CAIE IGCSE Mathematics Extended E8.4.1 Conditional Probability

Practise restricting the sample space after a condition and calculating probabilities from trees, Venn diagrams or tables.

Syllabus
2028–2030
Objective
E8.4.1
Level
Extended

Exam points

  • restrict numerator and denominator to outcomes satisfying the given condition
  • use a Venn region or table row as the reduced sample space
  • combine transfer and selection branches when the first action changes the second bag

E8.4.1 Calculate conditional probability using Venn diagrams, tree diagrams question 1

[Maximum number: 2]
Figure for Question E8.4.1 Calculate conditional probability using Venn diagrams, tree diagrams question 1 — CAIE IGCSE Mathematics Extended

50 students are asked if they like English ( E ) and if they like mathematics ( M ). 3 say they do not like English and do not like mathematics.
33 say they like English.
42 say they like mathematics.

Two students who like English are chosen at random.

Find the probability that they both also like mathematics.

All question bank results loaded