What is the probability of rolling a number above 3 on a dice?

Answer 1

On a fair die the probability is 1 (a certainty). The probability of it happening on a single roll is 0.5

==========

All answers below assume a single roll using unbiased 6 sided die/dice (as may boardgamers and RPG players are aware, there are 4, 8, 10, 12, and 20 sided dice easily available too)

• For 1 die, the probability is 3/6 = 1/2 (3 ways to roll higher than 3 and six possible rolls)
• For 2 dice it is 33/36 = 11/12 (36 possible combinations, of which 33 are more than 3)
• For 3 dice it is 215/216 (216 possible combinations with one - 1,1,1 - not being greater than 3)
• For 4 or more dice your probability is 100% since the lowest you can roll is all 1's which would add up to the number of dice - which will be greater than 3 if the number of dice is greater than 3.