Today at school we discussed probability distributions and as usual my mind wandered off and I started thinking: Normally when we have a die, you can make a binomial distribution. So I thought, if you have a die with, instead of 6 sides, an infinite amount of sides, wouldn't the binomial distribution become a normal distribution? If yes, can you also say that when a normal distribution is 'simplified' (with simplified I mean for example going from an n-sided dice to a 6 sided die) it always turns into a binomial distribution, or is that just the case for some examples (like this die example, which is what I assume is true)?