Define probability and sample space. Estimate probabilities from experimental data.
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This lesson requires some prior preparation and materials (brown paper bags and different colored cubes) for Anchor Problem #1. See the notes in Anchor Problem #1 for further information.
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 2 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.
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Give each pair or small group of students a brown bag of cubes, as described below in the notes.
Trial 1:
Questions:
Trial 2:
Questions:
Trial 3:
Questions:
Check the bag:
A spinner with different colors on it was spun 20 times. The data recording the color of each spin is shown below.
Spin # | Color | Spin # | Color |
1 | Red | 11 | Yellow |
2 | Green | 12 | Yellow |
3 | Green | 13 | Yellow |
4 | Yellow | 14 | Green |
5 | Blue | 15 | Red |
6 | Yellow | 16 | Red |
7 | Red | 17 | Yellow |
8 | Yellow | 18 | Green |
9 | Green | 19 | Red |
10 | Red | 20 | Yellow |
Four spinners are shown below. Which spinner is most likely the spinner used for the data above?
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Each of the 20 students in Mr. Anderson’s class flipped a coin ten times and recorded how many times it came out heads.
a. How many heads do you think you will see out of ten tosses?
b. Would it surprise you to see 4 heads out of ten tosses? Explain why or why not.
c. Here are the results for the twenty students in Mr. Anderson’s class. Use this data to estimate the probability of observing 4, 5, or 6 heads in ten tosses of the coin. (It might help to organize the data in a table or in a dot plot first.)
Student | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
# of heads | 3 | 5 | 4 | 6 | 4 | 8 | 5 | 4 | 9 | 5 | 3 | 4 | 7 | 5 | 8 | 6 | 3 | 6 | 5 | 7 |
Heads or Tails, accessed on July 20, 2016, 6:42 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.