Probability — IGCSE Mathematics - International (0607) questions by topic

Probability is the smallest topic on the page: finding a missing probability from stated outcomes for coloured balls, giving reasons why a die's observed frequencies suggest bias, completing a two-stage tree diagram for phone faults, and finding the probability of an event occurring at least twice across three rolls.

Find, work out, give and complete lead the command words, worth from 3 to 6 marks, across just 5 questions from 2025 papers. Because 'give reasons' questions want a reasoned comparison against expected frequency rather than a bare observation, practise stating what a fair outcome would look like before pointing out the difference, then use instant marking to check whether your bias explanation was properly justified.

May–June 2025, Paper 11

Question 15 · 3 marks

A box contains 40 balls. Each ball in the box is white, yellow or orange. One ball is chosen at random from the box and replaced. The probability that the ball is white is 0.6.…

Answer this question and get it marked →

May–June 2025, Paper 13

Question 14 · 4 marks

The probability that a new phone has a fault in the first year of use is 0.2 . Pari and Siya each buy a new phone. Complete this tree diagram. The tree has two stages. The first…

Answer this question and get it marked →

May–June 2025, Paper 22

Question 15 · 4 marks

An unbiased die is numbered 2, 3, 4, 4, 5, 6. Zaira rolls the die three times. Find the probability that Zaira rolls an odd number two or more times.

Answer this question and get it marked →

May–June 2025, Paper 23

Question 23 · 6 marks

Bag A contains 4 white balls and 3 black balls. Bag B contains 5 white balls and 4 black balls. Ranjit picks a ball at random from Bag A and replaces it. Ranjit also picks a ball…

Answer this question and get it marked →

May–June 2025, Paper 33

Question 11 · 3 marks

A 6-sided die, numbered 1 to 6, is thrown 400 times. The frequencies are: 1 → 100, 2 → 20, 3 → 80, 4 → 70, 5 → 110, 6 → 20. Give reasons why this is a biased die.

Answer this question and get it marked →

Other IGCSE Mathematics - International topics

← All IGCSE Mathematics - International (0607) past papers