He has a $\frac{1}{8}$ chance to hit my hero with each attack of c'thun (a card in the game hearthstone). C'thun has $30$ attacks in this situation. So he manages to hit me all $30$ times out of $30$ with $\frac{1}{8}$ chance each time.
What's the actual odds of this happening? Do we just do binomial distribution for this? Number of trials would be $n = 30$, probability of success would be $0.125$
That gives me the answwer of $\approx8.07794\times10^{-28}$
Is this correct? If so or if not, can someone show me the formula set up with my example?