# Theoretical probability and relative frequency (Part 2)

# Theoretical probability and relative frequency (Part 2)

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## Lesson details

### Key learning points

- In this lesson, we will look in more detail at calculating theoretical probabilities and relative frequencies using spinners and worded problems.

### 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 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

### 5 Questions

Q1.

Cala rolls a biased dice 40 times. It comes up with a three 14 times. Calculate the relative frequency of rolling a three.

0.14

0.40

0.42

Q2.

Antoni throws a normal six-sided dice 120 times. How many times would you expect him to throw a 4?

30

4

40

Q3.

Binh throws a biased dice 200 times. The theoretical probability of it landing on a 2 is 0.6. How many times would you expect her to throw a 2?

12

20

35

Q4.

Xavier has a biased coin which has a 30% chance of landing on Heads. He flips the coin 300 times. How many times would you expect it to land on Tails?

0.7

30

90

Q5.

Yasmin has 200 daisy seeds to plant in her garden. The probability of a daisy growing is 0.8. How many daisies would you expect to grow?

0.8

40

80