die is cast, the - Phrases/Idioms
The American Heritage® Dictionary of Idioms by Christine Ammer. Copyright © 2003, 1997 by The Christine Ammer 1992 Trust. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
The decision or course of action has been determined and cannot be changed. For example, Now that I've announced my resignation, the die is cast. This expression comes from the Latin Iacta alea est, “the dice have been thrown,” which according to Suetonius was said by Julius Caesar when he crossed the Rubicon and invaded Italy in 49 b.c. In English it dates from the first half of the 1600s.