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.]]>

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 ]]>

So if your high star'ed are one clan and low on the other this will vary your results]]>