Conditional Probability with Two-Way Tables

Conditional Probability with Two-Way Tables

Grade 11th Grade · Math · 50 min

What's Included

Learning Objective

I can calculate conditional probabilities using two-way tables.

Warm-Up Video

Mathispower4u · 4:18

Ex: Find Conditional Probability Using a Table

Guided Notes

3 key concepts

  • 1

    Conditional probability is the probability of an event occurring, given that another event has already occurred.

  • 2

    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.

  • 3

    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

12 questions · Short answer

Exit Ticket

Quick comprehension check

In a class of students, some play sports and some are in the math club. The table below summarizes the data: | | Math Club | Not in Math Club | Total | |------------|-----------|--------------------|-------| | Plays Sports | 15 | 25 | 40 | | Doesn't Play Sports | 10 | 20 | 30 | | Total | 25 | 45 | 70 | If a student is selected at random, what is the probability that they play sports, given that they are in the math club? Express your answer as a simplified fraction.

Complete Lesson Package

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