Get Math Mammoth bundles at 40% off at Homeschool Buyers Club! Offer valid through Mar 31, 2024.
FLASH SALE! Get Math Mammoth and Make It Real Learning digital downloads at 28% off — right here at the MathMammoth.com website. Use coupon code AVW8-PQAV-YN8U at checkout. Offer valid through March 28, 2024.
^

Probability of compound events: list the outcomes, draw a tree diagram

We can find the probability of compound events simply by listing all the possible outcomes, and then writing the ratio of the favorable outcomes to the all possible outcomes (as in simple probability).

In the video, I go through three examples. In the first one, I draw a tree diagram for the experiment of tossing a coin, then rolling a die. In the second, we study the experiment of tossing a coin three times in a row. It is easy to simply list all the outcomes. Lastly, we explore the experiment of rolling two dice. I draw a dot diagram and find the probabilities of various events.



This lesson suits grades 7-8, and meets the Common Core standard 7.SP.8a and 7.SP.8b:

a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., "rolling double sixes"), identify the outcomes in the sample space which compose the event.


See also

Math Mammoth Grade 7 curriculum

Practice problems for compound events - video lesson

Back to the probability videos index

Back to all videos index

WAIT!

Receive my monthly collection of math tips & resources directly in your inbox — and get a FREE Math Mammoth book! :)


We respect your email privacy.
You can unsubscribe at any time.

Math Mammoth Tour


Confused about the different options? Take a virtual email tour around Math Mammoth! You'll receive:

An initial email to download your GIFT of over 400 free worksheets and sample pages from my books. Six other "TOURSTOP" emails that explain the important things and commonly asked questions concerning Math Mammoth curriculum. (Find out the differences between all these different-colored series!)

This way, you'll have time to digest the information over one or two weeks, plus an opportunity to ask me personally about the curriculum.
A monthly collection of math teaching tips & Math Mammoth updates (unsubscribe any time)
We respect your email privacy.

Note: You will FIRST get an email that asks you to confirm your email address. If you cannot find this confirmation email, please check your SPAM/JUNK folder.

"Mini" Math Teaching Course


This is a little "virtual" 2-week course, where you will receive emails on important topics on teaching math, including:

- How to help a student who is behind
- Troubles with word problems
- Teaching multiplication tables
- Why fractions are so difficult
- The value of mistakes
- Should you use timed tests
- And more!

You will also receive:

A GIFT of over 400 free worksheets and sample pages from my books right in the very beginning. smile A monthly collection of math teaching tips & Math Mammoth updates (unsubscribe any time)
We respect your email privacy.

Note: You will FIRST get an email that asks you to confirm your email address. If you cannot find this confirmation email, please check your SPAM/JUNK folder.

Maria's Math Tips


Enter your email to receive math teaching tips, resources, Math Mammoth news & sales, humor, and more! I tend to send out these tips about once monthly, near the beginning of the month, but occasionally you may hear from me twice per month (and sometimes less often). smile

Peek at the previous tips here.

You will also receive:

  • A GIFT of over 400 free worksheets and sample pages from my books. smile
We respect your email privacy.