# Even 4 dice can create havoc

Four regular non-identical dice are rolled. The probability that the outcome is more than $$14$$ is of the form $$\dfrac{A}{B}$$, where $$A$$ and $$B$$

are co-prime integers.

Find the value of $$B-A$$.

$$\textbf{Details and Assumptions}$$

• Outcome means

$$\displaystyle\sum_{n=1}^{4}(\text{number appearing on} \ n^{\text{th}} \ \text{die})$$

• The four dice are regular ones, numbered $$1, \ 2, \ \cdots , \ 6$$.

• The four dice are not identical. You can consider them to be of four different colors.

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