Question: Toss two dice. Let A be the event that the first die rolls 1, 2, or 3. Let B be the event that the first

Toss two dice. Let A be the event that the first die rolls 1, 2, or 3. Let B be the event that the first die rolls 3, 4, or 5. Let C be the event that the sum of the dice is 9. Show that P(ABC) = P(A)P(B)P(C), but no pair of events is independent.

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