# Combined Events and Tree Diagrams (Part 1)

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## Lesson details

### Key learning points

- 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.

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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

### 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

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

0.4

0.6