A comedy club host an amateur comedy night, a good opportunity for aspiring comedians to perform. Of the 23 amateur comedians who signed up for tonight’s show, 9 perform farcical comedy and 3 perform hyperbolic comedy. If the host randomly selects from the signup list 5 comedians to perform in a certain order, what is the probability that the first 3 comedians practice farcical and the last 2 practice hyperbolic?

Write your answer as a decimal rounded to four decimal places.