# Theoretical probability and relative frequency

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## Lesson details

### Key learning points

- 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.

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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

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

### 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"?

45

55

Cannot say for certain