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Unit: Module 5: Probability and statistics

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Possible mastery points

Topic A: Lesson 1: The general multiplication rule

Learn
Compound probability of independent events
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Independent events example: test taking
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"At least one" probability with coin flipping
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Dependent probability introduction
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The general multiplication rule
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Practice
Independent probabilityGet 3 of 4 questions to level up!
Probabilities of compound eventsGet 3 of 4 questions to level up!
Dependent probabilityGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 300 Mastery points

Topic A: Lesson 2: Counting rules—The fundamental counting principle and permutations

Learn
Count outcomes using tree diagram
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Counting outcomes: flower pots
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Permutation formula
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Zero factorial or 0!
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Possible three letter words
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Ways to arrange colors
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Ways to pick officers
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Practice
The counting principleGet 3 of 4 questions to level up!
PermutationsGet 3 of 4 questions to level up!

Topic A: Lesson 3: Counting rules—Combinations

Learn
Intro to combinations
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Combination formula
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Handshaking combinations
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Combination example: 9 card hands
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Practice
CombinationsGet 3 of 4 questions to level up!
Permutations & combinationsGet 5 of 7 questions to level up!

Topic A: Lesson 4: Using permutations and combinations to compute probabilities

Learn
Getting exactly two heads (combinatorics)
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Exactly three heads in five flips
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Example: Different ways to pick officers
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Example: Combinatorics and probability
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Example: Lottery probability
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Mega millions jackpot probability
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Practice
Probability with permutations and combinationsGet 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 500 Mastery points

Topic B: Lessons 5-6: Discrete random variables

Learn
Random variables
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Discrete and continuous random variables
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Valid discrete probability distribution examples
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Probability with discrete random variable example
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Practice
Probability modelsGet 5 of 7 questions to level up!

Topic B: Lessons 7-8: Expected value

Learn
Mean (expected value) of a discrete random variable
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Expected value (basic)
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Practice
Expected valueGet 5 of 7 questions to level up!

Topic B: Lessons 9-12: Creating probability distributions

Learn
Constructing a probability distribution for random variable
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Probability models example: frozen yogurt
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Practice
Constructing probability distributionsGet 3 of 4 questions to level up!

Quiz 3

Level up on the above skills and collect up to 300 Mastery points

Topic C: Lessons 13-19: Applications of expected value and probability

Learn
Term life insurance and death probability
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Expected profit from lottery ticket
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Expected value while fishing
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Comparing insurance with expected value
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Practice
Expected value with calculated probabilitiesGet 3 of 4 questions to level up!
Making decisions with expected valuesGet 3 of 4 questions to level up!

Quiz 4

Level up on the above skills and collect up to 200 Mastery points
Up next for you:

Unit test

Level up on all the skills in this unit and collect up to 1300 Mastery points!

About this unit

"In this module, students build on their understanding of probability developed in previous grades. In Topic A the multiplication rule for independent events introduced in Algebra II is generalized to a rule that can be used to calculate probability where two events are not independent. Students are also introduced to three techniques for counting outcomes. Topic B presents information related to random variables and discrete probability distributions. Topic C is a capstone topic for this module, where students use what they have learned about probability and expected value to analyze strategies and make decisions in a variety of contexts." Eureka Math/EngageNY (c) 2015 GreatMinds.org