10-9 Probability of Compound Events Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

10-9 Probability of Compound Events Math Journal (5 Min) Each student will be given the title of the lesson that will be taught that day. They must then, at the beginning of class, write 3 statements that they already know about the lesson being presented, 2 questions that they have before the lesson is presented, and 1 connection that they feel can be made between what they already know and what they think they will be taught in the new lesson before they have been taught the lesson, and at the end of class, write 3 statements that they now know about the lesson being presented, answer the 2 questions that they had written previously, and 1 connection that they now know can be made between what they knew before the lesson and what they now know after they have been taught the lesson. Then, each student will discuss his/her answers within their group. Finally, to leave class, each student will have to give/write 1 statement or connection that pertained to the lesson.

10-9 Probability of Compound Events Homework Review (5 Min)

10-9 Probability of Compound Events Warm Up 1. Five friends form a basketball team. How many different ways could they fill the 5 positions on the team? 2. The music teacher chooses 2 of her 5 students to sing a duet. How many combinations for the duet are possible? 5!, or

10-9 Probability of Compound Events Problem of the Day One blue sock and 7 black socks are placed in a drawer, then picked randomly one at a time without replacement. What is the probability that the blue sock is picked last? 1818

10-9 Probability of Compound Events Textbook Examples (I Do) (5 Min)

10-9 Probability of Compound Events Learn to find probabilities of compound events.

10-9 Probability of Compound Events A pizza parlor offers seven different pizza toppings: pineapple, mushrooms, Canadian bacon, onions, pepperoni, beef, and sausage. What is the probability that a random order for a two-topping pizza includes pepperoni? Additional Example 1: Using an Organized List to Find Probability Let p = pineapple, m = mushrooms, c = Canadian bacon, o = onions, pe = pepperoni, b = beef, and s = sausage. Because the order of the toppings does not matter, you can eliminate repeated pairs.

10-9 Probability of Compound Events Pineapple – mMushroom – p Canadian bacon – p Pineapple – cMushroom – cCanadian bacon – m Pineapple – o Mushroom – o Canadian bacon – o Pineapple – peMushroom – peCanadian bacon – pe Pineapple – bMushroom – bCanadian bacon – b Pineapple – sMushroom – sCanadian bacon – s Onions – pPepperoni –p Beef – pSausage – p Onions – mPepperoni – m Beef – mSausage – m Onions – cPepperoni – cBeef – cSausage – c Onions – pePepperoni – oBeef – oSausage – o Onions – bPepperoni – bBeef – peSausage – b Onions – sPepperoni – sBeef – sSausage – pe Continued: Check It Out: Example 1 The probability that a random two-topping order will include pepperoni is. 2 7 P (pe) ==

10-9 Probability of Compound Events Check It Out: Example 1 A pizza parlor offers seven different pizza toppings: pineapple, mushrooms, Canadian bacon, onions, pepperoni, beef, and sausage. What is the probability that a random order for a two-topping pizza includes onion and sausage? Let p = pineapple, m = mushrooms, c = Canadian bacon, o = onions, pe = pepperoni, b = beef, and s = sausage. Because the order of the toppings does not matter, you can eliminate repeated pairs.

10-9 Probability of Compound Events Pineapple – mMushroom – p Canadian bacon – p Pineapple – cMushroom – cCanadian bacon – m Pineapple – o Mushroom – o Canadian bacon – o Pineapple – peMushroom – peCanadian bacon – pe Pineapple – bMushroom – bCanadian bacon – b Pineapple – sMushroom – sCanadian bacon – s Onions – pPepperoni –p Beef – pSausage – p Onions – mPepperoni – m Beef – mSausage – m Onions – cPepperoni – cBeef – cSausage – c Onions – pePepperoni – oBeef – oSausage – o Onions – bPepperoni – bBeef – peSausage – b Onions – sPepperoni – sBeef – sSausage – pe P (o & s) = 1 21 The probability that a random two-topping order will include onions and sausage is Continued: Check It Out: Example 1

10-9 Probability of Compound Events Jack, Kate, and Linda line up in random order in the cafeteria. What is the probability that Kate randomly lines up between Jack and Linda? Additional Example 2: Using a Tree Diagram to Find Probability Make a tree diagram showing possible line-up orders. Let J = Jack, K = Kate, and L = Linda. List permutations beginning with Jack. List permutations beginning with Kate. List permutations beginning with Linda. K  L = JKL L  K = JLK J L  J = KLJ K J  L = KJL K  J = LKJ L J  K = LJK

