[Math] What are the odds?

[Frostmarrow]

I'm fiddling with some numbers and perhaps someone can help me.

Pick a number between 2 and 10. Roll that number of d10s. What are the odds that you fail to roll equal to, or higher than your number with at least one die?

Example:

I pick 2 and roll 2d10. The odds are 1:100 that I will fail to roll at least 2 with at least one die.

What are the odds if I pick 3 thru 10?

 

[nsruf]

for N = 2,..,10 the odds to roll less than N on Nd10 are

((N-1)/10)^N

so for N = 3 you have 0.2 * 0.2 * 0.2 = 0.008 or 0.8%

 

[Frostmarrow]

for N = 2,..,10 the odds to roll less than N on Nd10 are

((N-1)/10)^N

so for N = 3 you have 0.2 * 0.2 * 0.2 = 0.008 or 0.8%

So if you do the same thing with d6s it becomes: ((N-1)/6)^N?
Thanks a lot!

 

[nsruf]

So if you do the same thing with d6s it becomes: ((N-1)/6)^N ?

Yes (for N = 2,..,6 of course).

Thanks a lot!

You are welcome