1. Lesson 9-2 Pages 374-377 Tree Diagrams Lesson Check 9-1

2. What you will learn! How to use tree diagrams to count outcomes and find probabilities.

3. Fair game Tree diagram Sample space

4. What you really need to know! A game in which players of equal skill have an equal chance of winning is a fair game. A tree diagram is used to show all of the possible outcomes, or sample space, in a probability experiment.

5. Link to Pre-Made Lesson

6. Example 1: Tom flips two coins. Draw a tree diagram to show the sample space of how the coins can land. Then determine the probability of flipping two tails.

7. First Coin H T H T T H HH HT TH TT Second Coin Sample Space

8. The probability of flipping two tails is:

9. Choices x Choices = Number of outcomes 2 x 2 = 4 possibilities Example 1: Method 2

10. Example 2: An ice cream sundae at the Ice Cream Shoppe is made from one flavor of ice cream and one topping. For ice cream flavors, you can choose from chocolate, vanilla, and strawberry.

11. Example 2: For toppings you can have hot fudge, butterscotch, or marshmallow. Find the number of different sundaes that are possible.

12. Ice Cream 9 possibilities ! C V S FB M F B M F B MSM CF CB CM VF VB VM SF SBTopping Sample Space

13. Choices x Choices = Number of outcomes 3 x 3 = 9 possibilities Example 2: Method 2

14. Example 3: If you are given a sundae at random from the shop in the previous problem, what is the probability that it has vanilla ice cream?

15. Ice Cream Topping Sample Space 9 possibilities ! C V S FB M F B M F B MSM CF CB CM VF VB VM SF SB

16. Example 3: If you are given a sundae at random from the shop in the previous problem, what is the probability that it has vanilla ice cream?

17. Page 376 Guided Practice #’s 3-6

19. Pages 374-375 with someone at home and study examples! Read:

20. Homework: Page 376-377 #’s 7-19 all #’s 23-33 Lesson Check 9-2 THQ 9-1/9-2 Tree Diagrams

24. Page 585 Lesson 9-2

25. Lesson Check 9-2

37. Example 1: A family has two children. Draw a tree diagram to show the sample space of the children’s genders. Then determine the probability of the family having two girls.

38. First Child Second Child Sample Space B G B G BB BG GB GG B G

39. The probability of having two girls is:

40. THQ 9-1 to 9-2 Tree Diagrams

41. Y R B G R B G Y B G Y R G Y R B B G R G R B B G Y G Y B R G Y G Y R R B Y B Y R G B G R B R G B G Y B Y G R G Y R Y B R B Y R Y YRBG YRGB YBRG YBGR YGRB YGBR RYBG RYGB RBYG RBGY RGYB RGBY BYRG BYGR BRYG BRGY BGYR BGRY GYRB GYBR GRYB GRBY GBYR GBRY # 4

42. R BCAR1CAR2 CAR3 CAR4 CAR1 CAR2 CAR3 CAR4 R CAR1 R CAR2 R CAR3 R CAR4 B CAR1 B CAR2 B CAR3 B CAR4 # 5