Solitare was a genre of Earth playing card games, which were played by one person.
In 2266, Ben Childress observed Eve McHuron's game of double-jack, and suggested that she place a red eight on a black nine. However, that was not the case in double-jack. (TOS: "Mudd's Women")
Later that year, Yeoman Janice Rand was playing a solitaire game in Recreation Room 6 aboard the USS Enterprise when Lieutenant Uhura began to sing "Oh, On the Starship Enterprise" while Spock accompanied her singing with his Vulcan lute. (TOS: "Charlie X")
The game Yeoman Rand is shown playing is not identified on-screen, though the final draft script of "Charlie X" did identify it as solitaire.