# Theoretical probability and relative frequency (Part 2)

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

#### 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.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:

# 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.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

# 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 2

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

Q1.Cala rolls a biased dice 40 times. It comes up with a three 14 times. Calculate the relative frequency of rolling a three.

1/5

Q2.Antoni throws a normal six-sided dice 120 times. How many times would you expect him to throw a 4?

2/5

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?

3/5

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?

4/5

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?

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 2

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

Q1.Cala rolls a biased dice 40 times. It comes up with a three 14 times. Calculate the relative frequency of rolling a three.

1/5

Q2.Antoni throws a normal six-sided dice 120 times. How many times would you expect him to throw a 4?

2/5

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?

3/5

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?

4/5

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?

5/5

# Lesson summary: Theoretical probability and relative frequency (Part 2)

## Time to move!

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

For 5 mins...

Move around:
Climb stairs

On the spot:
Chair yoga