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Venn regions, set language and probability

DIFFICULTYintrostandardchallenge
QUESTION TYPEMix of allChange
Identify and count A onlyIdentify and count B onlyIdentify and count A and BIdentify and count outside both setsIdentify and count A or BNOWMix of allRecommended
Question 1 of 8

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A synthetic classification records two properties for each library book

Let \(A\) be the set of items classified as fiction, and let \(B\) be the set of items classified as borrowed

The sample space \(S\) contains 41 items

One item is selected uniformly at random from S; every item has the same chance of selection

Venn diagram in universe S with sets fiction and borrowed. inside A only is labelled 13; inside B only is labelled 9; inside both A and B is labelled 6; outside both sets is labelled 13SAB139613
(a)1 mark

Which part of the diagram represents \(A^{\prime}\cap B^{\prime}\)?

(b)1 mark

How many items are outside both sets?

Format: whole number
(c)1 mark

How many items are in set \(A\) altogether?

Format: whole number