Use multinomial distribution with $p_i = 1/8$, $n=93, n_1 = 33, n_2 = 7, n_3 = 8, n_4 = 1, n_5 = 2, n_6 = 0, n_7 = 5, n_8 = 37$ for i = 1 to 8. The required prob = $$\frac{93!}{33!\cdot7!\cdot8!\cdot1!\cdot2!\cdot0!\cdot5!\cdot37!}\cdot{(\frac{1}{8})}^{93}$$
http://en.wikipedia.org/wiki/Multinomial_distribution

Probability of a certain result obtaioned by throwing an octahedron
Why does the following code produce different result? In my mental model, they should be the same.

Table[With[{x = i^k}, HoldForm[x]], {k, 1, 5}]
With[{x = i^k}, HoldForm[x]] // Table[#, {k, 1, 5}] &amp;


Output:

{i,i^2,i^3,i^4,i^5}
{i^k,i^k,i^k,i^k,i^k}

