Good question. According to
The Masters Website, under "Number of Attempts before first Victory" (halfway down the page), there have been three first-time winners: Horton Smith (1934), Gene Sarazen (1935) and Fuzzy Zoeller. Of course, Horton Smith was the inaugural winner.
Number of Attempts
| Before First Victory |
| 1, Horton Smith, 1934 |
| 1, Gene Sarazen, 1935 |
| 1, Fuzzy Zoeller, 1979 |