James is going to write an exam

Suppose that if he hadn't passed in previous attempts, each time he attempts the exam, he has probability p to pass . The probability that he passes on his first try is 5 times that of passing on his second try.

1) Find E(X)

2) Find the probability that James takes more than 10 times to finish the exam.

3) From (2), deduce that for such distribution, for any n > 0:

P(X > n) = (1 - p)^n

I believe that I should be using binomial distribution in some way. I'm not exactly sure to find the PMF, which I think is required?

Any help is appreciated