DATE: ______/_______/_______ Math-7 NOTES DATE: ______/_______/_______ What: probability of compound events Why: To create and analyze tree diagrams; discover and use the fundamental counting principle; and use multiplication to calculate compound probability. NAME: Compound Probability involves MORE than one event! Vocabulary: Tree Diagram– shows all the possible _______________________ of an event. Fundamental Counting Principle– used to determine the total possible ____________ (or outcomes) when combining groups of items. Tree Diagrams: Tossing Two Coins: Tossing Three Coins:

3) Tossing One Coin and One Number Cube: 4) Choosing a Sundae with the following choices (may only choose one from each category): Chocolate or Vanilla Ice cream Fudge or Caramel Sauce Sprinkles, Nuts, or Cherry Is there a shortcut?

Fundamental Counting Principle (How Many Unique Outcomes?): Tossing Two Coins: Tossing Three Coins: The letters A, B, C, D, E, and F can be used to make a four-letter code for a lock. Each letter can be used more than once. What is the total number of four-letter codes that can be created with these choices? The total unique locker combinations for a four-digit locker code (using the digits 1 – 9): Choosing from 12 types of entrees, 6 types of side dishes, 8 types of beverages, and 5 types of desserts: 3) Tossing One Coin and One Number Cube: Combining a vowel from the word CALENDAR and a consonant from the word MISSISSIPPI: Choosing from three types of pants, four types of shirts, and four types of hats:

PROBABILITY TRIALS Trial One: Rolling Two Number Cubes After 20 trials, how many times will doubles occur --P(Doubles)? -How many total outcomes? ________ -Theoretical Probability (what should happen): -Experimental Probability (results): 2) Trial Two: Rolling a Number Cube and Tossing a Coin After 20 trials, how many times will Heads and a # less than 3 occur– P (H and # less than 3)? -How many total outcomes? ________ -Theoretical Probability (what should happen): -Experimental Probability (results):

Compound Probability sample questions: When two coins are tossed, what is the probability of both coins landing on heads – P (H and H)? 2) When a number cube is rolled and the spinner shown is spun, what is the probability of landing on an even # and Orange– P(even # and Orange) ? 3) A card is drawn from a standard deck of cards and a letter is picked from a bag containing the letters M-A-T-H-E-M-A-T-I-C-S: a) P(Ace and a vowel) ? b) P(Red card and a “T”) A bag contains 3 grape, 4 orange, 6 cherry, and 2 chocolate tootsie pops. Once a pop is picked, it is placed back into the bag: a) P(grape , then cherry) b) P(two oranges in a row) c) P(chocolate , then orange)

DATE: ______/_______/_______ Math-7 classwork “probability of compound events” DATE: ______/_______/_______ NAME:_____________________________________________________________________________ D. Using the above table, what is the probability of rolling doubles?

DATE: ______/_______/_______ Math-7 practice “probability of compound events” DATE: ______/_______/_______ NAME:_____________________________________________________________________________

DATE: ______/_______/_______ Math-7 practice “probability of compound events” DATE: ______/_______/_______ NAME:_____________________________________________________________________________