Probability — IGCSE Mathematics (0580) questions by topic
Probability questions here work with a box of red and green counters in a given ratio, complete a table of spinner probabilities that must sum to 1, find the probability of not picking a specific colour from a stated probability, and work out the complement of a given probability for picking a counter. Find, calculate, complete, work out and explain want the underlying probability rule shown, such as probabilities summing to 1, not just a final decimal.
27 questions from 2023 to 2025 make up this page, worth between 1 and 11 marks. Because a probability calculated without checking it sums correctly across all outcomes is easy to get subtly wrong, submitting your working for instant marking catches that kind of slip immediately, rather than it only becoming clear once a later part of the question does not add up.
May–June 2025, Paper 11
A box contains 10 counters. The counters are either red or green. The ratio red counters : green counters = 1 : 4. Shareen picks a counter at random, notes its colour and puts it…
Answer this question and get it marked →May–June 2025, Paper 21
A bag contains 6 red marbles, 3 green marbles and 1 blue marble. Two marbles are picked at random from the bag with replacement. Find the probability that both marbles are green.
Answer this question and get it marked →May–June 2025, Paper 22
There are 7 cards, numbered 1, 2, 3, 4, 5, 6, 7. Samira picks one of these cards at random and replaces it. Find the probability that she picks an odd number.
Answer this question and get it marked →May–June 2025, Paper 23
The probability of picking a green pen from a box is 0.17. Find the probability of not picking a green pen from the box.
Answer this question and get it marked →Angela picks a number at random from the numbers 1, 2 and 3. She then picks a number at random from the numbers 4, 5 and 6. She adds the two numbers to find the total. Complete…
Answer this question and get it marked →May–June 2025, Paper 31
A tin contains red, yellow, green and brown sweets. The table shows some of the probabilities of picking a sweet of each colour at random. Colour Red Yellow Green Brown --- ---…
Answer this question and get it marked →May–June 2025, Paper 32
Flo has a bag of counters. She picks a counter at random from the bag. The probability that she picks a green counter is 0.52 . Work out the probability that she does not pick a…
Answer this question and get it marked →May–June 2025, Paper 33
In a bag of counters, 6 of the counters are blue. The arrow on the probability scale shows the probability of picking a blue counter at random. The probability scale runs from 0…
Answer this question and get it marked →May–June 2025, Paper 42
On any day, the probability that the weather will be sunny is 0.7. Find the probability that on any day the weather will not be sunny.
Answer this question and get it marked →The Venn diagram shows information about the 33 students in a class. E = {number of students in a class}, G = {number of students who study geography}, H = {number of students who…
Answer this question and get it marked →May–June 2025, Paper 43
Stephan has two bags, A and B, each containing red sweets and yellow sweets only. He picks two sweets at random, one from bag A and the other from bag B. The probability that…
Answer this question and get it marked →May–June 2023, Paper 11
Eric has four colours of paint. The table shows the probability that he uses each colour: Red 0.3, Blue 0.35, Green 0.13, Yellow x. Find the value of x.
Answer this question and get it marked →May–June 2023, Paper 12
A spinner is spun. The possible outcomes are A, B, C or D. The probability of spinning A, C or D is shown in the table: P(A)=0.2, P(C)=0.05, P(D)=0.35, P(B) unknown. Complete the…
Answer this question and get it marked →May–June 2023, Paper 13
The probability that Tom is late for school is 0.12. There are 200 school days this year. Work out the expected number of times that Tom is late for school this year.
Answer this question and get it marked →A spinner has five sides painted red, blue, green, yellow or orange. The table shows some probabilities: Red 0.3, Blue 0.16, Green 0.18, Yellow 0.25, Orange unknown. Complete the…
Answer this question and get it marked →May–June 2023, Paper 21
Eric has four colours of paint. The table shows the probability that he uses each colour: Red 0.3, Blue 0.35, Green 0.13, Yellow x. Find the value of x.
Answer this question and get it marked →A bag contains 5 green buttons, 2 blue buttons and 6 white buttons. Maya takes two buttons at random from the bag, without replacement. Calculate the probability that one button…
Answer this question and get it marked →May–June 2023, Paper 22
A spinner is spun. The possible outcomes are A, B, C or D. The probability of spinning A, C or D is shown: P(A)=0.2, P(C)=0.05, P(D)=0.35, P(B) unknown. Complete the table.
Answer this question and get it marked →Bag A and bag B each contain red sweets and yellow sweets. Anna picks a sweet at random from bag A; Ben picks a sweet at random from bag B. The probability that Anna picks a red…
Answer this question and get it marked →May–June 2023, Paper 23
A spinner has five sides painted red, blue, green, yellow or orange. The table shows: Red 0.3, Blue 0.16, Green 0.18, Yellow 0.25, Orange unknown. Complete the table.
Answer this question and get it marked →May–June 2023, Paper 31
Maria spins a fair 7-sided spinner numbered 1 to 7. Explain why the probability that the spinner lands on a prime number is 4/7.
Answer this question and get it marked →October–November 2023, Paper 11
The table shows the number of people in a town who are left-handed and the number who are right-handed. Left-handed Right-handed Total --- --- --- --- Number of people 8 400 48…
Answer this question and get it marked →October–November 2023, Paper 13
Rama asks a group of students how they travel to school. The table shows the probability of how a student, chosen at random, travels to school. Bus Walk Car Other --- --- --- ---…
Answer this question and get it marked →A bag contains these cards: 1, 7, 3, 9, 4, 5, 2. One of these cards is picked at random. Find the probability that the number on the card is greater than 3.
Answer this question and get it marked →October–November 2023, Paper 23
Rama asks a group of students how they travel to school. The table shows the probability of how a student, chosen at random, travels to school. Bus Walk Car Other --- --- --- ---…
Answer this question and get it marked →October–November 2023, Paper 41
Lucia has two fair spinners. Spinner A is five-sided, numbered 1, 2, 3, 4, 5. Spinner B is nine-sided, numbered 3, 3, 3, 4, 4, 4, 4, 5, 5. Lucia spins the two spinners and records…
Answer this question and get it marked →October–November 2023, Paper 42
Two fair dice. Dice A is numbered 1, 2, 2, 2, 3, 6. Dice B is numbered 2, 3, 3, 4, 4, 4. Dice A is rolled once. Write down the probability that it lands on the number 6.
Answer this question and get it marked →Other IGCSE Mathematics topics
- Number (230)
- Algebra and graphs (150)
- Geometry (93)
- Mensuration (54)
- Statistics (52)
- Trigonometry (33)
- Transformations and vectors (32)
- Coordinate geometry (16)