40enSat, 13 Oct 2012 01:20:42 GMTSat, 13 Oct 2012 01:20:42 GMT
]]>Fri, 12 Oct 2012 23:28:04 GMTFri, 12 Oct 2012 15:59:47 GMTRazor, ladies and gents. UR staff chose to display the odds that are based purely on luck on preset pages. It makes the most sense, then, that the draws are indeed based on luck.]]>Fri, 12 Oct 2012 09:12:34 GMT
Since we are not certain if there is bias we cannot use mathematical model, but have to rely on repeated tests.

Thats why rivalry01 brought this up, UR does NOT promise that draws are made purely of luck, therefore to test against bias you need real tests and not mathematical theory.]]>Thu, 11 Oct 2012 00:46:48 GMTThu, 11 Oct 2012 00:41:18 GMTWed, 10 Oct 2012 18:06:16 GMT
Where n is the number of cards in a deck ( and k is the number of cards in a hand (4):

Number of combinations = n!/(k!(n-k)!) = 8!/(4!(8-4)!)

Now, we need to know the amount of combinations that add up to two cards from each clan. Once again, we find the binomial distribution but this time with the number of cards in one hand (4) and the number of cards from one specific clan in a 2/2 hand (2).

Number of combinations = n!/(k!(n-k)!) = 4!/(2!(4-2)!) = 6

But remember: For each of the six combinations in one clan, there are also six possible combination for the other clan. For this reason, we square 6.

6^2 = 36

We divide the number of 2/2 hands by the total number of hands and get:

36/70 = 0.514 = 51.4%

Statistics are fun ]]>Wed, 10 Oct 2012 17:39:44 GMT
So if your high star'ed are one clan and low on the other this will vary your results]]>Wed, 10 Oct 2012 05:33:53 GMTWed, 10 Oct 2012 05:13:02 GMTWed, 10 Oct 2012 03:44:15 GMTelo. I was assuming it should be about 50% 2/2 (2 cards from each clan I mean). In 48 fights I've only gotten 2/2 11 times, or about 23%. I know 48 isn't a large sample but it's consistently hovering around 21%. Is there some card selection process I don't know about, or am I just having bad beginner's luck?]]>