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Question 1 of 8

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A synthetic classification records two properties for each device

Event A: the device is portable. Event B: the device is rechargeable

Let S be the sample space of all 31 recorded cases

The counts in the four disjoint regions are shown below

The four regions contain every recorded case exactly once
RegionCount
A only15
B only10
A and B0
Neither A nor B6

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

(a)1 mark

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

(b)1 mark

What is the exact probability that the device is portable, but the device is not rechargeable?

Format: exact fraction