# Roll the dice thrice 3

A fair dice is numbered with $$1,-2,0,-1,3,2$$ on its faces.

The probability of getting a sum of 4 after rolling the dice thrice can be expressed as $$\frac{a}{b}$$ where $$a,b$$ are relatively prime.

Find $$a+b$$ .

###### Image Credit: Flickr Gard Rimestad.
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