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SELECTED PROBLEM SOLUTIONS

SOLUTIONS FOR CHAPTER 1

1.1 AB = {(H, H, T), (H, T, T)}; AB = {(H, H, H), (H, T, H), (T, H, T), (T, T, T), (H, H, T), (H, T, T)}; Ac = {(T, H, H), (T, T, H), (T, H, T), (T, T, T)}; AcBc = {(T, H, H), (T, T, H)}; ABc = {(H, T, H), (H, H, H)}

1.2 a) ABCc b) ABC c) ABcCc d) ABC e) E = (ABcCc)∪(AcBCc)∪(AcBcC)∪(AcBcCc) f) D = E∪(ABCc)∪(AcB ∩ C) ∪ (ABcC)

1.3 a) {(2,2), (2,3), (4,2)} c)

1.5 a) B = b) C = c) D = d) E = CD

1.6 a) E1 = ABC b) E2 = (ABCc) ∪ (ABcC) ∪ (AcBC) c) E3 = E2 ∪ (ABC) d) E4 = (ABcCc) ∪ (AcBCc) ∪ (AcBcC) ∪ (AcBcCc)

1.7 33%; 60%

1.9 = {, Ω}; = {, {1}, {2, 3, 4}, Ω}; = {,{1},{2}, {1,2}, {3,4}, {2,3,4}, {1,3,4}, Ω}; = {, {1}, {2}, {3}, {4}, ...

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