# Theoretical probability and relative frequency

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

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.What is the probability that this fair spinner lands on an odd number?

1/5

Q2.I roll a 10-sided dice. What is the probability I roll above a 5?

2/5

Q3.From the letters above, what is the probability of selecting a vowel?

3/5

Q4.I roll a 6-sided dice. What is the probability that I roll a number greater than 8?

4/5

Q5.What is the probability that this fair spinner lands on a white triangle?

5/5

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.What is the probability that this fair spinner lands on an odd number?

1/5

Q2.I roll a 10-sided dice. What is the probability I roll above a 5?

2/5

Q3.From the letters above, what is the probability of selecting a vowel?

3/5

Q4.I roll a 6-sided dice. What is the probability that I roll a number greater than 8?

4/5

Q5.What is the probability that this fair spinner lands on a white triangle?

5/5

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Theoretical Probability and Relative Frequency

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.I toss a coin 20 times. It comes up "Heads" 7 times. What is the relative frequency of getting a "Head"?

1/5

Q2.I roll a dice 60 times and I get a "three" on 10 occasions. What is the relative frequency of getting a "three"?

2/5

Q3.I roll a dice 50 times and it lands on a "six" 38 times. What is the relative frequency of getting a "six"?

3/5

Q4.I toss a coin 50 times and it comes up "Heads" 30 times. What is the relative frequency of getting "Tails"?

4/5

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"?

5/5

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Theoretical Probability and Relative Frequency

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.I toss a coin 20 times. It comes up "Heads" 7 times. What is the relative frequency of getting a "Head"?

1/5

Q2.I roll a dice 60 times and I get a "three" on 10 occasions. What is the relative frequency of getting a "three"?

2/5

Q3.I roll a dice 50 times and it lands on a "six" 38 times. What is the relative frequency of getting a "six"?

3/5

Q4.I toss a coin 50 times and it comes up "Heads" 30 times. What is the relative frequency of getting "Tails"?

4/5

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"?

5/5

# Lesson summary: Theoretical probability and relative frequency

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Jog

On the spot:
Chair yoga