Year 10
Higher

Find probabilities from Venn diagrams including basic set notation

Year 10
Higher

Find probabilities from Venn diagrams including basic set notation

warning

These resources will be removed by end of Summer Term 2025.

Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.

Lesson details

Key learning points

  1. In this lesson, we will learn how to calculate probabilities from Venn diagrams with 2 or more sets, including using the correct notation for union, intersect and complement. It is useful to have a knowledge of how to draw Venn diagrams prior to this lesson but this skill is revised.

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.
Marion rolls a dice thirty times and records the information in a relative frequency table. How could she make her experiment more reliable?
Repeat the experiment and compare her results to the first experiment
Roll the dice 10 times and record her results
Correct answer: Roll the dice 600 times and record her results
Use theoretical probabilities
Q2.
An image in a quiz
Correct answer: A
B
C
D
Q3.
A spinner labelled A, B, C and D is spun 20 times. The relative frequencies are in the table below. Which statement is not true?
An image in a quiz
A and D occurred the same number of times.
B occurred the most frequently.
Correct answer: C occurred 15 times.
It is difficult to say whether the spinner is biased because there have only been 20 trials.

3 Questions

Q1.
Some children were asked if they owned a cat or a dog. A child is chosen at random. Calculate the probability that a child who owns a cat is chosen.
An image in a quiz
A
Correct answer: B
C
Q2.
Some children were asked if they owned a cat or a dog. A child is chosen at random. Calculate the probability that a child who owns a dog or a cat is chosen.
An image in a quiz
A
B
Correct answer: C
Q3.
This Venn diagram shows the number of students who study art, history and geography. Calculate P(not history).
An image in a quiz
A
Correct answer: B
C