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Suppose we roll two fair six-sided dice, one red and one blue. Let A be the event that the two…

Suppose we roll two fair six-sided dice, one red and one blue. Let A be the event that the two dice show the same value. Let B be the event that the sum of the two dice is equal to 12. Let C be the event that the red die shows 4. Let D be the event that the blue die shows 4.

 (a) Are A and B independen

(b) Are A and C independent?

(c) Are A and D independent?

(d) Are C and D independent?

 (e) Are A, C, and D all independent?