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