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Consider a random experiment where a fair 6-faced die is rolled twice. Let X be the outcome of the first roll (either 1,2,3,4,5,or 6) and
Consider a random experiment where a fair 6-faced die is rolled twice. Let X be the outcome of the first roll (either 1,2,3,4,5,or 6) and Y be the the outcome of the second roll (either 1,2,3,4,5,or 6). Define also Z as the sum of the two outcomes, that is Z=X+Y. What is P(Z>10 | Z is even)? Assume the outcomes in each roll are independent.
A) 0.50
B) 0.083
C) 0.056
D) 0.028
E) 0.056
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