# Gambling probability problem

#### zstudds

##### New Member
A slot machine works on inserting a $1 coin. If the player wins, the coin is returned with an additional$1 coin, otherwise the original coin is
lost. The probability of winning is 1/2 unless the previous play has resulted
in a win, in which case the probability is p < 1/2. If the cost of maintaining
the machine averages \$c per play (with c < 1/3), give conditions on the value
of p that the owner of the machine must arrange in order to make a prot in
the long run.

#### vinux

##### Dark Knight
What have you done on this problem? If it looks difficult, start with when c=0.