Here’s the version I heard… it’s an interactive joke & pretty racist.
Two people face each other.
Person A puts their hands together as if in prayer.
Person A says “Open the refrigerator”.
Person B opens Person A’s hands.
Person A: “Open the Coke.”
B: Opens an imaginary Coke.
A: “Drink the Coke!”
B: Drinks the imaginary Coke.
A: “Close the refigerator!”
B: Closes Person A’s hands so they look like they are in prayer.
A: Bows up and down and says “Me Chinese! Me play joke! Me put pee pee in your Coke!”
So that’s the version I know anyways. However, I’m sure that asking for the origin is like asking for the origin of “Why did the chicken cross the road” and hoping that the answer is something like Bill Smith, Michigan, 1942…