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Conditional Probability and Two-Way Worksheet, CW, HW, Review CP Stats, Ap Stats

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Alca Math Help
26 Followers
Grade Levels
9th - 12th, Higher Education, Adult Education, Homeschool, Staff
Standards
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  • PDF
Pages
4 pages
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Alca Math Help
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Description

If you are looking for an easy to follow for students. You are at the right place. This is a quick and easy to follow activity sheet that brings across the concept clear and precise. Teachers in my department love this activity sheet.  This is useful of CP Probability and Statistics, AP Statistics and Algebra 1 statistics unit.

Probability and Conditional Probability Objectives

At the end of the lesson students should be able to:

1. Interpret two-way tables

2. Create relative frequency tables for whole tables

3. Define probability and conditional probability

4. Differentiate the difference between probability and conditional probability

5. Identify marginal frequencies and sample space

6. Examine the association between categorical variables

7. Describe patterns that exist

8. Prove independence among categorical variables

9. Write conditional probability statement and  summarize them

10.  Use probability and conditional probability formulas to solve related questions 

Total Pages
4 pages
Answer Key
N/A
Teaching Duration
45 minutes
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Standards

to see state-specific standards (only available in the US).
Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).
Understand that two events 𝘈 and 𝘉 are independent if the probability of 𝘈 and 𝘉 occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
Understand the conditional probability of 𝘈 given 𝘉 as 𝘗(𝘈 and 𝘉)/𝘗(𝘉), and interpret independence of 𝘈 and 𝘉 as saying that the conditional probability of 𝘈 given 𝘉 is the same as the probability of 𝘈, and the conditional probability of 𝘉 given 𝘈 is the same as the probability of 𝘉.
Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.
Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer.

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