CAIE IGCSE Mathematics Conditional Probability Questions

Practise restricting the sample space to a stated condition, then calculating probabilities from Venn regions, listed outcomes or selections without replacement.

Exam points

replace the original denominator with the number of outcomes satisfying the given condition
count the required intersection inside a Venn region or filtered list before forming the fraction
for two selections, update both numerator and denominator after the first item is chosen

Covered syllabus points

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

[Maximum number: 2]

Figure for Question E8.4 Conditional probability 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.

$\frac{63}{88}$ oe
FT their 28
M1 for $\frac{\text{their }28}{33}\times\frac{\text{their }28-1}{32}$

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Covered syllabus points

E8.4 Conditional probability question 1