It will depend on payout odds.
Lets say you win 0.9 BTC for each 10 BTC that you bet against a possible running mate.
Furthermore lets say you bet exactly 10 BTC against each of 10 possible running mates.
Your total bet is 100 BTC (10 BTC each times 10 bets).
If one of those possible running mates is actually chosen, you lose the full 10 BTC on that bet and get nothing for it.
On each of the other 9 bets you get your 10 BTC back plus your 0.9 winnings for a total of 98.1 BTC (10.9 BTC each times 9 remaining bets).
So with my example payout odds, after betting 100 BTC you walk away with 98.1 BTC for a 1.9 BTC loss.