1. Probability – Single Event – Higher – GCSE Questions – AQA
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in 2 sizes.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. AQA Higher: June 2017 Paper 2, Q5 AQA Higher: June 2017 Paper 2, Q5
A code has 4 digits.
Each digit is a number from 0 to 9
Digits may be repeated.
The code starts 9 8 5 1
A code has 4 digits.
Each digit is a number from 0 to 9
Digits may be repeated.
The code starts 9 8 5 9 8 5 9 8 5
[1 mark]
[1 mark]
1 (a)
Alice chooses a number at random for the last digit.
Write down the probability that she chooses the correct number.
1 (a)
Alice chooses a number at random for the last digit.
Write down the probability that she chooses the correct number.
Answer
Answer
1 (b)
[1 mark]
[1 mark]
Trevor knows the last digit is odd but not 1 or 9.
He chooses a different odd number at random.
What is the probability that he chooses the correct number?.
1 (b)
Trevor knows the last digit is odd but not 1 or 9.
He chooses a different odd number at random.
What is the probability that he chooses the correct number?.
Answer
Answer

5. AQA Higher: June 2017 Paper 3, Q9 AQA Higher: June 2017 Paper 3, Q9
There are 660 boys and 840 girls in a school.
The probability that a boy chosen at random studies Drama is 2 5
The probability that a girl chosen at random studies Drama is 3 7 1
There are 660 boys and 840 girls in a school.
The probability that a boy chosen at random studies Drama is 2 5
The probability that a girl chosen at random studies Drama is 3 7
1 (a)
Work out the number of students in the school who study Drama.
1 (a)
Work out the number of students in the school who study Drama.
[3 marks]
[3 marks]
Answer
Answer
1 (b)
Work out the probability that a student chosen at random
from the whole school does not study Drama.
1 (b)
Work out the probability that a student chosen at random
from the whole school does not study Drama.
[2 marks]
[2 marks]
Answer
Answer

7. AQA Higher: June 2017 Paper 2, Q5
A code has 4 digits.
Each digit is a number from 0 to 9
Digits may be repeated.
The code starts 9 8 5 9 8 5
[1 mark]
1 (a)
Alice chooses a number at random for the last digit.
Write down the probability that she chooses the correct number.
Answer
1 (b)
[1 mark]
Trevor knows the last digit is odd but not 1 or 9.
He chooses a different odd number at random.
What is the probability that he chooses the correct number?.
Answer

8. AQA Higher: June 2017 Paper 3, Q9
There are 660 boys and 840 girls in a school.
The probability that a boy chosen at random studies Drama is 2 5
The probability that a girl chosen at random studies Drama is 3 7
1 (a)
Work out the number of students in the school who study Drama.
[3 marks]
Answer
1 (b)
Work out the probability that a student chosen at random
from the whole school does not study Drama.
[2 marks]
Answer

9. AQA Higher: June 2017 Paper 2, Q5
A code has 4 digits.
Each digit is a number from 0 to 9
Digits may be repeated.
The code starts 9 8 5 9 8 5
[1 mark]
1 (a)
Alice chooses a number at random for the last digit.
Write down the probability that she chooses the correct number.
0, 1, 2, 3, 4, 5, 6, 7, 8, 9 = 10
1 10
Answer
1 (b)
[1 mark]
Trevor knows the last digit is odd but not 1 or 9.
He chooses a different odd number at random.
What is the probability that he chooses the correct number?.
1, 3, 5, 7, 9 × ×
1 3
Answer

10. Boys: 660 × 2 5 = 264 Girls: 840 × 3 7 = 360 Total = 240 + 360 = 624
AQA Higher: June 2017 Paper 3, Q9 1
There are 660 boys and 840 girls in a school.
The probability that a boy chosen at random studies Drama is 2 5
The probability that a girl chosen at random studies Drama is 3 7
1 (a)
Work out the number of students in the school who study Drama.
Boys: 660 × = 264
[3 marks]
Girls: 840 × = 360
Total = = 624
Answer
1 (b)
Work out the probability that a student chosen at random
from the whole school does not study Drama.
[2 marks]
Total students = = 1500
NOT drama = 1500 – 624 = 876
73 125 OR
Answer

11. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
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