stats 101 | jikook edition

I really didn’t want to do my actual math assignments (as always), but then I stumbled across a little problem while watching *Kookmin World’s *newest video. So like I believe every aspiring mathematician/statistician should, I decided use the power of numbers to solve some interesting questions in my spare time (well…my profs do great things like figuring out who’s cheating on their midterms simply by calculating probability but…I’m not there yet LOL). Thus, I decided to **calculate the probability of Jimin and Jungkook’s fans appearing next to each three times in a row, just by chance. **

**DISCLAIMER: **I haven’t done counting problems in awhile so there may be a mistake. I tried to recheck with my notes but I could still be wrong with some of my intuition because I did this purely off the top of my head. If there is please let me know and I shall fix it promptly, but this is merely my way of trying to show how cool math is… Also, I’m not *reeeaaallly *doing this as a shipper, cause really it doesn’t mean anything that their fans are next to each other (except perhaps maybe there was some instinctive sense as to why they should be together), I just wanted to know the numbers, and perhaps you would too :)

also, please take a look at this it cooler than you think and may help you out with your homework in the future ;)

So. Hurr we go.

**SCENARIO 1: **Fans are placed in a circle

So here, we want to know what the probability is that Jimin’s fan is next to Jungkook within this circle, completely by chance. ** **

Since this is a circle, and circles are pains in the asses to calculate permutation for, there are many different approaches. What I personally did was I defined a **fixed point** in the rearrangement:

where each circle represents a fan and the blue dot is a fan whose position never changes (because if it did I’d have to divide by two or something fancy and that’s too complicated).