show your work
For the event X=1, that means you had at least one 1.
so
Roll a dice 4 times
X = smallest face observed
Given P(X=6) = 1/1296
Find:
P(X=1)
P(X=2)
P(X=3)
P(X=4)
P(X=5)
I got 216/1296, 125/1296, 64/1296, 27/1296, and 8/1296 for P(X=1) through P(X=5) respectively. I think I did something wrong as the numerators don't add up to 1296 like I thought they would.
Help is appreciated.
This is a probability distribution function by the way.