Babok competed for the Croatian swimming team in the women's 50 m freestyle, as Croatia's youngest swimmer (aged 16), at the 2008 Summer Olympics in Beijing. She qualified for the Games with a 26.25 to eclipse the insurmountable FINA B-cut (26.32) by 0.07 of a second at the European Championships in Eindhoven, Netherlands. Swimming as the fastest entrant in heat seven, Babok could not produce her pre-Olympic effort with 26.84 to accept the seventh spot in a splash-and-dash finish. Babok failed to advance into the semifinals, as she placed forty-ninth overall out of 92 swimmers in the prelims.