IM 7.8.6 Lesson: Estimating Probabilities Using Simulation

Which spinner doesn't belong?[br][br][img]data:image/png;base64,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[/img]
Your teacher will give your group the supplies for one of the three different simulations. Follow these instructions to simulate 15 days of Diego’s walk. The first 3 days have been done for you.
[list][*]Simulate one day:[br][list][*]If your group gets a bag of papers, reach into the bag, and select one paper without looking inside.[br][/*][*]If your group gets a spinner, spin the spinner, and see where it stops.[br][/*][*]If your group gets two number cubes, roll both cubes, and add the numbers that land face up. A sum of 2–8 means Diego has to wait.[br][/*][/list][/*][/list][br][list][*]Record in the table whether or not Diego had to wait more than 1 minute.[br][/*][*]Calculate the total number of days and the cumulative fraction of days that Diego has had to wait so far.[br][/*][*]On the graph, plot the number of days and the fraction that Diego has had to wait. Connect each point by a line.[br][/*][*]If your group has the bag of papers, put the paper back into the bag, and shake the bag to mix up the papers.[br][/*][*]Pass the supplies to the next person in the group.[br][/*][/list]
On the graph, plot the number of days and the fraction that Diego has had to wait. Connect each point by a line.
Record in the table whether or not Diego had to wait more than 1 minute.
Based on the data you have collected, do you think the fraction of days Diego has to wait after the 16th day will be closer to 0.9 or 0.7? Explain or show your reasoning.
Continue the simulation for 10 more days. Record your results in this table and on the graph from earlier.
What do you notice about the graph?
Based on the graph, estimate the probability that Diego will have to wait more than 1 minute to cross the crosswalk.
Let's look at why the values tend to not change much after doing the simulation many times.
[size=150]After doing the simulation 4 times, a group finds that Diego had to wait 3 times. What is an estimate for the probability Diego has to wait based on these results?[/size][br][br]If this group does the simulation 1 more time, what are the two possible outcomes for the fifth simulation?
For each possibility, estimate the probability Diego has to wait.
What are the differences between the possible estimates after 5 simulations and the estimate after 4 simulations?
[size=150]After doing the simulation 20 times, this group finds that Diego had to wait 15 times. What is an estimate for the probability Diego has to wait based on these results?[/size][br][br]If this group does the simulation 1 more time, what are the two possible outcomes for the twenty-first simulation?
For each possibility, estimate the probability Diego has to wait.
What are the differences between the possible estimates after 21 simulations and the estimate after 20 simulations?
[size=150]Use these results to explain why a single result after many simulations does not affect the estimate as much as a single result after only a few simulations.[/size]
For each situation, describe a chance experiment that would fairly represent it.
Six people are going out to lunch together. One of them will be selected at random to choose which restaurant to go to. Who gets to choose?
After a robot stands up, it is equally likely to step forward with its left foot or its right foot. Which foot will it use for its first step?
In a computer game, there are three tunnels. Each time the level loads, the computer randomly selects one of the tunnels to lead to the castle. Which tunnel is it?
Your school is taking 4 buses of students on a field trip. Will you be assigned to the same bus that your math teacher is riding on?
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Information: IM 7.8.6 Lesson: Estimating Probabilities Using Simulation