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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

1/2/2008 Math 2a
1. HOMEWORK Due today: None
2. Warm-Ups: Measure Drill
3. Page 22 Problem 2.1 all

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 22 Problem 2.1 all - Game based on the sums of pairs of rolled number cubes - assess the probability and fairness of the game. NOTES: HOMEWORK: Pp24-25 1-5

Simulated Experimental Dice-Roll Data (2 dice)

Roll how many sets of 2 Dice?

The results of the dice rolls will appear in a pop-up window. If you have pop-ups disabled, you might have to check to see if another window opened in the background.

©Jeff LeMieux, 2002

1/3/2008 Math 2a
1. HOMEWORK Due today: Pp24-25 1-5
2. Warm-Ups: Measure Drill
3. Page 23 Problem 2.2 all

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 23 Problem 2.2 all - playing the multiplication game - the probabilities of products of two number cubes; fair game. NOTES: HOMEWORK: P25 6 and 7

1/4/2008 Math 2a
1. HOMEWORK Due today: P25 6 and 7
2. Warm-Ups: Measure Drill
3. Proportion drills
4. Pp26-27 11-15

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: Pp26-27 11-15 - dealing with determining theoretical or experimental probability. NOTES: HOMEWORK: Page 28 #17