It makes even more sense when you take the law of large numbers into account. The scale we're experiencing most things on is /so/ far removed from the scale on which these probabilities are being expressed.
There are more molecules in a cup of water (on the order of 10^24) than there are cups of water in the ocean. If you have a cup of water's worth of matter, you aren't just rolling 10 dice (or even 1000 dice) and looking for mostly 6s. You're rolling a few septillion dice and hoping for a significantly non-normal distribution. It just isn't feasible.
There are more molecules in a cup of water (on the order of 10^24) than there are cups of water in the ocean. If you have a cup of water's worth of matter, you aren't just rolling 10 dice (or even 1000 dice) and looking for mostly 6s. You're rolling a few septillion dice and hoping for a significantly non-normal distribution. It just isn't feasible.