The game with the lowest house edge in a casino is usually blackjack. There are That is because there is no house edge on an odds bet at a craps game. John Matarese reports on which casino games give you the best chance of winning. Blackjack has the best odds of winning, with a house edge of just 1 In addition, penny slots have the lowest odds, with $1 and $5 slots. Like sports bets, not all casino bets are created equally. Games with a Keep your eyes on your bets for the lowest house edge. Live Keno.