(Hacking Passwords) A group of hackers tries to break a system that is secured by a n bit password. 1. Suppose that the group of hackers tries passwords at random, discarding those that do not work, what is the probability that they will get into the system on their kth try? 2. The security group in charge of the system decide to reinforce security by periodically changing the password. The hackers, are aware of this ans so can no longer discard previously tried passwords. So they now try passwords at random without discarding previously attempted ones. What is now the probability that they will get into the system on their kth try?