10-9 Probability of Compound Events Additional Example 2: Continued The probability that Kate lines up between Jack and Linda is. 1 3 P (Kate is in the middle) = Kate lines up in the middle total number of equally likely line-ups = =

10-9 Probability of Compound Events Jack, Kate, and Linda line up in random order in the cafeteria. What is the probability that Kate randomly lines up last? Check It Out : Example 2 Make a tree diagram showing possible line-up orders. Let J = Jack, K = Kate, and L = Linda. List permutations beginning with Jack. List permutations beginning with Kate. List permutations beginning with Linda. K  L = JKL L  K = JLK J L  J = KLJ K J  L = KJL K  J = LKJ L J  K = LJK

10-9 Probability of Compound Events = P (Kate is last) = Kate lines up last total number of equally likely line-ups = The probability that Kate lines up last is. 1 3 Check It Out : Example 2 (Continued)

10-9 Probability of Compound Events Mika rolls 2 number cubes. What is the probability that the sum of the two numbers will be less than 4? Additional Example 3: Finding the Probability of Compound Events There are 3 out of 36 possible outcomes that have a sum less than 4. The probability of rolling a sum less than 4 is. 1 12

10-9 Probability of Compound Events Mika rolls 2 number cubes. What is the probability that the sum of the two numbers will be less than or equal to 4? Check It Out: Example 3 There are 6 out of 36 possible outcomes that have a sum less than or equal to 4. The probability of rolling a sum less than or equal to 4 is. 1 6

10-9 Probability of Compound Events Class work Problems (We Do) (10 Min) Pg (1-5)

10-9 Probability of Compound Events

10-9 Probability of Compound Events

10-9 Probability of Compound Events Small Group CW(Yall Do) (10 Min) Pg (6-16 EOE)

10-9 Probability of Compound Events

10-9 Probability of Compound Events

10-9 Probability of Compound Events

10-9 Probability of Compound Events

10-9 Probability of Compound Events

10-9 Probability of Compound Events

10-9 Probability of Compound Events

10-9 Probability of Compound Events

10-9 Probability of Compound Events

10-9 Probability of Compound Events Homework (You Do) (10 Min) Pg (7, 9, 11, 13, 15 odd)

10-9 Probability of Compound Events Math Journal (5 Min) Each student will be given the title of the lesson that will be taught that day. They must then, at the beginning of class, write 3 statements that they already know about the lesson being presented, 2 questions that they have before the lesson is presented, and 1 connection that they feel can be made between what they already know and what they think they will be taught in the new lesson before they have been taught the lesson, and at the end of class, write 3 statements that they now know about the lesson being presented, answer the 2 questions that they had written previously, and 1 connection that they now know can be made between what they knew before the lesson and what they now know after they have been taught the lesson. Then, each student will discuss his/her answers within their group. Finally, to leave class, each student will have to give/write 1 statement or connection that pertained to the lesson.

10-9 Probability of Compound Events Lesson Quizzes Lesson Quiz for Student Response Systems Standard Lesson Quiz

10-9 Probability of Compound Events Lesson Quiz 1. The teacher randomly chooses two school days each week to give quizzes. What is the probability that he or she chooses Monday and Wednesday? 2. A bag contains three red checkers and three black checkers. Two checkers are randomly pulled out. What is the probability that 1 red checker and 1 black checker are chosen? 3. A baseball video game randomly assigns positions to 9 players. What is the probability that Lou, Manny, and Neil will be randomly selected for the three-member outfield?

10-9 Probability of Compound Events 1. Two number cubes are rolled. What is the probability that the sum of the two numbers will be 1? A. B. C. D. Lesson Quiz for Student Response Systems 0 1

10-9 Probability of Compound Events 2. Two number cubes are rolled. What is the probability that the sum of the two numbers will be 6? A. 0 B. 1 C. D. Lesson Quiz for Student Response Systems

10-9 Probability of Compound Events 3. Two number cubes are rolled. What is the probability that the sum of the two numbers will be 11? A. 0 B. 1 C. D. Lesson Quiz for Student Response Systems