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Basic probability
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45 questions at your level
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Level 1
Level 2
Level 3
Level 4
Level 5
Probability of a single event
16 questions
Lesson
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Mark as done
A bag contains 5 red counters, 8 blue counters and 12 green counters.
A counter is taken at random from the bag.
(a)
Write down the probability that the counter is blue.
(b)
Work out the probability that the counter is
not
green.
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Level 2
3 marks
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A biased spinner can land on red, blue, green or yellow.
The table shows the probability that the spinner lands on each of three of these colours.
Colour
Red
Blue
Green
Yellow
Probability
0.2
0.35
0.15
(a)
Work out the probability that the spinner lands on yellow.
(b)
Work out the probability that the spinner does
not
land on blue.
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Level 2
3 marks
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Mark as done
A bag contains
3
3
3
red counters,
5
5
5
blue counters and
4
4
4
green counters.
A counter is taken at random from the bag.
(a)
Work out the probability that the counter is
not
green. (1 mark)
The counter is put back in the bag. This is repeated
60
60
60
times.
(b)
Work out an estimate for the number of times a green counter is taken. (2 marks)
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Level 2
3 marks
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80
80
80
students each study exactly one language: French, Spanish or German.
45
45
45
of the students are girls.
20
20
20
students study Spanish, and
8
8
8
of these are girls.
25
25
25
girls study French.
12
12
12
boys study German.
(a)
Work out how many boys study French. (2 marks)
(b)
One of the students who studies German is chosen at random.
Work out the probability that this student is a girl. (1 mark)
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Level 2
3 marks
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Sample space & systematic listing
16 questions
Lesson
Not started
Mark as done
A fair coin is flipped and a fair four-sided spinner numbered
1
1
1
,
2
2
2
,
3
3
3
,
4
4
4
is spun.
(a)
List all the possible outcomes.
(b)
Find the probability of getting a head and an even number.
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Level 2
4 marks
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Spinner A has four equal sections numbered
1
,
2
,
3
,
4
1, 2, 3, 4
1
,
2
,
3
,
4
. Spinner B has three equal sections numbered
1
,
2
,
3
1, 2, 3
1
,
2
,
3
.
Both spinners are spun and the scores are added.
Work out the probability that the total is
5
5
5
. [3]
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Level 2
3 marks
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Relative frequency & expected outcomes
14 questions
Lesson
Not started
Mark as done
Sam drops a drawing pin
200
200
200
times. It lands point-up
130
130
130
times.
(a)
Use Sam's results to estimate the probability that the pin lands point-up.
(b)
Estimate the probability that the pin lands point-down.
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Level 2
3 marks
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Mark as done
A bag contains
3
3
3
red counters,
5
5
5
blue counters and
4
4
4
green counters.
A counter is taken at random from the bag.
(a)
Work out the probability that the counter is
not
green. (1 mark)
The counter is put back in the bag. This is repeated
60
60
60
times.
(b)
Work out an estimate for the number of times a green counter is taken. (2 marks)
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Level 2
3 marks
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Mark as done
A dice is rolled
200
200
200
times. It lands on
6
6
6
on
44
44
44
of the rolls.
(a)
Work out the relative frequency of rolling a
6
6
6
. (1 mark)
(b)
The dice is rolled
500
500
500
times. Estimate the number of times it lands on
6
6
6
. (1 mark)
(c)
Do you think the dice is fair? Give a reason for your answer. (1 mark)
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Level 2
3 marks
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A spinner has four equal sections coloured red, blue, green and yellow.
The spinner is spun
80
80
80
times. Here are the results.
Colour
Red
Blue
Green
Yellow
Frequency
28
20
12
20
(a)
Work out the relative frequency of red. (1 mark)
(b)
Is the spinner fair? Give a reason for your answer. (1 mark)
(c)
The spinner is spun
400
400
400
times. Estimate the number of times it will land on red. (1 mark)
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Level 2
3 marks
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