Theoretical probability and relative frequency
Switch to our new maths teaching resources
Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.
Play new resources video
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.
Loading...
5 Questions
Q1.
What is the probability that this fair spinner lands on an odd number?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707168960%2Fcenzswc6hrlzpgc6tfr3.png&w=640&q=75)
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?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707168975%2Fnpfxqltekelip6hxrqc7.png&w=1200&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707137938%2Fszvszq5lc42h3kicugex.png&w=128&q=75)
Four
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707139285%2Fgwfwrstmxlarggng77fu.png&w=256&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707140308%2Fequ7tgwaxgvewyknhs6x.png&w=256&q=75)
Four to Seven
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707141052%2Fmfwrbo8jikvbogqtgfyx.png&w=256&q=75)
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?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707168982%2Fs28allvphktwttvpwt6f.png&w=640&q=75)
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