In: Statistics and Probability
Suppose we are going to play a game. You have to choose to toss a coin either 40 times or 400 times (pretend you have a lot of time on your hands!). You win the game if the percentage of heads is between 52.5% and 57.5%.
We will choose tossing 40 times because probability of winning is higher in 40 than in 400 as can be seen in solution.