The phrase "short straw" means being chosen or assigned the worst or least favorable option, task, or outcome among a group of choices. Full definition
They've got short straws, long straws, thick straws, and thin straws. (heynutritionlady.com)
Those drawing the proverbial short straw are entered into a brutal fight to the death, where 23 are to be killed and one left standing. (moviereviewsfromthedark.com)
For more name - calling of Houston's former creme - de-la-creme executives by Houstonians who drew short straws in the potential jury pool, read The AP's Kristen Hays. (legalblogwatch.typepad.com)