$14$ is of the form $\dfrac{A}{B}$, where $A$ and $B$

Four regular non-identical dice are rolled. The probability that the outcome is more thanare 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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