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- Racing plates: Aluminium horseshoes.
- Rails: The fence on the inside of a race track. Also, the prime position in a bookmakers' ring. Hence "rails bookmaker."
- Red-hots: The trots, or harness racing.
- Relegated: Horse is demoted in finish order due to an inquiry into the race.
- Result: In bookmaking a "result" is a financial outcome of any race. It may be a "good result" or a "bad result."
- Ridden upside down: Not ridden in the usual manner. An example would be a normal front runner which is ridden back in the field.
- Rig: A male horse which is a cryptorchid or not properly castrated.
- Ring: An area on a racecourse where the bookmakers are positioned is always called a "ring", regardless of its shape.
- Ring-in: A horse in a race who has been substituted illegally for the correct entrant. The most infamous case in recent years was the Fine Cotton ring-in.
- Risky conveyance: A horse which has a record of not performing to expectations in previous races.
- Roughie: A horse at long odds which is considered to have only a remote chance of winning a race.
- Running double: Type of wager calling for the selection of winners of two consecutive races.
Read more about this topic: Glossary Of Australian And New Zealand Punting