plumiCombined events and tree diagrams: Edexcel GCSE Maths questions
Every Edexcel GCSE Maths exam question on P8 Combined events and tree diagrams, 2017–2025, with its mark scheme and examiner’s report.
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All 38 questions on Combined events and tree diagrams, as a list
- June 2025, Paper 1H, Q14 (5 marks): There are nine balls labelled 1 to 9 in a box. Lee will take at random two balls from the box. Lee says, “The probability that the sum of the numbers on the two
- June 2025, Paper 2H, Q11 (5 marks): Freya and Ria each do an exam. The probability that Freya will pass the exam is 0.8 The probability that Ria will pass the exam is 0.85 (a) Complete the probabi
- June 2025, Paper 3H, Q15 (4 marks): There are only 7 blue pens and 3 red pens in a box. Raja takes at random one of the pens. He notes the colour of the pen and puts the pen back into the box. Raj
- November 2024, Paper 1H, Q19 (4 marks): In the semi-finals of a chess tournament, player A will play player B and player C will play player D. The two winners will then play each other in the final.
- November 2024, Paper 2H, Q22 (5 marks): There are only red counters and yellow counters in a box. 3 5 of the counters are red. Sophie takes at random two counters from the box. The probability that th
- November 2024, Paper 3H, Q4 (4 marks): Dan is playing cards. The probability that he will win a game of cards is 0.3 Dan plays two games of cards. (a) Complete the probability tree diagram. Game 1 Ga
- June 2024, Paper 1H, Q16 (2 marks): There are only n orange sweets and 1 white sweet in a bag. Saira takes at random a sweet from the bag and eats the sweet. She then takes at random another sweet
- June 2024, Paper 2H, Q18 (5 marks): There are only 4 red counters, 3 yellow counters and 1 green counter in a bag. Tony takes at random three counters from the bag. Work out the probability that t
- June 2024, Paper 3H, Q6 (4 marks): Tim has two biased coins, coin A and coin B. He is going to throw both coins. The probability that coin A will land on heads is 0.6 The probability that coin B
- November 2023, Paper 1H, Q18 (4 marks): Spinner A and spinner B are each spun once. The probability that spinner A lands on red is 1 4 The probability that both spinner A and spinner B land on red is
- November 2023, Paper 2H, Q10 (5 marks): Shakir has to complete two tests. He can either pass or fail each test. The probability that he will pass the first test is 0.87 If he passes the first test the
- June 2023, Paper 1H, Q12 (3 marks): Martha plays a game twice. The probability tree diagram shows the probabilities that Martha will win or lose each game. 1st game 2nd game 2 win 9 win 5 8 7 lose
- June 2023, Paper 2H, Q22 (2 marks): There are only blue pens and red pens in a box. The number of blue pens is four times the number of red pens. Rita takes at random one pen from the box. She rec
- June 2023, Paper 3H, Q24 (5 marks): There is a total of y counters in a box. There are x pink counters and 5 blue counters in the box. The rest of the counters are green. x : y = 1 : 3 Freda takes
- November 2022, Paper 1H, Q10 (4 marks): Lina spins a biased 5-sided spinner 40 times. 4 2 1 5 3 Here are her results. Score 1 2 3 4 5 Frequency 6 8 9 7 10 Lina is now going to spin the spinner another
- November 2022, Paper 1H, Q20 (3 marks): Alfie has 11 cards. He has 3 blue cards 7 green cards and 1 white card. Alfie takes at random 2 of these cards. Work out the probability that he takes cards of
- November 2022, Paper 3H, Q6 (4 marks): One weekend the Keddie family is going to do a sports quiz and a music quiz. The probability that the family will win the sports quiz is 0.3 The probability tha
- June 2022, Paper 1H, Q16 (4 marks): A first aid test has two parts, a theory test and a practical test. The probability of passing the theory test is 0.75 The probability of passing only one of th
- June 2022, Paper 3H, Q21 (4 marks): Ray has nine cards numbered 1 to 9 1 2 3 4 5 6 7 8 9 Ray takes at random three of these cards. He works out the sum of the numbers on the three cards and record
- November 2021, Paper 1H, Q16 (4 marks): There are only 3 red counters and 5 yellow counters in a bag. Jude takes at random 3 counters from the bag. Work out the probability that he takes exactly one r
- November 2021, Paper 2H, Q20 (4 marks): In a village, if it rains on one day, the probability that it will rain on the next day is 0.8 if it does not rain on one day, the probability that it will rain
- November 2021, Paper 3H, Q20 (2 marks): Pat throws a fair coin n times. Find an expression, in terms of n, for the probability that Pat gets at least 1 head and at least 1 tail.
