1. The Mirage Race & Sports book. The Mirage Sportsbook. The Mirage once had the best sportsbook in Las Vegas. That luster was fading. Casino. Race & Sports Book Visit The Playing Field at Planet Hollywood casino to place your bets on your favorite team, athlete or horse. The Playing Field is. Ah, finally something I know 0089.infong in the sports book. This has happened to me at the Venetian many times, Caesars, Mirage, and the Flamingo. drink girls to come around which is very infrequent in a very busy sports book.