Rolling 5, 6 sided dies, where (as an example) 3, 2 and 1 face of each die are equivalent












0












$begingroup$


Let's say we have a 6 sided die. 3 of the sides have the value A, 2 have the value B and 1 have the value C.



If we take 5 of those, roll them together and look at the possible values, how would I go about finding the probability for specific combinations? Examples of combinations where X denotes any value could be:




AAXXX



AAAXX



AABBX



ABCXX



4 of a kind




Is there a general way to figure the probability of obtaining a combination from a roll of 5 dice? Both for a die face distribution 3A2B1C and possibly other alternate distributions like 3A1B1C1D.



Thank you for any help you can give. I'm sorry if the question is a bit bare bones on my end but I was a bit unsure exactly how to approach this.










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  • 1




    $begingroup$
    en.m.wikipedia.org/wiki/Multinomial_distribution
    $endgroup$
    – amd
    Dec 29 '18 at 3:06
















0












$begingroup$


Let's say we have a 6 sided die. 3 of the sides have the value A, 2 have the value B and 1 have the value C.



If we take 5 of those, roll them together and look at the possible values, how would I go about finding the probability for specific combinations? Examples of combinations where X denotes any value could be:




AAXXX



AAAXX



AABBX



ABCXX



4 of a kind




Is there a general way to figure the probability of obtaining a combination from a roll of 5 dice? Both for a die face distribution 3A2B1C and possibly other alternate distributions like 3A1B1C1D.



Thank you for any help you can give. I'm sorry if the question is a bit bare bones on my end but I was a bit unsure exactly how to approach this.










share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    en.m.wikipedia.org/wiki/Multinomial_distribution
    $endgroup$
    – amd
    Dec 29 '18 at 3:06














0












0








0





$begingroup$


Let's say we have a 6 sided die. 3 of the sides have the value A, 2 have the value B and 1 have the value C.



If we take 5 of those, roll them together and look at the possible values, how would I go about finding the probability for specific combinations? Examples of combinations where X denotes any value could be:




AAXXX



AAAXX



AABBX



ABCXX



4 of a kind




Is there a general way to figure the probability of obtaining a combination from a roll of 5 dice? Both for a die face distribution 3A2B1C and possibly other alternate distributions like 3A1B1C1D.



Thank you for any help you can give. I'm sorry if the question is a bit bare bones on my end but I was a bit unsure exactly how to approach this.










share|cite|improve this question









$endgroup$




Let's say we have a 6 sided die. 3 of the sides have the value A, 2 have the value B and 1 have the value C.



If we take 5 of those, roll them together and look at the possible values, how would I go about finding the probability for specific combinations? Examples of combinations where X denotes any value could be:




AAXXX



AAAXX



AABBX



ABCXX



4 of a kind




Is there a general way to figure the probability of obtaining a combination from a roll of 5 dice? Both for a die face distribution 3A2B1C and possibly other alternate distributions like 3A1B1C1D.



Thank you for any help you can give. I'm sorry if the question is a bit bare bones on my end but I was a bit unsure exactly how to approach this.







probability dice






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share|cite|improve this question











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share|cite|improve this question










asked Dec 29 '18 at 2:08









Yous0147Yous0147

1




1








  • 1




    $begingroup$
    en.m.wikipedia.org/wiki/Multinomial_distribution
    $endgroup$
    – amd
    Dec 29 '18 at 3:06














  • 1




    $begingroup$
    en.m.wikipedia.org/wiki/Multinomial_distribution
    $endgroup$
    – amd
    Dec 29 '18 at 3:06








1




1




$begingroup$
en.m.wikipedia.org/wiki/Multinomial_distribution
$endgroup$
– amd
Dec 29 '18 at 3:06




$begingroup$
en.m.wikipedia.org/wiki/Multinomial_distribution
$endgroup$
– amd
Dec 29 '18 at 3:06










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