- November 2020, Paper 1H, Q14 (3 marks): Sally plays two games against Martin. In each game, Sally could win, draw or lose. In each game they play, the probability that Sally will win against Martin is
- November 2020, Paper 2H, Q20 (8 marks): There are only red sweets and yellow sweets in a bag. There are n red sweets in the bag. There are 8 yellow sweets in the bag. Sajid is going to take at random
- November 2020, Paper 3H, Q5 (4 marks): Amanda has two fair 3-sided spinners. 1 1 2 2 3 3 Spinner A Spinner B Amanda spins each spinner once. (a) Complete the probability tree diagram. Spinner A Spinn
- November 2019, Paper 2H, Q16 (3 marks): Marek has 9 cards. There is a number on each card. 1 2 3 4 5 6 7 8 9 Marek takes at random two of the cards. He works out the product of the numbers on the two
- November 2019, Paper 3H, Q11 (3 marks): The probability tree diagram shows the probabilities that Bismah will be late for work on two days next week. Monday Tuesday late 0.02 late 0.07 0.98 not late l
- November 2019, Paper 3H, Q21 (2 marks): When a biased coin is thrown 4 times, the probability of getting 4 heads is Work out the probability of getting 4 tails when the coin is thrown 4 times.
- June 2019, Paper 2H, Q10 (5 marks): Mary travels to work by train every day. The probability that her train will be late on any day is 0.15 (a) Complete the probability tree diagram for Thursday a
- November 2018, Paper 1H, Q22 (6 marks): There are only green pens and blue pens in a box. There are three more blue pens than green pens in the box. There are more than 12 pens in the box. Simon is go
- November 2018, Paper 2H, Q16 (4 marks): There are only red counters and blue counters in a bag. Joe takes at random a counter from the bag. The probability that the counter is red is 0.65 Joe puts the
- June 2018, Paper 2H, Q15 (5 marks): A darts team is going to play a match on Saturday and on Sunday. The probability that the team will win on Saturday is 0.45 If they win on Saturday, the probabi
- June 2018, Paper 3H, Q4 (2 marks): When a biased 6-sided dice is thrown once, the probability that it will land on 4 is 0.65 The biased dice is thrown twice. Amir draws this probability tree diag
- June 2018, Paper 3H, Q20 (5 marks): 50 people were asked if they speak French or German or Spanish. Of these people, 31 speak French 2 speak French, German and Spanish 4 speak French and Spanish b
- November 2017, Paper 2H, Q21 (4 marks): is 4 marks)
- November 2017, Paper 3H, Q12 (3 marks): Alan has two spinners, spinner A and spinner B. Each spinner can land on only red or white. The probability that spinner A will land on red is 0.25 The probabil
- June 2017, Paper 1H, Q17 (4 marks): There are 9 counters in a bag. 7 of the counters are green. 2 of the counters are blue. Ria takes at random two counters from the bag. Work out the probability
- June 2017, Paper 2H, Q12 (2 marks): There are 30 students in Mr Lear’s class. 16 of the students are boys. Two students from the class are chosen at random. Mr Lear draws this probability tree dia
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