Systems and methods for playing live casino-type card games, in particular blackjack. The systems include a presentation unit which has video displays which portray virtual playing cards and other information at gaming tables attended by live participants. Shuffling, cutting, dealing and return of playing cards are accomplished using data processing functions within an electronic game processor or processors which enable these functions to be performed quickly and without manual manipulation of playing cards. The invention allows casinos to speed play and reduce the risk of cheating while maintaining the attractive ambiance of a live table game. The processor can also associate one or more slot symbols with the virtual playing cards so that jackpots can be awarded on the basis of winning slot symbols or combinations of symbols.