In a coin flipping game, a prize is won if heads is thrown 45%-55% of the time. In a second game, a prize is won if heads is thrown less than 25% of the time. In which game would you rather flip the coin 25 times or 500 times?
You would rather flip the coin 500 times in the first game because over time the percentage should average out to that range.
You would flip the coin 25 times in the second game to let outliers have a greater chance of making a dramatic difference, like having the average be strayed from 50:50 to 25:75 or less