Couples' tapping of Woods as the 11th member the U.S. team was expected -- he had already announced Woods would be chosen despite his recent personal and professional struggles.
But who would round out the U.S. squad remained a mystery until FedEx Cup champion Haas got the nod. Haas claimed the $10 million Cup Sunday with a victory at The Tour Championship.
"It was a very close race (for Haas) with Brandt Snedeker and Keegan Bradley," Couples said. "Knowing he had to win (last week) to be on the team, he went out and did it."
Other U.S. members for the Nov. 17-20 event in Australia include Matt Kuchar, Steve Stricker, Dustin Johnson, Webb Simpson, Nick Watney, Phil Mickelson, Bubba Watson, David Toms, Hunter Mahan and Jim Furyk.