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I was listening to my playlist for a while and then this question popped out of nowhere.
There is a playlist consisting of 10 different songs.
We press the shuffle button.
In the each step, a single random song is picked and played. Once the song is finished, it will be tagged out until each song has been played at least once.
Once each song has been played at least once, the playlist would reset and start the shuffling mechanism again.
Now my question is:
What is the probability of two songs (In shuffle mode) being played in the same order they are in the playlist?
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