P(A) = 1/2 (half the outcomes have an odd sum)
P(B) = P( (6, 6) ) = 1/36
P(AB) = P(sum is odd and the sum is 12) = P(impossible event) = 0

Test for Independence

P(AB)	=	P(A)P(B)			?
0	=	1 2	.	1 36

Therefore, the events are not independent.

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