Challenge Problem #3
### An Exercise in Statistics

We saw in lecture 24 that there is an experiment with 256 outcomes.
One outcome T has probability about 5%, and the remaining 255 outcomes
have probability 95/255% or about .04%. We don't know the value of the
higher-probability outcome. We are wondering how many
trials are required to find it.

Your job is to find a formula to determine this. Give a formula (or
a program, if you prefer) which computes the probability that T will
be the majority result in our trials, given n trials. (So, your
parameter is n, and the output of your formula is p.)

Example (which is not correct, by the way): if I run 20 trials, then
with probability .62, T will be the majority element in the outcomes
of those trials.

You could also graph this function if you wanted to really be snazzy.

**Extra Credit Points: ** 10