# Calculating the probability of combined events

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## Lesson details

### Key learning points

- In this lesson, we will look at how we can use area maps to calculate probabilities of combined events.

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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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### 5 Questions

Q1.

How many boys didn't do their homework?

13

14

22

Q2.

How many girls were there altogether?

14

29

8

Q3.

How many students were there altogether?

20

55

84

Q4.

What is the probability of randomly selecting a student who did their homework?

1/4

13/20

21/40

Q5.

Given that I select a girl, what is the probability that she didn't do her homework?

13/20

21/42

8/22

### 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