Pearson Edexcel GCSE Maths · Topic P
Combined events, sample spaces, trees, conditional probability and risk. Use the references below to find real questions on Pearson's site. Then practise with the original printable pack.
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Total recorded: 0 of 105 marks
28 original questions written in the style of the real papers. Attempt one on paper, then reveal the mark scheme and award yourself the marks. Marks you award are saved in this browser against that question.
1
120 people were asked whether they own a bicycle. 75 of them were adults and the rest were children. Of the adults, 45 own a bicycle. Of the children, 27 own a bicycle.
(a)
(1)
(b)
(2)
(c)
(1)
(Total for Question 1 is 4 marks)
2
A bag contains 5 red counters and 3 blue counters. A counter is taken at random, its colour recorded, and then it is put back in the bag. A second counter is then taken at random.
(a)
(1)
(b)
(2)
(Total for Question 2 is 3 marks)
3
A spinner can land on red, blue, green or white. The table shows the probabilities of some of the colours. P(red) = 0.4, P(blue) = 0.25, P(green) = 0.15.
(a)
(2)
(b)
(2)
(Total for Question 3 is 4 marks)
4
Two fair ordinary six-sided dice are rolled. The scores on the two dice are added together to give a total.
(a)
(2)
(b)
(2)
(Total for Question 4 is 4 marks)
5
A biased coin is flipped 200 times. It lands on heads 130 times.
(a)
(2)
(b)
(1)
(c)
(1)
(Total for Question 5 is 4 marks)
6
A café offers a set lunch. A customer chooses one sandwich (cheese, ham or tuna) and one drink (tea or coffee).
(a)
(2)
(b)
(1)
(Total for Question 6 is 3 marks)
7
90 students travel to school by bus or on foot. 54 of the students are in Year 10 and the rest are in Year 11. Of the Year 10 students, 21 walk to school. Of the Year 11 students, 18 walk to school.
(a)
(1)
(b)
(2)
(Total for Question 7 is 3 marks)
8
160 households are surveyed. 92 households own a car. Of the households that own a car, 48 also own a bicycle. Of the households that do not own a car, 34 own a bicycle.
(a)
(2)
(b)
(2)
(Total for Question 8 is 4 marks)
9
A fair spinner has 8 equal sections. Three sections are blue. The spinner is spun 240 times.
(2)
(Total for Question 9 is 2 marks)
10
A spinner has three equal sections labelled A, B and C. It is claimed that the spinner is fair. In 300 spins it lands on A 126 times, on B 93 times and on C 81 times.
(a)
(1)
(b)
(2)
(Total for Question 10 is 3 marks)
11
A tennis player gets 52 of her first serves in during 80 attempts.
(a)
(2)
(b)
(1)
(Total for Question 11 is 3 marks)
12
A biased spinner can land on red or blue. Leila spins it 30 times and gets red 18 times. Marcus spins the same spinner 400 times and gets red 264 times.
(a)
(1)
(b)
(1)
(c)
(2)
(d)
(1)
(Total for Question 12 is 5 marks)
13
A spinner can land on A, B, C or D. P(A) = 0.18, P(B) = 0.27 and P(C) = 0.31.
(a)
(2)
(b)
(1)
(Total for Question 13 is 3 marks)
14
A bag contains only red, yellow and green counters. P(red) = 2x, P(yellow) = x + 0.1 and P(green) = 0.3.
(a)
(3)
(b)
(1)
(Total for Question 14 is 4 marks)
15
The same coin is tossed in two experiments. In Experiment A the coin is tossed 20 times. In Experiment B the coin is tossed 500 times.
(2)
(Total for Question 15 is 2 marks)
16
A spinner lands on red 14 times in its first 40 spins. It is then spun 360 more times. Across all 400 spins it lands on red 134 times.
(a)
(1)
(b)
(2)
(c)
(2)
(Total for Question 16 is 5 marks)
17
Nadia chooses one hat and one scarf. The hats are black and grey. The scarves are red, blue and green.
(a)
(2)
(b)
(1)
(Total for Question 17 is 3 marks)
18
A code is made by choosing one digit from 1, 2, 3 and 4, followed by one letter from A, B and C.
(a)
(2)
(b)
(2)
(Total for Question 18 is 4 marks)
19
A three-digit number is made using each of the digits 2, 4 and 7 exactly once.
(a)
(2)
(b)
(2)
(Total for Question 19 is 4 marks)
20
A fair coin is tossed and a fair spinner numbered 1, 2 and 3 is spun.
(a)
(1)
(b)
(2)
(Total for Question 20 is 3 marks)
21
Two fair four-sided spinners are each numbered 1, 2, 3 and 4. Both spinners are spun.
(a)
(2)
(b)
(2)
(Total for Question 21 is 4 marks)
22
Spinner A is fair and numbered 1, 2, 3 and 4. Spinner B is fair and numbered 1, 2, 3, 4 and 5. Each spinner is spun once.
(a)
(2)
(b)
(2)
(c)
(1)
(Total for Question 22 is 5 marks)
23
A box contains 4 cards with vowels on them and 6 cards with consonants on them. A card is chosen at random, replaced, and then a second card is chosen.
(3)
(Total for Question 23 is 3 marks)
24
A bag contains 5 red counters, 3 green counters and 2 blue counters. Two counters are taken at random without replacement.
(a)
(2)
(b)
(3)
(Total for Question 24 is 5 marks)
25
A bag contains n red counters and 4 blue counters. Two counters are taken at random without replacement. The probability that both counters are blue is 1/6.
(5)
(Total for Question 25 is 5 marks)
26
120 students are surveyed. 68 students learn a musical instrument, 45 students play a school sport, and 30 students do both.
(a)
(2)
(b)
(2)
(Total for Question 26 is 4 marks)
27
In a group of 80 students, 46 study French, 38 study Spanish and 22 study both languages.
(a)
(2)
(b)
(3)
(Total for Question 27 is 5 marks)
28
A factory makes 150 items on the morning shift and 250 items on the evening shift. Nine morning-shift items and 10 evening-shift items are defective. One of the 400 items is chosen at random.
(a)
(2)
(b)
(2)
(Total for Question 28 is 4 marks)
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Everything here stays free. If probability is where the marks keep going, I teach it one to one from the mark schemes. Free intro call, then a free first lesson.