Cochran won three World Cup races, two in giant slalom and one in slalom, and had 15 podiums and fifty top ten finishes. The first victory came in February 1971 close to home, in Quebec at Mont St. Anne, with sister Barbara as runner-up. She competed in all three events at the Winter Olympics in 1972 in Japan, but with disappointing results: 28th in downhill, 20th in giant slalom, and a fall in the first run of the slalom, the race won by her sister. At the World Championships in 1974 in Switzerland, she finished eighth in giant slalom, and retired from international competition after the season.