why does the value e in math have so many things based around it?

Question

As the title says, how come the value e is special? it has functions and rules just dedicated to it, but what sets it apart from another random number?

In: 397

Answer 1

I was playing zombicide and decide to make an excel sheet to tell me the probability that I would get a 1 on a roll of dices at least one time.

Then I was rising the number of dices with the number of sides on those dices.

2 2d has 75% of chance
3 3d has 70,3%
And further I go it comes closer to 63.2%

So infinite rolls of dices with infinite sides has 1-1/e chance (63.21205588285%) of landing at least one number 1

Do what you want with this information.

I am not all that familiar with what is going on and would like to know more.