Mark:
SONGS
If you play through once (stop after all 11 songs are played once), the probability is 6! * 5! / 11! = 1/462.

If it keeps playing after all 11 songs are played, and if all 11 songs must again be played before there is a repeat, the probability is zero.
Since there are six songs from Pearl Honey, they must be played in positions 1, 3, 5, 7, 9, and 11. There are 6! ways to do this. The remaining songs must be played in positions 2, 4, 6, 8, and 10. There are 5! ways to do this. So, out of the 11! possible arrangements, 6! * 5! meet your requirements.
Hqueircke = In here, quick.
Soshuarkfp = shark fin soup
Rap:
Songs by no two consecutive bands
11 songs total, 6 by pearl - honey! Every other song in any order (permutations-6!). The remaining 5 in any order (5!).
The product is 6!*5!=720*120=86400
As there are six Pearl Honey songs they must be played in the odd-numbered positions. The V3 and M.E.R. songs will be played in the even-numbered positions. One such example is shown below:
1. Spin the White Square - Pearl Honey
2. I Still Haven't Heard What I'm Listening For - V3
3. Off He Comes - Pearl Honey
4. Finding Your Religion - M.E.R.
5. Better Woman - Pearl Honey
6. Without and With Me - V3
7. Last Hug - Pearl Honey
8. Nobody Hurts - M.E.R.
9. Dead - Pearl Honey
10. Sourest Thing - V3
11. Son - Pearl Honey
There are six possible Pearl Honey songs that could be played first.
There are five possible V3 or M.E.R. songs that could be played second.
For the third song, there are now only five possible Pearl Honey songs that could be played.
For the fourth song, there are now only four possible V3 or M.E.R. songs that could be played.
And so on and so forth...
Following this pattern we have that there are 6*5*5*4*4*3*3*2*2*1*1 = 86,400 playlists where no two songs by the same band are played one after the other.
All up there are 11*10*9*8*7*6*5*4*3*2*1 = 39,916,800 different playlists in which the 11 tracks could be played.
So the probability that all 11 tracks will be played without any two songs from the same band being played one after the other is 86,400/39,916,800 which can be simplified to 1/462.
Which unfortunately did not surprise either Mark or Rap.
TTH:
Hqueircke = QUICK IN HERE
TTH wrote, "OMG The songs: I saw that change"
I was just busking, I made $1.35 in an hour, no big deal. Don't tell the IRS!
Rap had a ruler that was exactly 12 inches long. His second cousin Sue-Ellen was practicing with her Samurai sword and made two straight slashes at arbitrary spots on the ruler, cutting it into three pieces.
What is the probability that the pieces of Rap's ruler can form a triangle
cophmpeotintieon