Three Hand Hold'em

I recently saw a new game called Three Hand Hold'em in a casino I frequent. Just from watching the game it seemed pretty weighted in favor of the house. I was wondering what the house edge is? They game works similar to Texas Hold'em. Each player makes 3 equal wagers and is dealt 6 cards. They then place 2 cards by each wager. The house gets 6 cards and takes their best 2 and discards the rest. 5 community cards are then dealt. The game pays 1 to 1 for the Player's first hand, 3 to 1 for the second, and 6 to 1 for the third, but if the first doesn't win the second and third are forfeit regardless of if they win, and the same for the third if the second doesn't win but the first does. Any thoughts?

Where did you see the game? The idea is better than average, at least in my opinion. I could see how the game would initially beat down the players. The strategy is probably complicated, and nobody knows it. If I were behind the game, I would put it at almost a 0% house edge at first, and count on mistakes in strategy for the profit.

This would also be a bear to analyze. I count 2,059,501,377,037,100,000 combinations of cards. My compliments to whoever is the math guy behind in. Anyway, if it is anywhere near Vegas I’ll have a look for it.

I saw the game at Red Hawk Casino in California, about an hour and a half west from Lake Tahoe. I'm surprised, I thought the game would have a massive house edge. I'm sure it would be insane but I would be interested to see the strategy for it. Thanks!