# Combined Events and Tree Diagrams (Part 1)

## Lesson details

### Key learning points

1. In this lesson, we will look at how we can represent combined events in a tree 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.

## Video

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
I roll a fair six-sided dice. What is the probability I roll a 4 or a 6?
1/6
3/6
4/6
Q2.
What is the probability that both land on 2?
1/3
2/9
4/9
Q3.
What is the probability that they land on the same number?
1/2
1/9
2/9
Q4.
What is the probability that they land on different numbers?
1
2/9
8/9
Q5.
What is the probability that their sum is greater than 3?
1
3/6
8/9

## Exit quiz

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### 5 Questions

Q1.
What is the probability that I win both games?
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
Q3.
What is the probability that I win exactly one game?
0.36
0.6
0.84
Q4.
What is the probability that I lose both games?
0.08
0.24
0.8
Q5.
What is the probability that I lose the first game but win the second game?
0.16