Geometric distribution Let X be distributed as a geometric with a probability of success of 0. Find the probability it takes 10 or more trials to get...

Geometric distribution

Let X be distributed as a geometric with a probability of success of 0.10.

Find the probability it takes 10 or more trials to get the first success.

What is the probability that it takes an even number of trials to get the first success, i.e., P(X=2,4,6,8,...)