Tomko is chiefly noted as the runner-up in the World Series of Poker (WSOP) $10,000 no limit Texas hold'em main event in both 1982 (to Jack Straus) and 2001 (to Carlos Mortensen.) Besides his success in the main event, Tomko has won three WSOP bracelets, all in different variations of poker, in addition to various other tournament wins throughout his career.
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Tomko took third place in the 2005 WSOP Deuce-to-seven lowball event worth $138,160.
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On NBC's Poker After Dark, Greg Raymer noted that pro golfer Rocco Mediate has said that if he had one person to putt for his life, it would be Tomko.
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In Rick Reilly's book Who's Your Caddy, Shirey is noted as "Hillstreet" in the Dewey Tomko chapter.