draw straws - 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.
Also, draw lots. Decide by a lottery using straws of different lengths. For example, Let's draw straws to see who will write the first draft. The lots version dates from the 1400s, whereas straws dates from the 1800s. Both have replaced the still older draw cuts. Another variant is draw the short straw, meaning to be the one so selected for a particular task.