GCSE · Venn diagrams & set notation

Probability from Venn diagramsExam-style questions

Why the denominator is always the total in the universal set — outsiders included — where P(A ∪ B) = P(A) + P(B) − P(A ∩ B) comes from in the picture, and how a "given that" condition shrinks the denominator to one circle.

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11 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Here is a Venn diagram for $40$ students showing who studies French (F) and Spanish (S).A student is picked at random. Work out the probability that they study both languages.
Level 1 · 1 markTry it
2
Here is a Venn diagram for $40$ students showing who studies French (F) and Spanish (S).A student is picked at random. Work out the probability that they study French.
Level 1 · 2 marksTry it