------------------------------------------- Total = 100 tiles 1 2 3 4 6 8 9 12

12-4 Probability Objective: To find the probability of a simple event and to find the odds of a simple event, and to find the probability of a compound event. Open books to page 709

(1.) Definition of Probability ** P(event)= number of favorable outcomes total number of possible outcomes Example: Event = Coin Toss P(Heads) = 1 P(Tails) = 1 2 2 Equally Likely

(2.)Equally Likely: Two events that have the same probability of occurring. Example: Choosing a card from a deck P(Hearts) = P(Spades) = P(Diamonds) = P (Clubs) = (3.)Random: When an outcome is chosen without any preference

CLASSWORK Probability Open books to page 710 #1-13 ODD

(4.) Odds** Definition: The odds of an event occurring is the ratio of the number of ways the event can occur (successes) to the number of ways that the event cannot occur (failures). O(event)= successes failures What is the difference between odds and probability?

CLASSWORK ODDS Open books to page 710 #21-25 ODD Homework: Page 710 #1-26 (ALL)

(5.) Simple and (6.)Compound Events ** Simple Event: A single event Compound Event: Made up of two or more simple events

(7.) Independent and (8.) Dependent Events** Independent Events: A compound event in which the outcome of the 1st event does not affect the outcome of the 2nd event P(A and B) = P(A) * P(B) Dependent Event: A compound event in which the outcome of the 1st event affects the outcome of the 2nd event P(A and B) = P(A) * P(B following A)

Independent Events* Example 1: page 663 Check your progress 1: page 663

Dependent Events* Example 2a,b: page 664 Check your progress 2A,B: page 664

(9.) Mutually Exclusive and (10.) Inclusive** Mutually Exclusive Events: Events that cannot occur at the same time Example: rolling a ‘2’ or a ‘4’ Inclusive Events: Two events that can occur at the same time Example: Drawing an ‘Ace’ or a ‘Spade’

Mutually Exclusive Events* Example 3: page 665 Check your progress 3: page 665

Inclusive Events* Example 4: page 666 Check your progress 4: page 666

Classwork Page 677, #4 – 11 Homework: 12-4 Study Guide (Both Sides)