September 13, 2010

BELLRINGER (which was confusing)

Create a tree diagram given 2 archers Li and Yuka. Li has a 3/4 probability of hitting. Yuka has a 4/5 probability of hitting. Show all possible outcomes for each making two shots at target.

SOLUTION:

H STANDS FOR HIT

M STANDS FOR MISS

LI

/ \

3/4 H 1/4 M

/ \ / \

4/5 H 1/5 M 4/5 H 1/5 M

/ \ / \ / \ / \

3/4 H 1/4 M 3/4 H 1/4 M 3/4 H 1/4 M 3/4 H 1/4 M

/ \ / \ / \ / \ / \ / \ / \ / \

4/5H 1/5M 4/5H 1/5M 4/5H 1/5M 4/5H 1/5M 4/5H 1/5M 4/5H 1/5M 4/5H 1/5M 4/5H 1/5M

Possible Outcomes: (Start left, work your way down)

When Li First Hits it

1. 3*4*3*4 = 144/400 (H,H,H,H)

2. 3*4*3*1 = 36/400 (H,H,H,M)

3. 3*4*1*4 = 48/400 (H,H,M,H)

4. 3*4*1*1 = 12/400 (H,H,M,M)

5. 3*1*3*4 = 36/400 (H,M,H,H)

6. 3*1*3*1 = 9/400 (H,M,H,M)

7. 3*1*1*4 = 12/400 (H,M,M,H)

8. 3*1*1*1 = 3/400 (H,M,M,M)

When Li First Misses

9. 1*4*3*4 = 48/400 (M,H,H,H)

10. 1*4*3*1 = 12/400 (M,H,H,M)

11. 1*4*1*4 = 16/400 (M,H,M,H)

12. 1*4*1*1 = 4/400 (M,H,M,M)

13. 1*1*3*4 = 12/400 (M,M,H,H)

14. 1*1*3*1 = 3/400 (M,M,H,M)

15. 1*1*1*4 = 4/400 (M,M,M,H)

16. 1*1*1*1 = 1/400 (M,M,M,M)

AGENDA

I. Bell Ringer

II. Sample Space

III. Independent vs Dependent Events

OBJECTIVE

Students will be able to use tree diagrams to show sample space and define independent and Dependent Events

HOMEWORK

IB Math Studies Book Page 488 #s 9, 10 , 11

Question to Answer (if you want, remember you have to answer 2 each week)

Lucia goes to lunch. She can either choose white or chocolate milk. And for the snack she can choose between chocolate and sugar cookies. List ALL of her possible outcomes.

Just a fun question, which combination would you pick and why?

:) . This took forever, i hope you guys understand and enjoy. see you guys i have to go now.