“It’s disappointing because I went 0-4, and that’s four points to the European team,” Woods said. “And I’m one of the contributing factors to why we lost the Cup, and it’s not a lot of fun. It’s frustrating because we came here, I thought we were all playing pretty well, and I just didn’t perform at the level that I had been playing, and just got behind early in the matches and never got back.”

Woods, 42, is now 13-21-3 over all at the Ryder Cup.

Olesen, who had not been picked to play at all on Saturday, overwhelmed the American star Jordan Spieth, 5 and 4. Poulter, a 42-year-old Englishman who has long been a team leader on and off the course, remained unbeaten in singles by defeating Dustin Johnson, 2 up.

That gave Europe 13 points and guaranteed a victory with Stensen, García and Molinari still on the course but assured of at least a half-point in all of their matches.

It was left, quite appropriately, to Molinari to make it official. And though the struggling Mickelson, who was held out of Saturday’s team matches, had been able to cut Molinari’s lead to a single hole with a long birdie putt on the 11th hole, he soon lost his touch again.

When Mickelson’s tee shot on the par-3 16th failed to reach dry land, he winced, doffed his cap and conceded the obvious, and the match, to Molinari.

“This could very well, realistically, be my last one,” the 48-year-old Mickelson said of the Cup. “But with these guys, I’m motivated now to work hard and not go out on this note.”

Like Mickelson’s final shot, Molinari was soon soaked, doused with Champagne and surrounded by teammates.