To win
something, usually of
small importance, as in a carnival
game. The phrase is used to signify the value of the prize. As in a chicken dinner can be had for the same value.
Carny: "Step right up folks... See if you can knock these milk jugs over."
Man: "I'll give it a
shot!" (throws hardball style, hits and knocks down the jugs)
Carny: "Winner Winner Chicken Dinner!" (hands
man a Chinese made stuffed animal)