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Probability : Independent Events and Dice Rolls

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1. Three dice, 1, 2, and 3, are rolled independently.
? Event A12 is that dice 1 and 2 show the same number.
? Event A13 is that dice 1 and 3 show the same number.
? Event A23 is that dice 2 and 3 show the same number.
(a) Are events A12 and A13 independent?
(b) Are the three events independent?

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Probability, Independent Events and Dice Rolls are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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We know, event A and event B are independent if and only if P(A intersect B)=P(A)P(B).
Since the three dice ...

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