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In rolling three fair dice, the probabil...

In rolling three fair dice, the probability of that `x^(3)+ax^(2)+bx+c` is strictly increasing for all `x in R` where `a,b,c` are the numbers on the three dice `D_(1),D_(2),D_(3)`, respectively.
1) `(5)/(12)` 2) `(84)/(216)` 3) `(80)/(216)` 4) `(96)/(216)`

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