LITTLE ROCK, Ark.  — An Arkansas judge on Thursday ordered a new trial to decide who can claim a $1 million scratch-off lottery ticket prize, a little more than three weeks after he ruled that a woman who said she bought the ticket but mistakenly discarded it was entitled to the money.

White County Circuit Judge Thomas Hughes ruled May 1 that Sharon Duncan should get the prize money, not two other women involved in the case. Hughes ordered the new trial in a one-paragraph ruling that did not elaborate on his reasoning.