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Mutually Exclusive vs. Independent vs. Complementary

Mutually Exclusive Events	If event A happens, then event B cannot, or vice-versa.
Independent Events	The outcome of event A has no effect on the outcome of event B.
Complementary Events	If the two events are the only possible outcomes, they are complementary. The outcome is either A or B only.
If A and B are mutually exclusive, they cannot be independent. Flip heads/Flip tails If A and B are independent, they cannot be mutually exclusive. Roll a 3/Flip tails If A and B are complementary, they cannot be independent. Flip heads/Flip tails either-or If A and B are complementary, they are mutually exclusive Flip heads OR Flip tails

Probability Terms

12-4-2006 Math 2 
1. Page 50 Problem 5.1 Model
2. Warm-Ups: Multiplication reviews

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials ACTIVITIES/ASSESSMENT: Page 50 Problem 5.1 Model this assignment for both 1 and 1 and 2 shots. NOTES: HOMEWORK: P55 #7

12-5-2006 Math 2 
1. HOMEWORK Due today: P55 #7
2. Warm-Ups: Multiplication reviews
3. Page 59 Problem 6.1 a/b/c

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials ACTIVITIES/ASSESSMENT: Page 59 Problem 6.1 a/b/c: Play the game, collect the data required. Students will then attempt models to determine the theoretical probability of both games. Results should be pictorial with a math background - guessing or simple counts will not be counted as solutions. NOTES: HOMEWORK: Page 64 #2

12-6-2006 Math 2 
1. HOMEWORK Due today: Page 64 #2
2. Warm-Ups: Multiplication reviews
3. Finish 6.1 with appropriate models
4. P60 problem 6.2 a and b only

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials ACTIVITIES/ASSESSMENT: Do problem 6.2 demonstrating how to calculate the theoretical probability of winning NOTES: HOMEWORK: P65 #5a List the angles and the probability.

The Protractor

12-7-2006 Math 2  
1. HOMEWORK Due today: P65 #5a List the angles and the probability
2. Warm-Ups: Multiplication reviews
3. Page 62 - Make area models

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials ACTIVITIES/ASSESSMENT: Page 62 - Make area models to determine the probabilities of landing in a or b. Math must be included. Area models must be based on unit squares. NOTES: HOMEWORK: Page 65 4a (protractor required)

12-8-2006 Math 2
1. HOMEWORK Due today: Page 65 4a (protractor required)
2. Warm-Ups: Multiplication reviews Test
3. Credit Retrieval
4. Area modeling

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials ACTIVITIES/ASSESSMENT: Credit Retrieval Session - Assignments as per progress Report. Area modeling will be based on having students create area models and probabilities for specified activities. NOTES: HOMEWORK: None