1.1 Check Your Understanding

Last updated almost 3 years ago

7 questions

15

12.5

15

What is a simulation and how can it be useful?

A simulation is a way to sample from a large population. It can be useful when you are unable to reach everyone in the population for a census.

A simulation is small animal that lives in Antarctica. They are useful for their fur and blubber. They are near extinction due to overhunting. 

A simulation is a method to graph data after an experiment. It can be used to represent outcomes from the experiment.

A simulation is a way to model random events in a way that the outcomes closely match the real world outcomes.  This can help us to create a model to represent the probability of a given claim.

Mr. Esra has flipped a coin 200 times and the coin has landed on heads 50 times. What is the experimental probability of his coin landing on heads?

Mr. Esra has flipped a coin 200 times and the coin has landed on heads 50 times. What is the true probability of his coin landing on heads?

While playing Mario Cart, Mrs. Nicewonger has earned 1st place in 43 of the last 72 races. She wants to share her probability of finishing a Mario Cart Race in 1st place with a local reporter. Which of the following would be the most appropriate way for her to communicate this probability?

43:29

Some people have wondered if the Wheel of Fortune wheel is fair. If it is fair, the “Bankrupt” result should occur with probability 1/9. To test the wheel, Pat Sajak observed a random sample of 50 spins of the wheel and found that “Bankrupt” was spun 10 times. Is this convincing evidence that Bankrupt comes up more often than it should?

Describe how you would carry out a simulation to estimate the probability that in a fair wheel, Bankrupt comes up 10 or more times.

Explain what the one dot above 12 indicates.

In one simulation of 50 spins of the wheel, there were 12 Bankrupts.

12 of the 100 trials had a Bankrupt happen.

12 of the 50 spins had a Bankrupt happen.

The player would get a Bankrupt every 12th spin of the Wheel.

What conclusion would you draw about 10 or more Bankrupt spins occurring in 50 spins?

There is a 4% probability of getting 10 or more Bankrupts in 50 spins.

A player is certain to get 10 or more Bankrupt spins in 50 spins.

It is impossible for a player to get 10 or more Bankrupt spins in 50 spins. 

There is a 12% probability of getting 10 or more Bankrupts in 50 spins.

There is a 24% probability of getting 10 or more Bankrupts in 50 spins.

What is a simulation and how can it be useful? 

A simulation is a way to sample from a large population. It can be useful when you are unable to reach everyone in the population for a census.

A simulation is small animal that lives in Antarctica. They are useful for their fur and blubber. They are near extinction due to overhunting. 

A simulation is a method to graph data after an experiment. It can be used to represent outcomes from the experiment.

A simulation is a way to model random events in a way that the outcomes closely match the real world outcomes.  This can help us to create a model to represent the probability of a given claim.

Mr. Esra has flipped a coin 200 times and the coin has landed on heads 50 times. What is the experimental probability of his coin landing on heads?

Impossible to calculate

0

1

Mr. Esra has flipped a coin 200 times and the coin has landed on heads 50 times. What is the true probability of his coin landing on heads?

Impossible to calculate

1

0

While playing Mario Cart, Mrs. Nicewonger has earned 1st place in 43 of the last 72 races. She wants to share her probability of finishing a Mario Cart Race in 1st place with a local reporter. Which of the following would be the most appropriate way for her to communicate this probability?

43:29

Explain what the one dot above 12 indicates.

In one simulation of 50 spins of the wheel, there were 12 Bankrupts.

12 of the 100 trials had a Bankrupt happen.

12 of the 50 spins had a Bankrupt happen.

The player would get a Bankrupt every 12th spin of the Wheel.

What conclusion would you draw about 10 or more Bankrupt spins occurring in 50 spins? 

There is a 4% probability of getting 10 or more Bankrupts in 50 spins.

A player is certain to get 10 or more Bankrupt spins in 50 spins.

It is impossible for a player to get 10 or more Bankrupt spins in 50 spins. 

There is a 12% probability of getting 10 or more Bankrupts in 50 spins.

There is a 24% probability of getting 10 or more Bankrupts in 50 spins.