1. 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:

2. 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?

3. 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:

4. 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):

5. 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)

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

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

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