Why does Mrs. Jones leave her door open while Roger washes his face? She knows he won't run away. She wants to make sure he doesn't steal anything. She is expecting a visitor. She wants to test his honesty and see if he will stay.

Mrs. Jones leaves her door open while Roger washes his face because she wants to test his honesty and see if he will stay. This action demonstrates her trust in him and gives him the opportunity to make the right choice, reflecting her belief in giving people a chance to prove themselves.