Pop quiz: How many characters die in “Hamlet”? Don’t know? The teen actors of New Genesis Productions master class know. (Nine, if you count Hamlet’s father, who’s already dead when the play begins.) For seven months, these young thespians have been smelling what’s rotten in Denmark with playwright and actor Carey Harrison, who has been immersing his charges in stagecraft and the subtleties of the Bard’s language. The master class culminates with four performances of “Hamlet” May 27-29 at the at the Byrdcliffe Theater in Woodstock. (845) 657-5867; www.newgenesisproductions.org.