Year 9

Combined events and tree diagrams (Part 2)

Year 9

Combined events and tree diagrams (Part 2)

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Lesson details

Key learning points

  1. In this lesson, we will look at examples of when a tree diagram is more useful for combined events than a sample space diagram.

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.

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5 Questions

Q1.
What is the probability that I win both games?
An image in a quiz
0.4 x 0.4 = 0.16
0.6 + 0.6 = 0.12
0.6 x 0.4 = 0.24
Correct answer: 0.6 x 0.6 = 0.36
Q2.
What is the probability that I win at least one game?
0.24
0.36
0.6
Correct answer: 0.84
Q3.
What is the probability that I win exactly one game?
0.36
Correct answer: 0.48
0.6
0.84
Q4.
What is the probability that I lose both games?
0.08
Correct answer: 0.16
0.24
0.8
Q5.
What is the probability that I lose the first game but win the second game?
0.16
Correct answer: 0.24
0.4
0.6

5 Questions

Q1.
What is the probability that I lose all three games?
An image in a quiz
0.004
Correct answer: 0.064
0.1
0.12
Q2.
What is the probability that I win all three games?
0.018
0.18
Correct answer: 0.216
0.36
Q3.
What is the probability that I win at least one game?
0.064
0.216
0.6
Correct answer: 0.936
Q4.
What is the probability that I win exactly one game?
0.096
Correct answer: 0.288
0.36
0.6
Q5.
What is the probability that I win exactly two games?
0.048
0.36
Correct answer: 0.432
0.6