Theoretical probability and relative frequency

Theoretical probability and relative frequency

Lesson details

Key learning points

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

Licence

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5 Questions

Q1.
What is the probability that this fair spinner lands on an odd number?
An image in a quiz
0.3
1
3
Correct answer: 60%
Q2.
I roll a 10-sided dice. What is the probability I roll above a 5?
Correct answer: 0.5
0.6
6
6%
Q3.
From the letters above, what is the probability of selecting a vowel?
An image in a quiz
Four
Correct answer: Four Elevenths
Four to Seven
Seven Elevenths
Q4.
I roll a 6-sided dice. What is the probability that I roll a number greater than 8?
Correct answer: 0
0.2
0.8
1
Q5.
What is the probability that this fair spinner lands on a white triangle?
An image in a quiz
0
0.2
Correct answer: 0.4
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
Correct answer: 7/20
Q2.
I roll a dice 60 times and I get a "three" on 10 occasions. What is the relative frequency of getting a "three"?
Correct answer: 1/6
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
Correct answer: 0.76
38
6
Q4.
I toss a coin 50 times and it comes up "Heads" 30 times. What is the relative frequency of getting "Tails"?
Correct answer: 2/5
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"?
Correct answer: 0.55
45
55
Cannot say for certain

Lesson appears in

UnitMaths / Probability