1. These questions are the same format as previous GCSE exams.
Probability – Mutually Exclusive & Exhaustive – Higher – GCSE Questions
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 a variety of sizes.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
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To print multiple slides -
Click on a section title to highlight all those slides,
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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. GCSE GCSE Edexcel Higher: June 2017 Paper 3, Q3
The table shows some information about the shoe sizes of 27 women. 1
The table shows some information about the shoe sizes of 27 women.
Shoe Size
Number of women 4 6 7 9 8 5
Shoe Size
Number of women 4 6 7 9 8 5
(a) Find the median shoe size.
(a) Find the median shoe size.
(1)
(1)
4 of the 27 women have a dress size of 10
Mike says that if you choose at random one of the 27 women, the probability
that she has either a dress size of 10 or a shoe size of 7 is because
4 of the 27 women have a dress size of 10
Mike says that if you choose at random one of the 27 women, the probability
that she has either a dress size of 10 or a shoe size of 7 is because
= 13 27
= 13 27
(b) Is Mike correct?
You must give a reason for your answer.
(b) Is Mike correct?
You must give a reason for your answer.
(1)
(1)
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks)

5. GCSE GCSE Edexcel Higher: June 2018 Paper 3, Q6
There are some buttons in a bag.
The counters are yellow, or red, or blue, or green.
Bridgette is going to take at random a button from the bag.
The table shows each of the probabilities that the button will be blue or green.
There are 21 blue buttons in the bag.
The probability that the button Bridgette takes will be yellow is three times
the probability that the counter will be red.
(a) Work out the number of yellow counters in the bag. 1
There are some buttons in a bag.
The counters are yellow, or red, or blue, or green.
Bridgette is going to take at random a button from the bag.
The table shows each of the probabilities that the button will be blue or green.
There are 21 blue buttons in the bag.
The probability that the button Bridgette takes will be yellow is three times
the probability that the counter will be red.
(a) Work out the number of yellow counters in the bag.
Colour
yellow
red
blue
green
Probability
0.35
0.45
Colour
yellow
red
blue
green
Probability
0.35
0.45
(4)
(4)
A cube is going to be taken at random from a bag of cubes.
The probability that the cube will be black is 0.5
There must be an even number of cubes in the box.
(b) Explain why.
A cube is going to be taken at random from a bag of cubes.
The probability that the cube will be black is 0.5
There must be an even number of cubes in the box.
(b) Explain why.
(1)
(1)
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

7. GCSE Edexcel Higher: June 2017 Paper 3, Q3 4 27 + 9 27 = 13 27
The table shows some information about the shoe sizes of 27 women.
Shoe Size
Number of women 4 6 7 9 8 5
(a) Find the median shoe size.
(1)
4 of the 27 women have a dress size of 10
Mike says that if you choose at random one of the 27 women, the probability
that she has either a dress size of 10 or a shoe size of 7 is because
= 13 27
(b) Is Mike correct?
You must give a reason for your answer.
(1)
(Total for Question 1 is 2 marks)

8. GCSE Edexcel Higher: June 2018 Paper 3, Q6 1
There are some buttons in a bag.
The counters are yellow, or red, or blue, or green.
Bridgette is going to take at random a button from the bag.
The table shows each of the probabilities that the button will be blue or green.
There are 21 blue buttons in the bag.
The probability that the button Bridgette takes will be yellow is three times
the probability that the counter will be red.
(a) Work out the number of yellow counters in the bag.
Colour
yellow
red
blue
green
Probability
0.35
0.45
(4)
A cube is going to be taken at random from a bag of cubes.
The probability that the cube will be black is 0.5
There must be an even number of cubes in the box.
(b) Explain why.
(1)
(Total for Question 1 is 5 marks)

9. No, he is not correct. Shoe size and dress
GCSE
Edexcel Higher: June 2017 Paper 3, Q3 1
The table shows some information about the shoe sizes of 27 women.
Shoe Size
Number of women 4 6 7 9 8 5 6 13
14th
(a) Find the median shoe size.
= 14th piece of data 7
(1)
4 of the 27 women have a dress size of 10
Mike says that if you choose at random one of the 27 women, the probability
that she has either a dress size of 10 or a shoe size of 7 is because
= 13 27
(b) Is Mike correct?
You must give a reason for your answer.
No, he is not correct. Shoe size and dress
size are not mutually exclusive,
you can have both.
(1)
(Total for Question 1 is 2 marks)

10. GCSE
Edexcel Higher: June 2018 Paper 3, Q6 1
There are some buttons in a bag.
The counters are yellow, or red, or blue, or green.
Bridgette is going to take at random a button from the bag.
The table shows each of the probabilities that the button will be blue or green.
There are 21 blue buttons in the bag.
The probability that the button Bridgette takes will be yellow is three times
the probability that the counter will be red.
(a) Work out the number of yellow counters in the bag.
Colour
yellow
red
blue
green
Probability
0.35
0.45
0.15
0.05
=0.8
P(Y or R) = 1 – 0.8 = 0.2
0.2 ÷ 4 = 0.05
Total buttons: 21 ÷ 0.35 = 60 buttons
Yellow buttons: 60 × 0.15 = 9 buttons
(4)
A cube is going to be taken at random from a bag of cubes.
The probability that the cube will be black is 0.5
There must be an even number of cubes in the box.
(b) Explain why.
If there are an odd number of black cubes,
2 x odd = even. If there are an even number
of black cubes, 2 x even = even
(1)
(Total for Question 1 is 5 marks)

11. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
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