New York University STAT-UB STAT-UB 515 Chuck-a -luck ” is played by simultaneously rolling 3 dice….
c)Let Ai denote the event that the number 6 appears i times, where i = 0, 1, 2, 3.Compute :
(i)P (A0) = (ii)P (A1) = (ii)P (A2) = (iv)P (A3) =
c) Are the events Ai and B pairwise disjoint? pairwise independent? [ hint :calculate P (Ai ∩ B) for i = 0, 1, 2, 3.]
d) Are the events Ai and B are mutually independent?
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