My friends and i were out at a local casino in SD recently, we had a spacey blackjack dealer who wasnt paying much attention. My friend was dealt (7,7) and the dealer had a 2 for her up card. we were sitting at a 6 deck shoe and according to "basic strategy" you split them. he had a 25 dollar bet, so he puts out another $25 to split. she splits it and gives him another 7, he puts out another $25 to split again, but she mistakenly assumed he was doubling down on 7,7 (hard 14) and deals him another 7 laid horizontally making his hand a 21. We were all shocked as to why she would assume anyone would double down on 7,7 or hard 14, but was humored by the fact that he got 21 from that mistake. However, he wanted the mistake corrected and said that he would rather have an extra split hand...making 4 different hands of 7s without knowing the accompanied card. We talked him out of it becuase we thought it was an automatic, guaranteed 21 on a double down hand.
now the question is. mathematically should he have accepted the mistake by the dealer and kept the 21 on the doubled hand of 7,7 or should he have gone with his gambling intuition and split the 7s again to make 4 hands against the deuce??