Name: _________________________
7th /Honors Grade Mathematics
Date: ______________
Mrs. Mazzarella/Mrs. Sammon
13-4 Using Technology to Conduct a Simulation: Pages 417-422
Essential Question: How do you use technology simulations to estimate probabilities?
Page 417 Example 1: Real World
Page 418 Example 2: Real World
Page 420 Guided Practice
Page 421 Independent Practice
LESSON
13-3
Making Predictions with Theoretical Probability
Practice and Problem Solving: D
Find the probability of each event. The first one is done for you.
1. Arjan flips a quarter. What is the
probability of the quarter landing tails up?
1
2
_______________________________________
3. What is the probability of spinning this
spinner and having it land on B?
_______________________________________
E
A
2. Stephanie rolls a number cube that has
sides numbered from 1 to 6. What is the
probability of the cube landing on either
2 or 5?
________________________________________
4. Jonathan has a bag that has 2 red
marbles and 3 blue marbles inside of it.
If you were to pick one marble from the
bag without looking, what is the
probability of picking a red marble?
B
D
C
________________________________________
Make a prediction based on a theoretical probability. Show your work.
The first one is done for you.
5. The probability of flipping a coin and
1
having it land on heads is . If a coin is
2
tossed 4 times, how many times can you
expect it to land on heads?
1
1 4
4
4  

2
2
2 1
2
_______________________________________
7. The probability of a number cube landing
1
on 4 is . If a number cube is tossed
6
12 times, how many times can it be
expected to land on 4?
_______________________________________
6. A spinner is divided into 4 equal sections.
1
The probability of landing on A is .
4
Norma spins the spinner 16 times. How
many times can she expect the spinner to
land on A?
________________________________________
8. The probability of picking a blue pen from
1
a cup of pens is . Tim picks one pen
3
from the cup without looking, records
the color, and puts the pen back. He
does this 15 times. How many times
can he expect him to pick a blue pen?
________________________________________
Name _______________________________________ Date __________________ Class __________________
Probability
LESSON LESSON
13-3 13-3
Reteach
Predictions are thoughtful guesses about what will happen.
You can create an “outcome tree” to keep track of outcomes.
Sally is going to roll a number cube 21 times.
She wants to know how many times she can expect to roll a 1 or 4.
There are a total of 6 outcomes.
Of these, two outcomes (1 and 4) are desirable.
Use probability to predict the number of times Sally would roll a 1 or 4.
P (1 or 4) 
number of desirable outcomes 2 1
 
number of possible outcomes 6 3
Set up a proportion relating the probability to the number of tries.
1 x

3 21
3x  21
Cross-multiply.
x 7
Simplify.
In 21 tries, Sally can expect to roll seven 1s or 4s.
For each odd-numbered question, find the theoretical probability.
Use that probability to make a prediction in the even-numbered
question that follows it.
1. Sandra flips a coin. What is the probability
that the coin will land on tails?
2. Sandra flips the coin 20 times. How many
times can Sandra expect the coin to land
on tails?
_________________________________________
_________________________________________
3. A spinner is divided into four equal sections
labeled 1 to 4. What is the probability that
the spinner will land on 2?
4. If the spinner is spun 80 times, how often
can you expect it to land on 2?
_________________________________________
_________________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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Name _______________________________________
Date __________________ Class _________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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