# An Unlucky Situation

There is an unbiased cubical die with its faces labeled as $$A, B, C, D, E$$ and $$F$$. If the die is thrown $$13$$ times, what is the probability that no two consecutive throws show up consonants?

The answer is of the form $\dfrac{a \times b }{c^{d}}$

where $$a,b,c$$ are co-prime while $$c,d$$ are not .

Find $$a\times b\times c\times d$$ .





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