Statistics Simulations

A teacher wants to randomly choose 4 students to answer a series of questions. If there are 20 students in the classroom, describe a model that the teacher could use to simulate choosing these 4 students.

• rolling a number cube 20 times

• spinning a spinner with 20 sections 4 times

• flipping a coin 20 times

• rolling a number cube and flipping a coin 20 times

How could you simulate randomly choosing a place for lunch out of 6 different restaurants?

• flip a coin

• roll a die

• spin a 4-sided spinner

• flip 2 coins

There is an 8% chance that a random household in Virginia has a motorcycle. A student designs a simulation to approximate the probability of calling 3 households in Virginia in a row that have motorcycles. Which statement is true?

• The student can use a spinner divided into 8 equal sections and have 1 of the sections represent a household without a motorcycle and 7 of the sections represent a household with a motorcycle.

• The student can use a spinner divided into 8 equal sections and have 1 of the sections represent a household with a motorcycle and 7 of the sections represent a household without a motorcycle.

• The student can use a random number generator and assign numbers 1 and 2 to represent a household with a motorcycle and numbers 3 through 25 to represent a household without a motorcycle.

• The student can use a random number generator and assign numbers 1 and 2 to represent a household with a motorcycle and numbers 3 through 10 to represent a household without a motorcycle.

Match the following simulation that could be used to determine the probability for each scenario.

• Flip a coin

• Tony and Jay are arguing over who has to present in class. What is the probability Tony will have to present?

• Spin a 6 section spinner one time

• Lilliana, Tori, Joel, Logan, Nina, Jorge, Raul, and Aiden are all about to start a game of four square. They put their names in a hat to draw for who will start as King. What is the probability Joel will start as King?

• Roll an eight-sided number cube one time

• A baby has a bag full of different blocks. The blocks are shaped as spheres, cones, cubes, prisms, cylinders, and pyramids. What should be the probability that the baby will grab a cone shaped block first?

There is an 8% chance that a random household in Virginia has a motorcycle. A student designs a simulation to approximate the probability of calling 3 households in Virginia in a row that have motorcycles. Which statement is true?

• The student can use a spinner divided into 8 equal sections and have 1 of the sections represent a household without a motorcycle and 7 of the sections represent a household with a motorcycle.

• The student can use a spinner divided into 8 equal sections and have 1 of the sections represent a household with a motorcycle and 7 of the sections represent a household without a motorcycle.

• The student can use a random number generator and assign numbers 1 and 2 to represent a household with a motorcycle and numbers 3 through 25 to represent a household without a motorcycle.

• The student can use a random number generator and assign numbers 1 and 2 to represent a household with a motorcycle and numbers 3 through 10 to represent a household without a motorcycle.

Of all sixth graders, 70% sent a text message yesterday. Ten trials of a simulation are conducted and the data are recorded below.62072, 34570, 80983, 04292, 83150,36330, 96268, 14077, 77985, 13511The numbers 0 through 6 represent students who sent a text yesterday, and the numbers 7 through 9 represent students who did not send a text yesterday. Based on the simulated data, what is the probability that 3 or more of a group of 5 students randomly selected will send a text today?

Mathematical Equivalence

ON

Of all sixth graders, 70% sent a text message yesterday. Ten trials of a simulation are conducted and the data are recorded below.62072, 34570, 80983, 04292, 83150,36330, 96268, 14077, 77985, 13511The numbers 0 through 6 represent students who sent a text yesterday, and the numbers 7 through 9 represent students who did not send a text yesterday. Based on the simulated data, what is the probability that 3 or more of a group of 5 students randomly selected will send a text today?

Mathematical Equivalence

ON

Based on the results of this simulation, when 3 people are randomly selected, exactly 2 right-handed people are selected approximately ____% of the time.

• 20%

• 25%

• 18%

• 22%

An imitation of a chance behavior that uses a model that accurately represents the situation.

• Simulation

• Survey

• Experiment

• Observational Study

An experiment that is designed to reproduce the conditions of a situation or process

• Experimental probability

• Simulation

• Pi

• Sample