Probability: Edexcel International A Level Further Maths questions
Every Edexcel International A Level Further Maths exam question on S1.3 Probability, 2019–2025, with its mark scheme and examiner’s report.
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All 25 questions on Probability, as a list
- June 2025, AS Statistics 1 (S1), Q4 (4 marks): Two events C and D are such that P(C ∪ D) = 0.59 P(D) = 0.45 P(C ½ D) = 0.2 Find the value of (a) P(C ∩ D) (b) P(C)
- June 2025, AS Statistics 1 (S1), Q7 (13 marks): Riley has a bag containing 3 white beads and 6 yellow beads only. Two beads are selected at random from the bag, one at a time without replacement. (a) Complete
- January 2025, AS Statistics 1 (S1), Q3 (6 marks): A factory makes rugs and blankets from wool or cotton or polyester. • 30% of the items made are rugs and 70% of the items made are blankets • 60% of the rugs ar
- January 2025, AS Statistics 1 (S1), Q4 (9 marks): A manufacturer of pet food gives samples of three new flavours of cat food, A, B and C, to each of 100 customers who each own one cat. These customers are surve
- October 2024, AS Statistics 1 (S1), Q3 (8 marks): A group of 200 adults were asked whether they read cooking magazines, travel magazines or sport magazines. Their replies showed that • 29 read only cooking maga
- October 2024, AS Statistics 1 (S1), Q7 (9 marks): A box contains only red counters and black counters. There are n red counters and n + 1 black counters. Two counters are selected at random, one at a time witho
- June 2024, AS Statistics 1 (S1), Q6 (13 marks): The Venn diagram shows the probabilities related to teenagers playing 3 particular board games. C is the event that a teenager plays Chess S is the event that a
- January 2024, AS Statistics 1 (S1), Q3 (8 marks): In a sixth form college each student in Year 12 and Year 13 is either left‑handed (L) or right‑handed (R). The partially completed tree diagram, where p is a pr
- January 2024, AS Statistics 1 (S1), Q6 (9 marks): The events A and B satisfy P(A) = x P(B) = y P(A ∪ B) = 0.65 P(B | A) = 0.3 (a) Show that 14x + 20y = 13 The events B and C are mutually exclusive such that P(B
- October 2023, AS Statistics 1 (S1), Q1 (11 marks): Sally plays a game in which she can either win or lose. A turn consists of up to 3 games. On each turn Sally plays the game up to 3 times. If she wins the first
- October 2023, AS Statistics 1 (S1), Q3 (12 marks): (i) Bob shops at a market each week. The event that Bob buys carrots is denoted by C Bob buys onions is denoted by O At each visit, Bob may buy neither, or one,
- June 2023, AS Statistics 1 (S1), Q4 (9 marks): A bag contains a large number of coloured counters. Each counter is labelled A, B or C 30% of the counters are labelled A 45% of the counters are labelled B The
- June 2023, AS Statistics 1 (S1), Q6 (9 marks): Three events A, B and C are such that P (A) = 0.1 P (B½A) = 0.3 P (A ∪ B) = 0.25 P (C ) = 0.5 Given that A and C are mutually exclusive (a) find P (A ∪ C ) (b)
- January 2023, AS Statistics 1 (S1), Q2 (10 marks): Two bags, X and Y, each contain green marbles (G) and blue marbles (B) only. • Bag X contains 5 green marbles and 4 blue marbles • Bag Y contains 6 green marble
- January 2023, AS Statistics 1 (S1), Q4 (13 marks): (i) In the Venn diagram below, A and B represent events and p, q, r and s are probabilities. A B p q r s P P P ( ) ( ) A A B A B 7 25 1 5 8 25 B ' ' (a)
- October 2022, AS Statistics 1 (S1), Q6 (11 marks): The Venn diagram shows the events A, B, C and D, where p, q, r and s are probabilities. A 0.13 0.12 C p q r D B s (a) Write down the value of (i) P(A) (ii) P(A½
- June 2022, AS Statistics 1 (S1), Q4 (11 marks): The events H and W are such that P(H) = 3 8 P(H ∪ W) = 3 4 Given that H and W are independent, (a) show that P(W) = 3 5 The event N is such that P(N) = 1 15 P(H
- January 2022, AS Statistics 1 (S1), Q1 (11 marks): A factory produces shoes. A quality control inspector at the factory checks a sample of 120 shoes for each of three types of defect. The Venn diagram represents
- October 2021, AS Statistics 1 (S1), Q1 (7 marks): The Venn diagram shows the events A, B and C and their associated probabilities, where p and q are probabilities. E 0.4 A B C 0.04 0.06 0.3 q p (a) Find P(B) (b
- October 2021, AS Statistics 1 (S1), Q4 (13 marks): Three bags A, B and C each contain coloured balls. Bag A contains 4 red balls and 2 yellow balls only. Bag B contains 4 red balls and 1 yellow ball only. Bag C
- June 2021, AS Statistics 1 (S1), Q1 (5 marks): There are 7 red counters, 3 blue counters and 2 yellow counters in a bag. Gina selects a counter at random from the bag and keeps it. If the counter is yellow s
- June 2021, AS Statistics 1 (S1), Q2 (12 marks): In the Venn diagram below, A, B and C are events and p, q, r and s are probabilities. The events A and C are independent and P(A) = 0.65 A B q p 0.13 r C s (a)
- January 2021, AS Statistics 1 (S1), Q1 (5 marks): The Venn diagram shows the events A, B and C and their associated probabilities. A B 0.15 E C 0.20 0.17 0.23 0.12 0.13 Find (a) P(Bʹ) (b) P(A ∪ C) (c) P(A | Bʹ)
- January 2021, AS Statistics 1 (S1), Q6 (15 marks): A disc of radius 1 cm is rolled onto a horizontal grid of rectangles so that the disc is equally likely to land anywhere on the grid. Each rectangle is 5 cm lon
- October 2020, AS Statistics 1 (S1), Q2 (13 marks): In a school canteen, students can choose from a main course of meat (M ), fish (F ) or vegetarian (V ). They can then choose a drink of either water (W ) or jui
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