Mathematics 0580 · IGCSE · Sets

Sets — practice question

The Venn diagram indicates how many elements fall in each section. Set $A$ only has 3 elements, $A \cap B$ has 7 elements, $B$ only has 12 elements, and the part outside both sets has 5 elements.
(a)[1]

Find the value of $n(A \cap B')$.

(b)[1]

Find the probability that this element belongs to set $B$.

(c)[1]

Find the probability that this element is also in set $B$.

(d)[1]

Shade region $(A \cup B)'$ on the Venn diagram.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The answer is $3$.

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