Back in 1992, when the BIG prize at the softball-in-the-milkcan booth was a giant white gorilla, my son(then 12, and never played youth baseball) decided he wanted to use his CP buy-one-get-one-free ticket to throw a few.
Knowing how hard it is to win at any of these games, I was about to tell my son not to be too discouraged if none of the balls went in, since the park, like a casino, always has the odds in its favor; and maybe he would be lucky-enough to win one of the smaller prizes. Before I had that chance, however, my son had filled the bottle with all three balls, and was the proud owner of a white stuffed gorilla the width of the third-row seat in a mini-van. (No exaggeration---that's where it sat in the family's Voyager for the rest of the vacation, up to Niagra Falls, and back home.)
Moral of the story: My kid won the gorilla for the same reason kids can beat adults at video games. While I was anylizing how to get the balls in the can, my son just threw the balls into the can.
You want a big prize? Don't spend too much time thinking about how you're going to do it.
Have Fun!