Conditional Probability with Two-Way Tables
Learning Objective
I can calculate conditional probabilities using two-way tables.
Key Concepts
Conditional probability is the probability of an event occurring, given that another event has already occurred.
To find the probability that a selected student would be female given they received an A on the test, you can divide the number of female students who received an A by the total number of students who received an A.
The formula for conditional probability is P(E₂|E₁) = P(E₂ and E₁) / P(E₁), where E₂ is the event we're interested in and E₁ is the given event.
Practice Questions
This lesson includes 12 practice questions to reinforce learning.
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1. What is conditional probability?
2. In a two-way table summarizing student grades and gender, what information do you use to calculate the probability of a student being male given they received a B?
3. A survey was conducted about preferred social media platform and age group. The data is shown in the table. If a respondent is selected at random, what is the probability that they prefer TikTok, given they are in the 13-17 age group?
...and 9 more questions
Educational Video
Ex: Find Conditional Probability Using a Table
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