Name: _______________________
Probability – Simulations
1
Every student who volunteers at the concession
stand during basketball games will receive a free
school T-shirt. The T-shirts come in 3 different
designs.
Design a simulation that could be used to find
how many times a student must volunteer in order
to get all 3 T-shirts.
Date: _______
Class: Pre-Algebra
4
Sheet # 09-08
Luis plays goalie on his soccer team. He usually
stops 2 out of every 6 penalty kicks.
Part A: What is the theoretical probability of Luis stops
two penalty kicks in a row?
Answer _________
Part B: The spinner below was created in order to
determine experimental probabilities. Label the sections
on the spinner.
2
There is a 60% chance of rain for each of the next
two days. Describe a method you could use to find
the experimental probability of having rain on
both of the next two days.
Part C: Use the spinner to fill in the table below using
“G” for Goal and “S” for stop.
3
A local shop randomly gives coupons to 3 out of
every 8 customers.
Part A What is the theoretical probability of a customer
getting a coupon 2 days in a row?
Answer _________
Part B The following spinner
was created to simulate this
event. Use the spinner to
determine the experimental
probability that a customer
will receive a coupon two
days in a row.
Part D: What is the experimental probability of Luis
stops two penalty kicks in a row?
Answer _________
Part E: Explain how your results might change if you
simulated 100 trials instead of just 10.
Answer _________
5
65% of the trees in a national park house bird
nests.
Part A Based on the data, how many trees
would you expect to inspect in order to find 26
trees with bird nests?
8
When Devin plays Lucsczynski’s and Parrinello’s
basketball integer game, he usually makes 5 out of
every 6 shots.
Part A What is the theoretical probability of Devin
making 6 shots in a row?
Answer _________
Part B Design a simulation, using a number cube,
that can be used to determine the experimental
probability of Devin making 6 shots in a row.
Answer _________
Part B Describe a model you could use to find the
experimental probability of finding a tree with a
bird nest.
9
6
Players at a carnival game win about 30% of the
time. Describe a simulation you can create to
determine the probability that the next four
players win.
A
Rolling a number cube
B
Tossing a coin
C
Spinning a spinner with 3 equal sections
D
Spinning a spinner with 4 equal sections
10
7
Every student who participated in field day
activities received a water bottle. The water
bottles came in 2 different colors.
Part A Describe a simulation you can create to determine
how many students had to receive a water bottle in order
to distribute water bottles in both colors.
Vinny is practicing at the batting cages, He hits
the ball 12 out of 20 times. Suppose Vinny tries
50 more times. About how many times would you
expect him to hit the ball?
A
8
C
20
B
12
D
30
11
Part B Perform your simulation to determine how many
students had to receive a water bottle in order to
distribute water bottles in both colors.
Nicole has homework in language arts and
science. She randomly picks up one of the 2
homework folders. Which simulation could be
used to model the selection of one of the folders?
Claire tosses a coin and rolls a number cube 100
times. How many times should she expect to have
the coin show heads and roll a 1 or 2?
A
17
C
50
B
33
D
66
Name: _______________________
Probability – Simulations
Date: _______
Class: Pre-Algebra
Sheet # 09-09
Stanton has been practicing her volleyball serve
You randomly guess the answers to four
13 questions that have choices A, B, C, D, or E.
every day after school. She hits a good serve an
average of 3 out of 4 times.
Only one of the choices are correct.
Part A What is the theoretical probability that Stanton will Part A What is the theoretical probability that you can
hit two good serves in a row?
guess all five questions correctly?
12
Answer _________
Answer _________
Part B Describe a simulation you can create to determine
the experimental probability of Stanton hitting two good
serves in a row.
Part B Describe a simulation you can create to determine
the experimental probability of guessing all five questions
correctly.
Part C Use your simulation to perform 24 trials to
determine the experimental probability of Stanton hitting
two good serves in a row.
Part C Use your simulation to perform 24 trials to
determine the experimental probability of guessing all five
questions correctly.
Serve 1
Trial
Serve 2
Q1
1
Trial
Trial
2
Trial
2
Trial
3
Trial
3
Trial
4
Trial
4
Trial
5
Trial
5
Trial
6
Trial
6
7
Trial
7
8
9
Trial
Trial
1
8
Trial
Trial
9
Trial
Trial
10
Trial
11
Trial 10
Trial 11
Trial
12
Trial
13
Trial
14
Trial
15
Trial
16
Trial
17
Trial
18
Trial
19
Trial
20
Trial
21
Trial
22
Trial
23
Trial 22
Trial 23
Trial
24
Trial 24
Q2
Q3
Q4
Q5
Trial 12
Trial 13
Trial 14
Trial 15
Trial 16
Trial 17
Trial 18
Trial 19
Trial 20
Trial 21
Answer _________
Answer _________
14
A couple plans on having three children. The
gender of each child is equally likely.
Part A What is the theoretical probability that a couple
will receive 3 girls?
A baseball team wins 70% of its games.
Assuming this trend continues, design and use a
simulation to find the experimental probability
that the team wins the next four games.
Part A What is the theoretical probability that the team
wins the next four games?
15
Answer _________
Part B Describe a simulation you can create to determine
the experimental probability of a couple having 3 girls.
Part C Use your simulation to perform 24 trials to
determine the experimental probability of a couple having
3 girls.
Child 1
Trial
1
Trial
2
Trial
3
Trial
4
Trial
5
Trial
6
Trial
7
Trial
Trial
Trial
11
Trial
12
Trial
13
14
15
Trial
16
Trial
17
Trial
18
Trial
19
Trial
20
Trial
Trial
21
22
Trial
23
Trial
24
Part B Describe a simulation you can create to determine
the experimental probability of the team winning the next
four games.
Part C Use your simulation to perform 24 trials to
determine the experimental probability of the team
winning the next 4 games.
Game 1
9
10
Trial
Child 3
8
Trial
Trial
Child 2
Answer _________
Answer _________
Trial
1
Trial
2
Trial
3
Trial
4
Trial
5
Trial
6
Trial
7
Trial
8
Trial
9
Trial
10
Trial
11
Trial
12
Trial
13
Trial
14
Trial
15
Trial
16
Trial
17
Trial
18
Trial
19
Trial
20
Trial
21
Trial
22
Trial
23
Trial
24
Game 2
Game 3
Game 4
Answer _________