Woods won the Masters in 1997, 2001 and 2002. This season, he is fifth on the money list with a victory in the WGC-Accenture Match Play Championship in February, the 40th win of his career.
The world No. 1 player will be in the second to last group on the 7,290-yard Augusta National course, playing in a threesome with Thomas Bjorn of Denmark and amateur Casey Wittenberg, an Oklahoma State University student.
Defending champion Mike Weir, the world's fifth-ranked player, is among the other favorites. The Canadian left-hander won the Masters over Len Mattiace in a playoff last year. He won the Nissan Open this year.
Crowd favorite John Daly, who has a win this year, will be in a threesome with Singh and Harrington.
"I feel like I'm playing well enough that maybe I can contend this year," said Daly, whose best previous finish in the Masters was third place in 1993.