1. Probability – Single Event – 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:
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. GCSE GCSE GCSE GCSE Edexcel Higher: November 2017 Paper 3, Q10
There are only green cubes, black cubes, white cubes and blue cubes in a bag.
A cube is taken at random from the bag.
The table shows the probabilities of getting a green cube, a black cube or
a blue cube.
(a) Work out the probability of getting a white cube.
(b) What is the least possible number of cubes in the bag?
You must give a reason for your answer. 1
There are only green cubes, black cubes, white cubes and blue cubes in a bag.
A cube is taken at random from the bag.
The table shows the probabilities of getting a green cube, a black cube or
a blue cube.
(a) Work out the probability of getting a white cube.
(b) What is the least possible number of cubes in the bag?
You must give a reason for your answer.
Colour
green
black
white
blue
Probability
0.3
0.15
0.6
Colour
green
black
white
blue
Probability
0.3
0.15
0.6
(1)
(1)
(2)
(2)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Higher: November 2017 Paper 3, Q10
Edexcel Higher: November 2017 Paper 3, Q10 1
There are only green cubes, black cubes, white cubes and blue cubes in a bag.
A cube is taken at random from the bag.
The table shows the probabilities of getting a green cube, a black cube or
a blue cube.
(a) Work out the probability of getting a white cube.
(b) What is the least possible number of cubes in the bag?
You must give a reason for your answer. 1
There are only green cubes, black cubes, white cubes and blue cubes in a bag.
A cube is taken at random from the bag.
The table shows the probabilities of getting a green cube, a black cube or
a blue cube.
(a) Work out the probability of getting a white cube.
(b) What is the least possible number of cubes in the bag?
You must give a reason for your answer.
Colour
green
black
white
blue
Probability
0.3
0.15
0.6
Colour
green
black
white
blue
Probability
0.3
0.15
0.6
(1)
(1)
(2)
(2)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

5. GCSE GCSE GCSE GCSE Edexcel Higher: November 2017 Paper 2, Q4
There are only red, black and yellow pens in a box.
There are
three times as many red pens as black pens
and five times as many yellow pens as red pens.
Toby takes at random a pen from the box.
Work out the probability that Toby takes a black pen. 1
There are only red, black and yellow pens in a box.
There are
three times as many red pens as black pens
and five times as many yellow pens as red pens.
Toby takes at random a pen from the box.
Work out the probability that Toby takes a black pen.
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Higher: November 2017 Paper 2, Q4
Edexcel Higher: November 2017 Paper 2, Q4 1
There are only red, black and yellow pens in a box.
There are
three times as many red pens as black pens
and five times as many yellow pens as red pens.
Toby takes at random a pen from the box.
Work out the probability that Toby takes a black pen. 1
There are only red, black and yellow pens in a box.
There are
three times as many red pens as black pens
and five times as many yellow pens as red pens.
Toby takes at random a pen from the box.
Work out the probability that Toby takes a black pen.
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

7. GCSE GCSE GCSE GCSE Edexcel Higher: May 2018 Paper 1, Q16
There are only yellow, green and black buttons in a bag.
The ratio of the number of yellow buttons to green buttons is 4 : 11
Sally takes at random a counter from the bag.
The probability that the counter is black is 0.1
Work out the probability that Sally takes a yellow counter. 1
There are only yellow, green and black buttons in a bag.
The ratio of the number of yellow buttons to green buttons is 4 : 11
Sally takes at random a counter from the bag.
The probability that the counter is black is 0.1
Work out the probability that Sally takes a yellow counter.
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
Edexcel Higher: May 2018 Paper 1, Q16
GCSE
Edexcel Higher: May 2018 Paper 1, Q16 1
There are only yellow, green and black buttons in a bag.
The ratio of the number of yellow buttons to green buttons is 4 : 11
Sally takes at random a counter from the bag.
The probability that the counter is black is 0.1
Work out the probability that Sally takes a yellow counter. 1
There are only yellow, green and black buttons in a bag.
The ratio of the number of yellow buttons to green buttons is 4 : 11
Sally takes at random a counter from the bag.
The probability that the counter is black is 0.1
Work out the probability that Sally takes a yellow counter.
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

11. GCSE Edexcel Higher: May 2018 Paper 1, Q16 1
There are only yellow, green and black buttons in a bag.
The ratio of the number of yellow buttons to green buttons is 4 : 11
Sally takes at random a counter from the bag.
The probability that the counter is black is 0.1
Work out the probability that Sally takes a yellow counter.
(Total for Question 1 is 3 marks)

12. GCSE
Edexcel Higher: November 2017 Paper 3, Q10 1
There are only green cubes, black cubes, white cubes and blue cubes in a bag.
A cube is taken at random from the bag.
The table shows the probabilities of getting a green cube, a black cube or
a blue cube.
(a) Work out the probability of getting a white cubes.
(b) What is the least possible number of cubes in the bag?
You must give a reason for your answer.
Colour
green
black
white
blue
Probability
0.3
0.15
0.05
0.6
0.05
= 0.05
(1)
= 20
÷ 5
HCF = 5
(2)
20 cubes, you cannot divide the proportions
further and keep integer values.
(Total for Question 1 is 3 marks)

13. 19 parts in total, 1 black pen
GCSE
Edexcel Higher: November 2017 Paper 2, Q4 1
There are only red, black and yellow pens in a box.
There are
three times as many red pens as black pens
and five times as many yellow pens as red pens.
Toby takes at random a pen from the box.
Work out the probability that Toby takes a black pen.
Red : Black
3:1
Yellow : Red
5:1
= 15:3
Yellow : Red : Black
15 : : 1
= 19
19 parts in total, 1 black pen
1 19
(Total for Question 1 is 3 marks)

14. = 15 P(yellow or green) = 1 – 0.1 = 0.9
GCSE
Edexcel Higher: May 2018 Paper 1, Q16 1
There are only yellow, green and black buttons in a bag.
The ratio of the number of yellow buttons to green buttons is 4 : 11
Sally takes at random a counter from the bag.
The probability that the counter is black is 0.1
Work out the probability that Sally takes a yellow counter.
= 15
P(yellow or green) = 1 – 0.1 = 0.9
‘How much is one piece of the ratio worth?’
P(one button) = 0.9 ÷ 15 = 0.06
P(yellow) = 0.06 x 4 = 0.24
0.24
(Total for Question 1 is 3 marks)

15. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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