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Question 1 of 8

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A set of catalogue labels is classified by two binary properties

Event A means an item has a marked corner; event B means an item is on the round shelf. The sample space is S, and the complements are A′ and B′

Event A is shown in the rows and event B is shown in the columns. Not A and Not B denote the complementary categories. The entries are counts of items

One item is selected uniformly at random from these recorded items

BNot BTotal
A11617
Not A?917
Total191534
(a)1 mark

Complete the missing table entry

(b)1 mark

Find \(\Pr(A\cap B^{\prime})\), the probability of the first property but not the second (has a marked corner, but is not on the round shelf)

Format: exact probability