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Independence on Venn diagrams

DIFFICULTYexam
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 25 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 8; inside B only is labelled 3; inside both A and B is labelled 2; outside both sets is labelled 12SAB83212
(a)1 mark

Find \(\Pr(A\cap B)\)

Format: exact fraction or terminating decimal
(b)1 mark

Find the product \(\Pr(A)\times \Pr(B)\)

Format: exact fraction or terminating decimal
(c)1 mark

Which statement is supported by the exact comparison?