Higher

Draw a tree diagram for dependent events

Higher

Draw a tree diagram for dependent events

Switch to our new maths teaching resources

Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.

Play new resources video

Lesson details

Key learning points

  1. In this lesson, we will learn how to draw tree diagrams and complete missing probabilities in tree diagrams for dependent events.

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

Loading...

3 Questions

Q1.
For the probability tree shown, which calculation will find the probability of red followed by blue happening?
An image in a quiz
0.2 + 0.2
0.2 x 0.2
Correct answer: 0.2 x 0.8
0.8 x 0.8
Q2.
The probability that Amy and Joe win a game of chess is shown in the tree diagram. Work out the probability that over 2 games Amy wins twice.
An image in a quiz
Correct answer: 0.09
0.49
0.6
0.9
Q3.
James draws this probability tree diagram to help him calculate probabilities of taking sweets from a bag. What assumptions has James made when completing this probability tree?
An image in a quiz
All probabilities add to 1 on each branch.
Correct answer: He replaces the first sweet he takes.
It doesn’t matter if he eats the first sweet he takes.

3 Questions

Q1.
Probability of a dependent event is also called?
Biased probability.
Correct answer: Conditional probability.
Mutually exclusive.
Random probability.
Q2.
Simon has drawn this probability tree for a question on dependent probability. What mistake has he made?
An image in a quiz
The fractions on each branch do not sum to 1.
The probabilities should be decimals.
Correct answer: The second part of the probability tree has incorrect probabilities.
Q3.
This tree diagram shows Amir taking red and blue sweets from a bag. He does not replace the sweet after he has taken one.
An image in a quiz
A
B
Correct answer: C
D

Lesson appears in

UnitMaths / Probability 3 (Tree diagrams)