Riddle Solution

Below is the solution to the riddle from a few posts down. I know Kenny couldn't get it and it seems Alex struggled from his comment. It was tough and tbh I didn't really get close. Slightly lengthy but worth reading.

In poker news I was bored the other night so deposited on Stars to play a $22 tourn and finished like 35th for something shit like $80 but proceeded to spin that up playing the $11 turbo hu sngs. Think I peaked at $300ish after winning 14 in a row over two nights.
It's fairly gutting not having the money to play decent tourns as means you have to contend with ridiculous sized fields on PokerStars. Excellent example being yesterday when I'm bored so I regged for a $3 rebuy. Soon after it started I noticed there was c.6000 runners, joke. Played well though and eventually finished 102nd for $100 when 1st was $8k! K10 losing to 99 on a K44 board against a fellow big stack was a crippler and eventually bust 3betting all in with A8 against A10. These tourns are a real slog and I'm not if I can find the motivation to play many more - should maybe switch to the more manageable fields on ipoker.

I'm going to do a small write up before Derby 2nd round on Friday so look out for that. Anyway, here's that solution.....


Divide the balls into three groups of four each, AAAA, BBBB and CCCC.
Weigh AAAA-BBBB.
Possible results are: -
They balance: Means one of the C's is heavy or light.
Therefore, weigh CCC-AAA (all A's are now known to be standard):
They balance: Means the 4th C is the oddball.
Therefore, weigh the 4th C against any other ball.
4th C falls: Means The 4th is heavy.
4th C rises: Means The 4th is light.
CCC side falls: Means one of the C's is heavy.
Therefore, weigh C-C:
They balance: Means The other C is heavy.
One side falls: Means That C is heavy.
CCC side rises: Means one of the C's is light.
Therefore, weigh C-C.
They balance: Means the other C is light.
One side rises: Means that C is light.

The AAAA side falls: Means the oddball is either a heavy A or a light B and the C's are all standard.
Therefore, arrange the balls into three new groups like so: AAAC BBBA CCCB. Weigh BBBA-CCCB:
They balance: Means Oddball in AAAC.
Therefore, weigh A-A.
They balance: Means the other A in AAAC is heavy.
One side falls: Means that side is the heavy A.
Left side (BBBA) falls: Means the A in BBBA is heavy or the B in CCCB is light.
Therefore, weigh A-C (C is known to be standard).
They balance: Means The B in CCCB is light.
A side falls: Means A is heavy.
C falls: Not possible.
Right side (CCCB) falls: Means a B in BBBA is light.
Therefore, from BBBA weigh B-B.
They balance: Means the other B in BBBA is light.
Left side falls: Means the B on the right is light.
Right side falls: Means the B on the left is light.

The BBBB side falls: the oddball is either a heavy B or a light A and the C's are all standard.
Therefore, arrange the balls into three new groups like so: AAAB BBBC CCCA. Weigh AAAB-CCCA:
They balance: Means the oddball is in BBBC.
Therefore, weigh B-B.
They balance: Means the other B in BBBC is heavy.
One side falls: Means that side is the heavy B.
Left side (AAAB) falls: The B in AAAB is heavy or the A in CCCA is light.
Therefore, weigh B-C (C is known to be standard).
They balance: Means the A in CCCA is light.
B side falls: Means B is heavy.
C side falls: Not possible.
Right side (CCCA) falls: Means an A in AAAB is light.
Therefore, from AAAB weigh A-A.
They balance: Means the other A in AAAB is light.
Left side falls: Means the A on the right is light.
Right side falls: Means the A on the left is light.