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7.SP.C.7.b

Probably the Greatest Artist

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Game Info for Teachers

COMBINED RATING

3.7 Stars

TEACHERS (14)

3.9

STUDENTS (1536)

3.6

LENGTH

18 Minutes

GRADES

6
7
8

CAPABILITIES

Text-to-Speech Support

Description

Our artist shows you how to throw huge numbers of color cubes in experiments. You'll learn about probability as these color cubes fall randomly. The end results are paint mixtures that you can use to create your own masterpiece of an artwork.

Vocabulary Words

uniform
non-uniform
theoretical probability
total probability
experimental probability
sample space

Instructions

Play through this interactive game to learn about Experimental Probability. Suitable for Grade 6, Grade 7, Grade 8.

Main Concepts

Probabilities can be theoretical (based on the structure of the process and its outcomes) or empirical (based on observed data generated by the process).
A probability model provides a probability for each possible nonoverlapping outcome for a chance process so that the total probability over all such outcomes is unity.
If the number of outcomes are unknown then the approximate frequency can be found by making a series of random selections and recoding the relative frequencies.
The collection of all possible individual outcomes is known as the sample space for the model (Tossing two coins written as TT, HT, TH, HH).
When outcomes are not empirically likely they can be discovered through experiment.
Given a uniform probability model (e.g., given a cube with Event A = roll a letter (A – F), the probability model has a sample space (S) of {A, B, C, D, E, F} where P(AA) = P(AB) = P(AC) = P(AD) = P(AE) = P(AF) = 1/6), determine the probabilities of events.
Given a non-uniform probability model (roll a colored letter, the probability model has a sample space (S) of {green letter, black letter} where P(Bgreen) = 4/6 = 2/3 and P(Bblack) = 2/6 = 1/3), determine the probabilities of events.

Discussion Questions

Before the Game

What does the word probability mean? How many sides does a cube have? If you were to roll a 6-sided die, what do you think the probability of rolling a 2 would be? What is it called if either of two outcomes are equally likely to appear? When do you encounter probability problems in everyday life?

After the Game

What is the difference between theoretical and experimental probability? Which is more accurate in describing the probability of something, theoretical or experimental? What is important to do if you want to increase the accuracy of experimental probability? How did you know which color and how many to sides of the cube when it was non-uniform? Were the results when you threw the cubes what you expected them to be- how did it determine what color to paint?

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Game Details

Difficulty

Content Integration

Lexile Level

705