Crazy; Bug/Cheat/Luck:
Bugs (especially serious ones) are pretty rare on WL. I've never heard of a cheat in multiplayer (other than multi-accounting). So I'm a bit hesitant to believe you... Anyway, let's have a look:
1-Enemy attacking with 12 vs 9,(ofc) LOST, but he had 7 losses ONLY and I lost 8 :S (Dam lucky), according to average he should have lost nearly all.
No, he didn't "(ofc LOST)", he had a 16.15% (practically 1 in 6) chance of winning that attack...!
9 * 0.7 = 6.3, so "7 losses ONLY" is completely wrong, he lost more armies then he "should have".
12 * 0.6 = 7.2, so yes, 8 is a little higher than expected, but nothing too out of the ordinary (approximately 15% chance in a 100% luck game, the probability for a 75% luck game is slightly more complicated to calculate; let me know if you really want the exact number).
Seriously, nothing weird happened.
2-Enemy attacking with 10 vs 6, WINS :O, with only 2 losses(speachless with jaw on the floor)(ffs impossible)
As average you need 4 to beat 2(around 80% chance) in a normal game, so to beat 6 you need 12 when attacking. When you attack with 10 only, on average your chances of winning are slim (maybe 35%-40%). Though even if you win your losses should be high and the 10 become 2-3 on average, if your very lucky maybe 4. However here he was 8 !!!!!!!!!!!! I mean 10 vs 2(ai) you get 8 left, not when defending with 6 ffs!!
Actually, 10 attackers are
expected to kill 6 defenders. Sure, those 6 defenders will kill 4.2 attackers on average before being defeated, but still, just killing 2 attackers comes in at 6% chance (a 1-in-16 chance).
No, you cannot extrapolate from "4vs2" to "12vs6". Those 4 kill 2.4 defenders on average; you "need" 4, because attacking with 3 (expected to kill 1.8 defenders) has a much lower chance of succeeding (87.46% and 68.40%, respectively). Attacking 12vs6 has a 89.73% chance of succeeding, but 10vs6 comes in at 68.33% (
much higher than your "maybe 35%-40%", not to mention being an actual calculation, instead of a gut-instinct
guess).
Attacking 10vs6, the absolute worst you can possibly do is losing 6 armies, if every defender kills an attacker (0.70^6 ~= 11.765% chance, between 1-in-8 and 1-in-9), leaving 4 armies. Both 2 and 3 are utterly impossible (and I mean that literally; it couldn't
possibly (in the mathematical sense!) happen), not the "average" case at all. For reference, the average would be to have 5 or 6 attackers left to occupy the territory.
3-Enemy attacking with 4 vs 2(AI), WINS, with 0 losses, WTF, this was a first for me, but its not impossible.(i could have accepted this if the previous didn't just happen :o)
0.81% chance, 1-in-123. Granted, this is rather unlikely. However, since we do
a lot 4vs2 attacks, it's bound to happen sooner or later. No matter how unlikely an event is, so long as it's not actually
impossible (merely incredibly unlikely), given enough attempts, it
will eventually happen.
I think I mentioned this link before, but just for ease of reference:
http://www.youtube.com/watch?v=9R5OWh7luL4
4-(Well this one really deserves some description)
Since I am a man that checks for every possible solution I thought of one that fits.
Here i was starting to think that maybe our luck in offence was beeing boosted just in this game and because i haven't attacked yet, I was getting this dam badluck feeling only on me.(maybe a bug)
If I take a fair coin and flip it 10 times, it "should" come up heads 5 times, right? Now if I actually try and it comes up heads 7 times, that's not really noteworthy, right, that can happen. But that in no way means that if I toss that same coin ten more times, it will come up heads 7 more times. Same with a roulette wheel; having it land on red three times in a row is
not "special" and it surely does not mean the next spin "has to be black".
That made sens to me at the time, so I changed tactic instead of defending then attacking, i went on attacking first since I had bonus advantage now.
-I attacked 21 vs 9.
Since the 10 vs 6 had only 2 losses and it was below twice the army of 12 to beat 6, it was logical that if i had 21 vs 9 i would get 2-3 losses and maybe with some bad luck also 4, and to the very extreem bad luck, at most I would get 5 losses. Also 12 vs my 9 gave 7 losses so 21 vs 9 should be much less at least half, like 3-4.
Guess what, I get 6 losses :O (although in a normal game its not a bad loss).
It just proved to me that the enemy was at least twice as lucky in offence and in defence.
A 21-vs-9 attack has about a 0.88% chance of failing; very unlikely, but could still happen. (In your case it succeeded.)
The amount of losses you should've expected are 6 or 7, because 9 * 0.7 = 6.3.
Your "proof" is not mathematically valid, to phrase it politely...
There is no way this game was fair.
Only won because the guy was bad enough not to realise he had this huge advantage and surrendered. If he continued(with that low losses) he would have won for sure.
Although I did demoralise him by knowing where he was from start, playing better, picking better starting locations and having tactical advantage in antartica. The fact is, I wasn't tryen to demoralise him but beat him and yet I couldn't, although I did no mistakes :O.
You can argue about what is "fair", but you cannot argue about what you seem to be implying: WL was
not helping your opponent. In a game based on luck (or, in this game, based on 75% luck) deviations from the average case are to be expected! You could try playing the "1vs1 strategic" template, if memory serves that will let non-members play games with a low luck modifier (16%). If you also want to play with the other settings, try asking a member to set up a game for you (or, you could get a membership yourself of course :) ).
If the game would have continued, your opponent would have gotten some bad luck sooner or later, just as you would have gotten some good luck. (Assuming he even
was very lucky, which I don't agree with.)
I didn't study the game in detail, so I have no opinion on whether you made any tactical mistakes in-game. However, your calculations (well, guesses) are full of mistakes...
The probability of all these 4 things to happen in a single game, to the same guy, in 4 turns, on every of his attack or defence, without a bug or cheat but by simple incredible luck, is less then 1/∞.
Which make me not the unluckiest person:
on the continent
or on the planet
or of the galaxy
or of the universe
but of the MULTIVERSE!!!
Yeah, either that, or he simply doesn't understand probability theory (abusing notation and writing "1/∞" seems to point in this direction...). Also, there's some room for improvement of your understanding of WL; I suggest you read up on how defence kill ratio works; your expectations for the number of attacking armies killed by the defenders aren't just way off, you actually expect outcomes which are completely impossible. And finally, on the attack button there's a button which says "Analyse", use it! While it isn't perfect, it's much,
much more accurate than the estimates you are making.