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Ariana, Taylor, and Megan are attending the live studio recording of a game show. There are 150 people in the audience in total and each person completed a registration card for the chance their name could be drawn to be part of the game show. Twenty people will be randomly selected from the audience to be a contestant on the game show.
What is the probability that Megan is randomly selected to be the first contestant, Ariana is randomly selected to be the second contestant, and Taylor is randomly selected to be the third contestant?