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1 of 8 0-day streak

Conditional probability on Venn diagrams

DIFFICULTYchallenge
QUESTION TYPEMix of allChange
Probability of A given BProbability of B given ANOWMix of allRecommended
Question 1 of 8

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A synthetic classification records two properties for each labelled sticker

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

The sample space \(S\) contains 26 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 circular and green. inside A only is labelled 6; inside B only is labelled 11; inside both A and B is labelled 3; outside both sets is labelled 6SAB61136
(a)1 mark

In \(\Pr(B\mid A)\), which set is known?

(b)1 mark

How many items are in the known set \(A\)?

Format: whole number
(c)1 mark

What is the probability of membership of B given membership of A?

Format: exact fraction