Theoretical probability and relative frequency (Part 2)

Theoretical probability and relative frequency (Part 2)

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Lesson details

Key learning points

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

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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.
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

5 Questions

Q1.
Cala rolls a biased dice 40 times. It comes up with a three 14 times. Calculate the relative frequency of rolling a three.
0.14
Correct answer: 0.35
0.40
0.42
Q2.
Antoni throws a normal six-sided dice 120 times. How many times would you expect him to throw a 4?
Correct answer: 20
30
4
40
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?
12
Correct answer: 120
20
35
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?
0.7
Correct answer: 210
30
90
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?
0.8
Correct answer: 160
40
80

Lesson appears in

UnitMaths / Probability