Mack wrote:Hawk258 wrote:I will counter offer.
I roll 300 times
And you roll 100 times.
Every time you get 18 I will give you a buck.
Every time I roll 3 6's in 3 consecutive rolls you give me a buck.
In fact let's use any Dice to see.
https://anydice.com/program/13a32
2: 2, 1, 3, 2, 5, 2, 4, 3, 5, 6, 3, 5, 4, 2, 2, 3, 3, 1, 6, 4, 3, 1, 5, 5, 3, 1, 2, 2, 4, 1, 3, 1, 1, 1, 2, 4, 5, 1, 6, 6, 5, 5, 4, 1, 2, 3, 3, 6, 1, 2, 2, 4, 2, 3, 3, 3, 4, 6, 4, 3, 3, 1, 6, 5, 6, 5, 2, 3, 1, 5, 2, 3, 6, 4, 4, 4, 6, 4, 6, 1, 2, 6, 3, 6, 5, 6, 6, 2, 3, 1, 1, 2, 4, 2, 6, 5, 3, 1, 5, 1, 1, 4, 1, 3, 3, 5, 2, 5, 2, 4, 6, 3, 3, 6, 1, 6, 4, 2, 6, 5, 6, 4, 6, 4, 1, 6, 3, 3, 2, 1, 2, 2, 4, 2, 1, 3, 1, 2, 1, 3, 5, 5, 6, 6, 3, 3, 3, 6, 6, 4, 6, 4, 5, 1, 3, 3, 4, 5, 4, 1, 4, 2, 2, 5, 5, 6, 4, 3, 4, 1, 4, 5, 1, 5, 5, 2, 5, 2, 3, 2, 1, 2, 3, 5, 2, 6, 6, 2, 2, 5, 2, 6, 5, 6, 1, 6, 6, 6, 3, 2, 4, 2, 5, 3, 3, 1, 3, 5, 2, 2, 3, 2, 3, 1, 5, 3, 1, 4, 6, 4, 6, 2, 3, 3, 6, 6, 6, 5, 6, 1, 5, 1, 1, 1, 1, 5, 6, 6, 6, 6, 4, 4, 1, 4, 4, 6, 3, 3, 6, 6, 6, 2, 1, 6, 4, 4, 2, 3, 3, 4, 5, 4, 3, 5, 5, 1, 5, 6, 3, 3, 4, 5, 6, 2, 2, 3, 4, 3, 1, 6, 2, 3, 4, 6, 3, 4, 6, 6, 5, 3, 2, 1, 4, 3, 2, 2, 5, 1, 1, 6
Mine you owe me $4
10, 14, 7, 12, 6, 11, 10, 11, 9, 13, 14, 17, 13, 13, 18, 11, 11, 11, 15, 14, 9, 13, 12, 5, 18, 14, 11, 8, 7, 12, 5, 9, 12, 12, 13, 14, 7, 10, 15, 11, 16, 8, 8, 11, 8, 12, 11, 4, 14, 15, 5, 10, 12, 16, 8, 7, 15, 5, 9, 10, 12, 10, 7, 10, 9, 16, 14, 15, 14, 9, 13, 7, 9, 8, 4, 15, 14, 5, 14, 4, 6, 10, 4, 12, 13, 13, 15, 16, 13, 11, 17, 11, 15, 12, 13, 13, 11, 11, 9, 6
Iou $1
Do the same math on that data with a 3 on 3D6 vs a string of 1s on 1D6.
No, don't do that. It doesn't matter because this is a false scenario. To do it correctly, one would first have to group the 1D6 data by groups of three... (2, 2, 1), (3, 2, 5), (2, 4, 3), (5, 6, 3)… and only count the ones that had three 6s in a group.
And for extra fun, check the average of the two sets. For the first, it's 3.52 which triples to 10.58. For the second, it's 11.01. Both of which are within the expected variation for a sample this size. There's no difference between the two.
Even if I do groups of 3, I still had 2 18's to his 1.
But if as I stated the average is the same, but I have an a broader range of damage roll for roll vs 3d6.
All I have said is 3d6 is "stuck at average" vs 1d6 having the full spectrum
I rolled more 1's than he rolled 3's and i rolled more 6's than he rolled 18. He was "average" 60% of the time.
I rolled 56 6's. 18.67%
Vs has single 18.
25% of those 6 were in strings of 3 or more.