In Geometric Distribution, I am getting the probability for doing $x$ number of trials and get my first success with each trial of probability $p$.
So suppose I want to find what's the probability of doing 30 trials and get my first success on the 30th trial, I do this: $ P(X=30)=(1-p)^{30-1}p$
Now, then if I want to find the probability for not getting a single success at all even after doing $30$ trials on this same distribution, what should I do? The parameters of the Geometric Distribution doesn't seem to let me find this.
I thought of using like $1$ minus the CDF of 30 trials of the geometric distribution but I am not sure if it would be accurate.