Which three go together? Why do they go together?

Divided into four equal parts: a blue section, labeled “B,” a green section, labeled “G,” a red section, labeled “R,” and a yellow section labeled "Y." The pointer is in the part labeled “Y.”

Divided into three unequal parts. The first part is blue and labeled "B." It is approximately one third of the spinner. The next part is green and labeled “G.” It is approximately one fourth of the spinner. The last part is yellow and is labeled “Y.” It is approximately between four tenths and five tenths of the spinner. The pointer is in the part labeled "Y."

Divided into four unequal parts. The first part is red and labeled "R." It is approximately one eighth of the spinner. The next part is blue and labeled "B." It is approximately one twelfth of the spinner. The third part is green and labeled “G.” It is approximately one fourth of the spinner. The last part is yellow and labeled “Y.” It is approximately between five-tenths and six-tenths of the spinner. The pointer is in the part labeled "Y."

Divided into four unequal parts. The first part is blue and labeled "B." It is approximately one fourth of the spinner. The next part is green and labeled "G." It is approximately one sixth of the spinner. The next part is yellow and labeled "Y." It is approximately one third of the spinner. The last part is red and labeled "R." It is approximately one fourth of the spinner. The pointer is in the part labeled "Y."

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.

• Simulate one day:

  • If your group gets a bag of papers, reach into the bag, and select one paper without looking inside.

  • If your group gets a spinner, spin the spinner, and see where it stops.

  • 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.

• Record in the table whether or not Diego has to wait more than 1 minute.

• Calculate the total number of days and the cumulative fraction of days that Diego has had to wait so far.

• On the graph, plot the number of days and the fraction that Diego has had to wait. Connect each point by a line.

• If your group has the bag of papers, put the paper back into the bag, and shake the bag to mix up the papers.

• Pass the supplies to the next person in the group and they will repeat the steps to simulate the next day.

A graph of two connected line segments on a coordinate grid with the origin marked “O.” The horizontal axis is labeled “day”, with the numbers 0 through 24, in increments of 2, indicated. There are vertical grid lines midway between. The vertical axis is labeled “fraction of days Diego had to wait” with the numbers 0 point 1 through 1, in increments of 0 point 1, indicated. The first line segment begins at the point with coordinates 1 comma 0 and moves upward and to the right, ending at the point with coordinates 2 comma 0 point 5. The second line segment begins where the first line ends, and moves slightly upward and to the right, ending at the point with coordinates 3 comma 0 point 6 7.

1. Based on the data you have collected, do you think the fraction of days Diego has had to wait after the 16th day will be closer to 0.9 or 0.7? Explain or show your reasoning.

2. Continue the simulation for 10 more days. Record your results in this table and on the graph from earlier.

   day	Does Diego have to wait more than 1 minute?	total number of days Diego has had to wait	fraction of days Diego has had to wait
   16
   17
   18
   19
   20
   21
   22
   23
   24
   25

3. What do you notice about the graph?
4. Based on the graph, estimate the probability that Diego will have to wait more than 1 minute to cross the crosswalk.

For each situation, describe a chance experiment that would fairly represent it.

1. 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?

2. 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?

3. In a computer game, there are 3 tunnels. Each time the level loads, the computer randomly selects 1 of the tunnels to lead to the castle. Which tunnel is it?

4. 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?