Tinsley was drafted in the 1st round of the 1987 MLB draft out of Shelby County High School in Shelbyville, Kentucky. He began his professional career that year with the Medford A\'s of the Northwest League. In 1989 and 1990 he played with the Madison Muskies of the Midwest League. In 1991, he was promoted to the AA Huntsville Stars of the Southern League, where he hit .224 in 92 games.\n', '

On July 26, 1991 he was traded by the Athletics (along with another minor league) to the Cleveland Indians for Brook Jacoby. He played with the Canton–Akron Indians of the Eastern League through 1992. He was then promoted to the AAA Colorado Springs Sky Sox to finish the 1992 season.\n', '

Tinsley was selected off waivers by the Seattle Mariners on September 21, 1992. He spent most of 1993 with the Calgary Cannons in the Pacific Coast League, where he hit .302 in 111 games. He made his Major League debut on April 6, 1993 against the Toronto Blue Jays, pinch hitting in the fifth inning and remaining in the game to play left field. He walked once and struck out once in two plate appearances.\n', '

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