Higher
Find probabilities from Venn diagrams including basic set notation
Higher
Find probabilities from Venn diagrams including basic set notation
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Lesson details
Key learning points
- 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.
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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.
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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
Use theoretical probabilities
Q2.
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?
A and D occurred the same number of times.
B occurred the most frequently.
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.
A
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.
A
B
Q3.
This Venn diagram shows the number of students who study art, history and geography. Calculate P(not history).
A
C