Probability Simulationsclass: Pre-Algebra
Name: ______Date: ______
Probability – SimulationsClass: Pre-Algebra
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.
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.
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. /
Answer ______/ 4 / 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.
Part C: Use the spinner to fill in the table below using “G” for Goal and “S” for stop.
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.
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?
Answer ______
Part B Describe a model you could use to find the experimental probability of finding a tree with a bird nest.
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.
7 / Every student who participated in field day activities received a water bottle. The water bottles came in 2 different colors.
Part ADescribe 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.
Part BPerform your simulation to determine how many students had to receive a water bottle in order to distribute water bottles in both colors. / 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.
9 / 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?
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 / 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 / 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
Sheet # 09-09
Name: ______Date: ______
Probability – SimulationsClass: Pre-Algebra
12 / Stanton has been practicing her volleyball serve every day after school. She hits a good serve an average of 3 out of 4 times.Part A What is the theoretical probability that Stanton will hit two good serves in a row?
Answer ______
Part BDescribe a simulation you can create 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 Stanton hitting two good serves in a row.
Serve 1 / Serve 2
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Answer ______/ 13 / You randomly guess the answers to four questions that have choices A, B, C, D, or E. Only one of the choices are correct.
Part A What is the theoretical probability that you can guess all five questions correctly?
Answer ______
Part BDescribe 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 guessing all five questions correctly.
Q1 / Q2 / Q3 / Q4 / Q5
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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?
Answer ______
Part BDescribe 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 / Child 2 / Child 3
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Answer ______/ 15 / 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?
Answer ______
Part BDescribe 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 / Game 2 / Game 3 / Game 4
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Answer ______