roper washer

the washer filled with water, ran through the wash cycle but will not drain, and there is a humming sound.

You need to determine if the motor is running, or locked up and just humming. This video will show you how to remove the cabinet and this one will show you how to bypass the lid switch. You have the newer style lid switch. With cabinet off and lid switch bypassed, pull the pump off of the motor and run it in drain/spin mode. If it starts spinning, turn it off. You will need to manually drain the washer and remove the hoses from the pump to look for an obstruction or faulty pump. If the washer does not start spinning, is the motor shaft rotating, or is it locked and motor just humming?

Eric