7.5.B.10 - Conducting a Simulation to Estimate the Probability of an Event – Exit Ticket
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2 Questions
10
1.
Nathan is your school’s star soccer player. When he takes a shot on goal he
typically scores half of the time. Suppose that he takes six shots in a game. To
estimate the probability of the number of goals Nathan makes, use simulation
with a number cube. One roll of a number cube represents one shot.
a. Specify what outcome of a number cube you want to represent a goal scored by
Nathan in one shot.
b. For this problem, what represents a trial of taking six shots?
c. Perform and list the results of ten trials of this simulation.
d. Identify the number of goals Nathan made in each of the ten trials you did in
part (c).
e. Based on your ten trials, what is your estimate of the probability that
Nathan scores three goals if he takes six shots in a game?
Nathan is your school’s star soccer player. When he takes a shot on goal he
typically scores half of the time. Suppose that he takes six shots in a game. To
estimate the probability of the number of goals Nathan makes, use simulation
with a number cube. One roll of a number cube represents one shot.
a. Specify what outcome of a number cube you want to represent a goal scored by
Nathan in one shot.
b. For this problem, what represents a trial of taking six shots?
c. Perform and list the results of ten trials of this simulation.
d. Identify the number of goals Nathan made in each of the ten trials you did in
part (c).
e. Based on your ten trials, what is your estimate of the probability that
Nathan scores three goals if he takes six shots in a game?
10
2.
Suppose that Pat scores 40% of the shots he takes in a soccer game. If he takes
six shots in a game, what would one simulated trial look like using a number
cube in your simulation?
Suppose that Pat scores 40% of the shots he takes in a soccer game. If he takes
six shots in a game, what would one simulated trial look like using a number
cube in your simulation?
From EngageNY.org of the New York State Education Department. Grade 7 Mathematics Module 5, Topic B, Lesson 10. Internet. Available from https://www.engageny.org/resource/grade-7-mathemat...; accessed 8/Apr/2016.