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
