Juror #10 doesn't really propose anything to Juror #3 in the washroom. Rather, he tells him that he wants a hung jury and then walks back into the room to put it to the others.

The scene occurs in act 2. The jurors are starting to get restless and are talking about wanting to get something to eat or to go home. They know if everyone agrees on the accused guilt or innocence they can leave, but unfortunately, six jurors think he's guilty and six think he's innocent.

Juror #10 has no doubt that the kid is guilty and thinks everyone is wasting their time discussing the ins and out of the case. To him it is obvious that the accused did it, and as he tells Juror #2, if you think otherwise "You're just letting yourself get bulldozed by a bunch'a what d'ya call 'em- intellectuals."

The Jurors #3, #4, #7, and #10 go to the washroom and talk to each other while they wash their hands. Juror #10, who the playwright says bursts into the washroom, says, "Those six bastard in there aren't going to change their minds." He thinks they should quit and force a hung jury.

Juror #4 goes back into the room and leaves Jurors #3 and #10 alone. First of all, Juror #10 tells Juror #3 that Juror #4 is something else. Then, after Juror #3 disagrees about the hung jury, Juror #10 tells him. "What the hell's the difference? A hung jury is what you're gonna get."