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An urn contains 100 balls that have the numbers 1 to 100 painted on them (every...

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Basic Math

An urn contains 100 balls that have the numbers 1 to 100 paintedon them (every ball has a distinct number). You keep sampling ballsuniformly at random (i.e., every ball is equally likely to bepicked), one at a time, and without replacement. For 1 ? i < j ?100, let Ei,j denote the event that the ball with number j waspicked after the ball with number i got picked. Identify which ofthe following sets of events are independent and which are not:

(a) E7,13 and E41,79

(b) E7,13 and E13,8

(c) (E7,13 ? E13,8) and E8,7

Please show work

Answer & Explanation Solved by verified expert
3.9 Ratings (759 Votes)
Total number of balls 100given let Eij denote the event that the ball with number j was pickedafter the ball with a number I got pickedLook at option aSince there are showing 2 balls are chosen at an event E 713and event E41 79Therefore the total number of ways of choosing    See Answer
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