There are three horses numbered 1,2, and 3. You have $1 to make bets. You may make bets in fractions of dollars. If horse 1 wins, you get $2 back for a $1 bet. If horse 2 wins, you receive $4 back for a $1 bet. If horse 3 wins, you receive $6 back for a $1 bet. Note that you do not receive your initial bet back. There is an arbitrage here. Find the maximum guaranteed profit that can be made from this arbitrage.
