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Question 1 of 8

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A set of paper samples is classified by two binary properties

Event A means an item has a square mark; event B means an item is folded once. The sample space is S, and the complements are A′ and B′

Event B is shown in the rows and event A 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

ANot ATotal
B9110
Not B11?20
Total201030
(a)1 mark

Complete the missing table entry

(b)1 mark

Find \(\Pr(A\cap B)\), the probability of both properties (has a square mark and is folded once)

Format: exact probability