There’s no need to tip the mixologist at the Tipsy Robot, a glittering bar in Las Vegas where automated arms handle all the shaking, stirring, muddling and garnishing, making up to 120 cocktails an hour.

The silver-and-turquoise lounge, in the Miracle Mile Shops mall on the Strip, has 28 counter-style seats, each equipped with a tablet, facing a bar counter topped with two industrial-grade robotic arms. Patrons can order signature and classic cocktails, or fill a virtual cup with up to 14 ingredients of their choosing. Then...