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1 of 8 0-day streak

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 sample message

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

The sample space \(S\) contains 34 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 unread and attached. inside A only is labelled 7; inside B only is labelled 12; inside both A and B is labelled 13; outside both sets is labelled 2SAB712132
(a)1 mark

Identify the part of the diagram for \(A\cap B^{\prime}\)

(b)1 mark

Read the diagram and give the count for inside A only

Format: whole number
(c)1 mark

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

Format: whole number