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Tree Diagrams

Calculate the probability of independent and dependent combined events using tree diagrams.

Exercise Challenge Exam-Style Questions Help More Probability

Three cars arrive at speed at this junction. There is an equal chance of them turning left or right.

Draw a tree diagram to represent the situation showing the probabilies of every possible outcome.

Use your tree diagram to answer the following questions. Give your answer as decimals.

What is the probability of the red and blue cars colliding?

Correct Wrong

What is the probability of the red car not colliding?

Correct Wrong

What is the probability of no cars colliding?

Correct Wrong

If the probability of each car taking the left road is 0.25, what is the probability of the red car not colliding?

Correct Wrong

If the probability of each car taking the left road is 0.25, what is the probability of no cars colliding?

Correct Wrong
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This is Tree Diagrams level 2. You can also try:
Level 1 Level 3

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Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury:

"Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you."

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Christmas activities make those December Maths lessons interesting, exciting and relevant. If students have access to computers there are some online activities to keep them engaged such as Christmas Ornaments and Christmas Light Up.

Answers

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

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Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

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If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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Description of Levels

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Level 1 - Basic Tree Diagram questions

Level 2 - A challenging puzzle that can be solved with the aid of a tree diagram

Level 3 - GCSE and IB exam-style questions involving tree diagrams

Tree Diagrams

This video explains how to use tree diagrams to solve probability questions and is from Corbettmaths.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

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