There are tons of fair bitcoin gambling games here like crypto-games, luckybit, bustabit, bitkong, bitsler, fastbets and many more. As long as you can verify your own bet, the game is fair for me.
Already gambling websites have been programmed in such a manner to get good profit from theusers. Again the bad luck of the users gives more profit for the gambling house. An example for this is the recent days popularity of gambling websites as well the profit they've made. I think you are confused as what ever you said is correct but just check the highlighted one you are telling that in long term house edge is making profit and same you are telling in short term house always wins due to greedy of players. How can in short term gambling becomes greedy, it should be like this that if any site is going down or in loss it is due to that their are some players who are playing for short term and as soon as they are in profit they just withdraw and go away so this way only the house edge are in loss, because in long term only mainly they are in profit. Because greediness comes only when in short term you start to earn and then you start to play for long and here you start to lose it.
I think the house could still win in the short term if their players are having a bad luck. There's always no gurantee of making profit in the short term as the game is so random you could lose right away in your first couple of dice rolls.
