• Kate - Tuesday 16/08/2011, 02:29
Urban Rivals Staff

deleted

My ELO deck. I've always had a question, how come theres a higher chance you can get both clan bonuses than the 3-1 split? I can't wrap my head around it lol. I suppose theres a challenge for you good-with-numbers people. Possibly someone can explain it to me?

• fisheatdog - Tuesday 16/08/2011, 03:19
Imperator - Organized Konfusion

There are 70 possible deck combinations (8 choose 4). to get both bonuses, you first need two from one clan, which there are 6 possible ways to do (4 choose 2). same goes for the second, 6 ways. so, 6*6, there are 36 ways out of 70 to get both bonuses. 36/70 rounds to 50.4% chance, which is why there is a slightly higher chance.

not sure if that helps. thats the math behind it but it doesn't really explain why. its just the way it works out.

• KNIGHTomato - Tuesday 16/08/2011, 06:15
Imperator

Fisheatdog's pretty much got the math right. Except the small typo 36/70 being 51.4, as they say on the preset page.

The intuition behind it is simply that drawing a card from a deck (with finite no. of cards from each clan) lowers the probability of the next draw being from the same clan.

For example you've drawn 2 Roots and 1 Sent, the 4rd card only has a 2/5 chance of being Roots again compared to 3/5 being Sent; and so forth for all combinations of draws.