Let say the dice has n sides
Let first search for the probability to roll a number less or
equal to 2
Probability to roll a 1 = 1/n
Probability to roll a 2 = 1/n
Probability to roll a 1 OR a 2 = Probability to roll a 1 +
Probability to roll a 2
= 1/n + 1/n = 2/n
Probability to roll a number greater than 2 = 1 - (Probability
to roll a 1 OR a 2)
= 1 - 2/n = (n-2)/n
If n = 6 then the result is (6-2)/6 = 4/6 = 2/3