Roulette Law of the Third Repeaters Analysis

I read this quote by Mako and it got me thinking a bit. I decided to do some tests. I've only done a few so far but I think they're pretty informative. If anyone has insights, thinks I made a mistake, has a suggestion or request - whatever it happens to be, just let me know.

I've also got a chart of how all the numbers hit over the course of a bunch of cycles just for fun. It shows all the repeaters, cold numbers, when they occurred and the cumulative average across time. Which to note, is always heading towards 37. It shows the gaps or time between hits, and the cumulative averaged hitrate below - for each number. It's a busy graph.

The law of the third data I have so far is somewhat interesting and I think pretty useful to an extent. Please note I used 140k numbers in chunks of 37 for this alanysis. Numbers were retrieved from random org.

Just for fun I decided to run a little test to see if there were any cycles that contained no repeaters. There were none. I'll keep the test active so whenever I add more numbers it'll check.

When do we see repeaters for the first time?

Mean Median Mode Range​

2x 7 7 6 1-23
3x 20 20 20 2-36
4x 28 29 30 7-36
5x 30 31 36 12-36
6x 30 30 30 21-36
7x 30 30 30 27-34
8x 29 29 29 29-29

So only 1 8x repeater in 37 cycle for 140k numbers. At least 2 7x repeaters.

Pretty wild.

What is our occurence % for repeats?

37 spins 100% occurence​

2x 100% 37 spins
3x 93% 70 spins
4x 42.69% 110 spins
5x 8.8% 160 spins
6x 1.22% 170 spins (99.87% not 100%)
7x 0.15% 200 spins (99.71% not 100%)

100% occurence is how long we'd have to wait to be assured of a win at that repeater level, but that doesn't mean every 3x goes to 4x within x spins. It just means there was a 4x present within x spins. Some of the 3x go to sleep.

I wouldn't consider anything above 5 to be very informative.

What is our average number of occurences per cycle?

0x 13.39
1x 13.79
2x 6.92
3x 2.2
4x 0.51
5x 0.091
6x 0.012
7x 0.00158
8x 0.00026

So on average we get 7 2x and 2 3x per cycle. That's across 140k spins, and I'll be adding more. I'd bet on those odds for sure.

I'll answer more of the questions above, whatever ones I have myself, whatever ones others have, and whatever ones I feel like doing and post them to this thread if there's any interest.

 

I forgot to change the spins # for the ranges. I used list indexes (if you code then you already understand), so just add 1 to the range numbers and those would be the correct spin numbers.