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7. Pairwise Independence. Roll a red 4-sided die and a white 4-sided die. A: the red die is even B: the white die is even C: the sum of the two dice is even a) Show that A, B, and C are pairwise independent. b) Show that A n B and C are NOT independent. 8. Roll a red 6-sided die and a white 6-sided die. D: red die is 1 or 2 or 3 Show that P(D กั E F)-P(D)P(E)P(F) but D, E and F are NOT independent. E: white die is 4 or 5 or 6 F: the sum of the two dice is 5

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