Search topics

Search
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

No calculator

A synthetic classification records two properties for each sample token

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

The sample space \(S\) contains 42 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 marked and numbered. inside A only is labelled 10; inside B only is labelled 7; inside both A and B is labelled 8; outside both sets is labelled 17SAB107817
(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