Unplug your Samsung refrigerator power cable.
Insert the tip of your flat-head screwdriver in the plastic housing around the dispenser. Pry up to pop the housing off.
Pull the dispenser control panel slightly out of the door. Notice the wiring plugged into the back of the control panel. Unplug the wiring, and remove the control panel.
Remove the screws on the dispenser housing, and remove the housing. You now have access to the flappers. Some models have two flappers, but others have a single flapper.
Pull the flapper down to unclip it from its housing. Set the flapper aside.
Fit a new flapper in the compartment, and slide it up until it locks in place. You can order a new flapper from the manufacturer or buy one at an appliance store. Be sure to provide your Samsung model number when purchasing a new flapper.
Replace the housing, control panel and frame.