🗑️ 🧵 Untitled Thread
Anonymous at Thu, 30 May 2024 22:43:59 UTC No. 16201585
Mathlet here. Imagine you have a playlist of 1500 songs, which is set to shuffle. one song is on the playlist twice. how much does this increase the odds of that song being played next at any point?
Anonymous at Thu, 30 May 2024 22:47:05 UTC No. 16201589
>>16201585
Depends on how the algorithm for selection of the next song works. If it's a Markov chain (meaning that the probability of the next song depends only on the current song selected) and the distribution is uniform sans the current song (meaning at any given time you have exactly 1499 equiprobable songs) then having the song in the playlist twice would double the probability of it being selected.
If it's not conditionally uniform then it depends on the distribution/process they use for song selection. That could get arbitrarily complicated.
Anonymous at Thu, 30 May 2024 22:55:47 UTC No. 16201601
>homework thread
Anonymous at Fri, 31 May 2024 03:25:30 UTC No. 16201905
>>16201585
>at any point
depends on what has already been played. If the song came up twice already the probability is zero.
Anonymous at Fri, 31 May 2024 03:59:33 UTC No. 16201956
>>16201585
The odds are 50:50.
Anonymous at Fri, 31 May 2024 04:08:17 UTC No. 16201967
>>16201585
2(n-1)/1500