PYEONGCHANG, South Korea — The skier Lindsey Vonn, the last member of the American team to arrive in South Korea for the Winter Olympics, insisted on Friday that she would not be nervous before the three races she planned to enter in her fourth and likely final Games.

“I’m just going to lay it all out there,” a smiling Vonn, considered one of the greatest skiers of all time, said at a news conference.

The first American woman to win the Olympic downhill, at the 2010 Vancouver Games, Vonn missed the 2014 Sochi Olympics because of a knee injury.

“I was much healthier in 2010,” she said. “But in 2018, I’m much stronger mentally.”

In an emotional interlude during her news conference, Vonn broke down in tears as she discussed her grandfather, Don Kildow, who recently died and to whom she has dedicated her races in Pyeongchang.