(a)[2]
Fill in the Venn diagram.
(b)[1]
Find the value of n(G).
(c)[1]
Calculate the probability that the student studies neither History nor Geography.
Mathematics 0580 · IGCSE · Sets
Sets — practice question
E = {students in a year group}, H = {students who study History}, G = {students who study Geography}. There are 80 students in the year group altogether. 40 students study History. The Venn diagram shows 10 in the History-only region and 15 outside both sets.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Venn diagram entries: H only = 10, intersection = 30, G only = 25, outside = 15” …
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