Consider flipping a fair coin 5 times, and define the following events:A = 'The very first flip is tails'B = 'The first three flips are tails'C = 'The middle (third) flip is tails'D = 'The last 3 flips are tails'E = 'The very last flip is tails'(a) Which of the following collections of events (if any) are pairwise independent?
A. A, B, C
B. B, C, D
C. B, D, E
D. None of the above
(b) Which of the following collections of events (if any) are mutually independent?
A. A, B, C
B. A, B, D
C. A, C, E
D. None of the above
1) A, B, C
2) B, C, D
3) B, D, E
4) None of the above
