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Exploring Probability Distributions: Statistical Experiment Design

This unit focuses on constructing sample spaces and probability distributions in chance situations with equally likely outcomes. Students learn to compute P(A and B) using the Addition Rule and explore the conditions under which individual probabilities can be added to determine related event probabilities. Essential question: Under what conditions can you add probabilities to find the probability of an event? The lesson includes practice problems and homework assignments to reinforce learning.

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Exploring Probability Distributions: Statistical Experiment Design

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  1. MATHEMATICS CORE 1 Patterns in Chance

  2. Daily Starter • Begin Handout

  3. Unit 8 Objectives • Benchmark – 3.1 • Design and conduct a statistical experiment to study a problem.

  4. Lesson 8.1.2-1 Objectives • Construct sample spaces of chance situations involving equally likely outcomes • Construct probability distributions from sample spaces. • Compute P(A and B) using the Addition Rule or its special case for mutually exclusive events

  5. Essential Question • Under what conditions can you add individual probabilities to find the probability that a related event happens?

  6. In Investigation 8.1.1 you constructed the probability distribution for the sum of two dice. You discovered that to find the probability that the sum is 2 or 3, you could add the probability that the sume is 2 to the probability that the sum Is 3.

  7. Fill in the Tables from each Table Group

  8. Continue With Problem 2 through 8

  9. Lesson Objectives - SUMMARY • Construct sample spaces of chance situations involving equally likely outcomes • Construct probability distributions from sample spaces. • Compute P(A and B) using the Addition Rule or its special case for mutually exclusive events • Essential Question:Under what conditions can you add individual probabilities to find the probability that a related event happens? • Homework page 542 Problem 4,5,11,14

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