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Tree Diagrams

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

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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
Check

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

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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.

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Description of Levels

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Level 1 - Basic probability questions for which the tree diagram has already been drawn

Level 2 - More probability questions requiring you to draw your own tree diagrams

Level 3 - A challenging puzzle that can be solved with the aid of a tree diagram

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Tree Diagrams

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. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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