microstates, even though each adds up to 9 . There is only one microstate that adds to 3 , but there are 25 that add to 9 . That is why you are much more likely to roll 9 than a is positive or negative. But in this problem we'll count microstates. You flip 6 coins. How many microstates are there? How many microstates are there that have exactly one head? How many times more likely is it that you get the most likely number of heads than that you get one head?