Probability Tree Diagrams

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Objective

I can construct and interpret a probability tree diagram to solve probability problems.

Part 1 of 4

Warm-up video

Khan Academy · 2:24Vetted channel

We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    A tree diagram shows all the possible outcomes of flipping three coins.

  2. 2

    When flipping three fair coins, there are a total of 8 equally likely outcomes.

  3. 3

    The probability of getting at least two tails when flipping three fair coins is ½.

Part 3 of 4

Practice

4 questions

1

A bag contains 3 red marbles and 2 blue marbles. A marble is drawn at random and then replaced. A second marble is drawn. Construct a probability tree diagram to represent all possible outcomes.

2

Using the tree diagram from the previous question, what is the probability of drawing a red marble followed by a blue marble?

Part 4 of 4

Exit ticket

Quick comprehension check

Draw a probability tree diagram to represent flipping two fair coins. What is the probability of getting at least one head?

Sample answer included in the free materials

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Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

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