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1 of 8 0-day streak

Complete and use a two-way probability table

Question 1 of 8

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A set of record sheets is classified by two binary properties

Event A means an item has a labelled corner; event B means an item is in the first row. 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
A31215
Not A?510
Total81725
(a)1 mark

Complete the missing table entry

(b)1 mark

Find \(\Pr(A\cap B)\), the probability of both properties (has a labelled corner and is in the first row)

Format: exact probability