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Question 1 of 8

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A synthetic classification records two properties for each folder

Event A: the folder is labelled. Event B: the folder is stored online

Let S be the sample space of all 40 recorded cases

The counts in the four disjoint regions are shown below

The four regions contain every recorded case exactly once
RegionCount
A only13
B only2
A and B12
Neither A nor B13

For the requested probability, select one recorded case uniformly at random

(a)1 mark

Which description matches the set notation \(A\cup B\)?

(b)1 mark

Calculate the probability that at least one of these is true: the folder is labelled; the folder is stored online

Format: exact fraction or terminating decimal