I like the visualisation, it helps give comfort that you understand the result and makes you check your expectations/intuition.
36 is not possible because to get in the ballpark you need to have:
Dice1*Dice2 >= 30 [IE 6x5 or 6x6]
6x6 => cannot get 36 as still have to add dice3 (smallest dice), which will be 1-6.
6x5 => cannot get 36 as dice3 must be <= dice 2 (dice2 is the second largest, or middle dice). Dice 3 cannot be 6, has to be 5,4,3,2,1.
It is a question of interpretation.
In a result of 5, 5, 5 I would say:
- Largest number is 5
- Smallest number is also 5
- Median number is also 5
This is also how the functions in Alteryx and Excel work (e.g. Max(5,5,5) = 5)
To me, it makes sense. Imagine a city has a rainfall over 5 days of 5mm, 10mm, 6mm, 10mm, 5mm. If I asked you what the maximum/largest rainfaill was, you would probably say "10mm", you wouldn't say Null.