Green Bridge Learning Resource For Possibility And Tree Diagrams

Overview

When events happen one after another, a tree diagram lays out every possible path and its probability. Multiplying along the branches and adding the relevant paths turns a tangled problem into clear, step-by-step arithmetic.

In this lesson you will use possibility (sample space) diagrams and tree diagrams, including successive selection with or without replacement.

Lesson Evaluation

Congratulations on completing the lesson on Possibility And Tree Diagrams. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

On a tree diagram, along a single path you: A. add probabilities B. multiply probabilities C. subtract D. divide Answer: B
To combine different successful paths you: A. add them B. multiply them C. subtract them D. ignore them Answer: A
P(R) = 0.6, with replacement, two draws. P(two red) is: A. 0.12 B. 0.36 C. 0.6 D. 1.2 Answer: B
5 red, 3 blue, without replacement. P(two red) is: A. 25/64 B. 5/14 C. 20/56 then NOT simplified D. 5/8 Answer: B
The two branch probabilities at each split add to: A. 0 B. 0.5 C. 1 D. 2 Answer: C