The house might try to cheat you, but only in smaller backwater places – except blackjack tables that only pay out 6 to 5 for blakjack of course, they’re robbing you in pain sight.  If they are going to cheat, single-deck blackjack is one of the easiest blackjack games to cheat at with skilled dealers bottom dealing and the like.  Multi-deck shoes can be rigged of course, however, this leaves physical evidence of cheating so even casinos that wanted to cheat would think twice about tampering with their hardware.  My suggestion would be to read about it and familiarize yourself with the main ways casinos cheat.  If you suspect something funny just leave the game and report them to the relevant gaming commission.