Posted on 2006-07-08
Suppose there is a bottle of pills, if a whole pill is drawn, it is bitten in half then one of the halves is placed back in the bottle. If a half is drawn, then it is taken and it disappears from the bottle. And every pill, half or whole, is equally likely to be picked.
How could I make a function P(n) that tells me the probability of drawing a half after n trials?