# Theoretical probability and relative frequency

## Lesson details

### Key learning points

1. In this lesson, we will look at calculating theoretical probabilities and relative frequencies using spinners and dice as our examples.

### 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.
What is the probability that this fair spinner lands on an odd number?
0.3
1
3
Q2.
I roll a 10-sided dice. What is the probability I roll above a 5?
0.6
6
6%
Q3.
From the letters above, what is the probability of selecting a vowel?
Four
Correct answer: Four Elevenths
Four to Seven
Seven Elevenths
Q4.
I roll a 6-sided dice. What is the probability that I roll a number greater than 8?
0.2
0.8
1
Q5.
What is the probability that this fair spinner lands on a white triangle?
0
0.2
2

## Exit quiz

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### 5 Questions

Q1.
I toss a coin 20 times. It comes up "Heads" 7 times. What is the relative frequency of getting a "Head"?
1
1/2
13/20
Q2.
I roll a dice 60 times and I get a "three" on 10 occasions. What is the relative frequency of getting a "three"?
3/10
3/6
3/60
Q3.
I roll a dice 50 times and it lands on a "six" 38 times. What is the relative frequency of getting a "six"?
0.38
38
6
Q4.
I toss a coin 50 times and it comes up "Heads" 30 times. What is the relative frequency of getting "Tails"?
20
3/5
30
Q5.
I flip a coin lots of times. I note that the relative frequency of getting "heads" is 0.45. What is the relative frequency of getting "tails"?