Name: _________________________
7th /Honors Grade Mathematics
Date: ______________
Mrs. Mazzarella/Mrs. Sammon
13-2 Theoretical Probability of Compound Events: Pages 405-410
Essential Question: How do you find the probability of a compound event?
Page 405 Explore Activity 1: Real World
Page 408 Guided Practice #1-3
Page 409 Independent Practice #14
Page 406 Example 1 Real World
TREE DIAGRAM:
Page 408 Guided Practice # 4-8
Page 409 Independent Practice # 10-13, 15-18
Page 407 Example 2 Real World
Could We Have Also Done a Tree Diagram?
Page 410 Independent Practice # 10-13, 15-18
Name __________________________________________ Date __________
7 Honors Mathematics
Mrs. Mazzarella
Class Notes: Fundamental Counting Principle
Aim: How do we use the Fundamental Counting Principle to solve problems?
Do Now:
1.) How many possible outcomes are there when you flip a coin? ___________
2.) What is P(tails) when you flip a coin? _____________
3.)
NYS PREP QUESTION
The distance from the floor to the bottom of a framed painting is 3 ¼ feet. The height of the painting is 9/10 foot.
The distance from the top of the painting to the ceiling is 3 ½ feet. What is the total height from the floor to the
ceiling?
Whole Group Instruction:
-GUIDED INSTRUCTION Theoretical Probability is what should happen when conducting an experiment.
 A compound event consists of two or more simple events.
 A sample space is the set of all the possible outcomes in a probability experiment.
1.) Give the sample space for flipping a dime and a nickel at the same time.
(Tree Diagram or List)
2.) Calculate P(tails, tails).
P(tails nickel)
P(tails dime)
P(tails nickel, tails dime)
=
___________
___________
___________
Fundamental Counting Principle
If the first event has n possible outcomes and the second event has m
possible outcomes, then the first event followed by the second event has n ×
3.) Give the sample space for flipping a quarter and rolling a die. (Tree Diagram or List)
4.) Use the Fundamental Counting Principle to determine how many different outcomes there are when flipping a
quarter and rolling a die.
5.) What is P(heads, 5)?
6.) What is P(heads, even)?
7.) What is P(tails, n ≤ 6)?
8.) Create a sample space for flipping a dime, nickel, and a penny at once. Use a tree diagram or make a
list.
9.) Use the Fundamental Counting Principle to determine how many different outcomes there are when flipping a
dime, nickel, and a penny all at once.
10.) What is P(Tails, Tails, Tails)?
Small Class Instruction/Independent Practice/You TRY!
1.) Two dice are rolled at the same time.
a.) Use the Fundamental Counting Principle to determine how many different outcomes there are.
If two dice are rolled at the same time, what is probability of:
b.) P(1, 1)?
c.) P(even, even)?
d.) P(not 1, not 1)?
2.) A pizzeria sells two different style pizzas with five different options for toppings.
Style
Regular (R)
Sicilian (S)
Toppings
Pepperoni (P)
Chicken (C)
Mushrooms (M)
Broccoli (B)
Spinach (S)
a.) Use the Fundamental Counting Principle to determine how many possible combinations there are
containing one style and one topping.
b.) Prove your response to the previous question by creating a sample space of all possible combinations
containing one style and one topping. Use the initials to create the sample space
If a combination of one style and one topping is chosen at random, what is:
c.) P(Regular, Chicken)?
d.) P(Sicilian, Vegetable Topping)?
3.) A bagel shop sells the following types of bagels: plain, sesame, poppy, egg, everything, and cinnamonraisin. Any bagel can be ordered with butter, cream cheese, or jelly.
Use the Fundamental Counting Principle to determine how many different combinations can be made
consisting of one bagel and one spread.
***4.) An ATM personal identification number (PIN) consists of 4 digits. A customer has 10 options (0-9) for
each of the 4 digits.
Use the Fundamental Counting Principle to determine how many possible combinations there are when
creating an ATM PIN.
NYS Test Prep Examples:
1.) What is the value of the following expression?
4
2
3
5
− (− +
5
10
)
2.) A hamster on a wheel was tracked as running
hour?
3
10
mile in
1
4
hour. What was the hamster’s speed in miles per
Name __________________________________________ Date __________
7 Honors Mathematics
Mrs. Mazzarella
HOMEWORK: Fundamental Counting Principle
Aim: How do we use the Fundamental Counting Principle to solve problems?
1.) At Tough Luck Middle School, students have no choice at all as to what they get for lunch. They will either get
a turkey (T), ham (H), or vegetarian (V) sandwich and a bottle of juice (J) or milk (M).
a.) Use the initials to create a sample space of all possible combinations containing one sandwich and one
drink. Use a tree diagram or make a list.
b.) Luke wants juice and doesn’t want a vegetarian sandwich. If all combinations are equally likely to be served,
what is the probability that Luke gets what he wants?
2.) A fast food restaurant sells extra value meals with 5 different sandwich choices, with 2 different French-fries sizes,
5 different drink flavors and 2 different drink sizes. Use the Fundamental Counting Principle to determine how
many different combinations there are.
3.) A restaurant offers a promotion which allows you to choose one appetizer, one entrée, and one dessert. Look
at the menu below and use the Fundamental Counting Principle to find the number of combinations that can
be created choosing one appetizer, one entrée, and one dessert.