A box contains the following four slips of paper, each havingexactly the same

Chapter 2, Problem 113

(choose chapter or problem)

A box contains the following four slips of paper, each havingexactly the same dimensions: (1) win prize 1; (2) winprize 2; (3) win prize 3; (4) win prizes 1, 2, and 3. One slipwill be randomly selected. Let ,, and . Show that A1and A2 are independent, that A1 and A3 are independent,and that A2 and A3 are also independent (this is pairwiseindependence). However, show that, so the three events are not mutuallyindependent.

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