# Talk:8-Bit Realm

When wandering in this area and having a window for a multi on, i always get 2-3 (mostly 3) pixels. When the extra window for the multi is off it just depends (1-3 pixels). did it for only 50 turns, so could be a coincidence. -habakuk6

I spent 50-100 turns in the Realm today, and didn't see a Goomba. Can someone confirm that it's still there? Ailurodragon 03:27, 12 Feb 2006 (PST)

The wiki says you only see goombas if you've never ascended. Someone Else

• Added a little note there. Hopefully it's the last one about the Goomba I have to add. --Ricket 06:30, 27 March 2006 (CST)

## Actual drop rates for single-color-pixel dropping monsters

I've performed some analysis on the monsters that drop up to 3 of a single color pixel, and have determined that the actual drop rate should be 80% for the first pixel, 70% for the second, and 60% for the third. (This is based on the assumption that all single-color droppers have the same basic drop rates.)

According to Yiab's observed data, at +20% we see the following results:

0 pixels dropped:    9 (0.00235)
1 pixels dropped:  185 (0.04828)
2 pixels dropped: 1388 (0.36221)
3 pixels dropped: 2250 (0.58716)
-------------------------------
3832 (1.00000)

Assuming 80%/70%/60% base drop rates, the drop rate goes to 96%/84%/72% with a +20% drop bonus. Then the expected occurances are:

0 drops = 0.001792 = (0.04 * 0.16 * 0.28)
1 drops = 0.056724 = (0.96 * 0.16 * 0.28) + (0.04 * 0.84 * 0.28) + (0.04 * 0.16 * 0.72)
2 drops = 0.360576 = (0.96 * 0.84 * 0.28) + (0.96 * 0.16 * 0.72) + (0.04 * 0.84 * 0.72)
3 drops = 0.580608 = (0.96 * 0.84 * 0.72)

Which, as you can see, are very much in line with the actual results.

The rates hold up equally well with the +40% and +50% data that Yiab provided.

This also implies that a +25% drop bonus guarantees you 1 pixel; +43% guarantees you 2 pixels; and +67% guarantees you the third pixel. --Hellion 17:37, 10 May 2006 (CDT)

• Any commentary on this before I go ahead and update the drop rates on the monsters? --Hellion 11:51, 11 May 2006 (CDT)

So, I wrote a tool that brute forces the math for deducing the base drop rates of indistinguishable items. Running all of Yiab's data through this tool, it reports the most likely set of rates as (80%, 69%, 62%), with only 1.3% confidence. (Too many degrees of freedom!)

However, if I restrict the base drop rates considered to multiples of 5%, it gives

(80%, 70%, 60%) -- 94% confidence
(80%, 65%, 65%) -- 6% confidence

It would require quite a bit more data to pin down the exact set of rates, but if we'll happy to assume round numbers, Hellion's analysis seems to hold up pretty well. (Also, a nice confirmation that the algorithm behind the multi-drop tool actually works!) --Starwed 03:27, 26 September 2011 (CEST)

• Collecting more data on this is on my list of old low-level zones that I want to re-spade. This zone is going to be really annoying. The high base drop rates, especially on the most likely pixel, are bothersome, and multiple identical drops adds extra pain. Not as easy to adjust your +items when you have to keep it so low. Plus there's a ton of monsters to slow down collecting on particular ones. Successively testing for maxing out drops should be fastest, but still a bit laborious as there's a lot of interference (you could be guaranteeing none of them but constantly seeing 1+ very easily). Where is this tool of yours for multiple drops, though? --Flargen 04:38, 26 September 2011 (CEST)
• While I got the actual number crunching working, currently I was just hardcoding any data I wanted to analyse... once it has an interface I'll post it to the kolspading thread. --Starwed 04:54, 26 September 2011 (CEST)
• Ok, tool is here. --Starwed 04:18, 27 September 2011 (CEST)

## Buzzy Beetles / Goombas

They should now be available on alternate ascensions rather than being a permanant switch: 2011/10/17 radio show: Question raised at 1:01:18 in the recording, alternation implemented live at 1:03:26. Unless something happens that I've not listened to yet :) --ArgghFW 22:23, 18 October 2011 (CEST)

## 8-Bit Realm

Can someone delete the 8-Bit Realm redirect? The internal name for the zone is 8-Bit Realm not the door. Discordance (talk) 21:46, 6 October 2015 (UTC)