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I have the following problem that i don't know how to start solwing. I want to know if an occurence of my dice throwing outcomes is higher or lower then expected. I'll try to describe the problem as much as i can but if i miss something please feal free to ask. All I am looking for is a kick in the right direction.

let say i have two sets of dices one is black (B) the other is white (W). Now when i throw black dices (let say there are b=8 black dices and w=5 white ones) i get an outcome like this B={2,4,2,1,1,4,5,6 }. Then i throw the white ones and i get W={2,1,1,3,3}. My question is : given that B and W share 3 outcomes (shared outcomes: 1,1,2), is that more or less then expected. how would i start modeling my particular problem. Clearly i have a binom. distr. here but what confuses me is the numbr of dices in B and W.

Is it clear what i am looking for?? So I am interested to know if the intersect of shered outcomes is something that i would expect by chance alone or not. My model should only depend on b and w. Can someone please help me get started.

thank you

baxy

ps this is a post similar to the one on MHF but apperently the site as been compromizd so i have reposted it here.