Rolling 5, 6 sided dies, where (as an example) 3, 2 and 1 face of each die are equivalent
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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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add a comment |
$begingroup$
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.
probability dice
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1
$begingroup$
en.m.wikipedia.org/wiki/Multinomial_distribution
$endgroup$
– amd
Dec 29 '18 at 3:06
add a comment |
$begingroup$
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.
probability dice
$endgroup$
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
probability dice
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
add a comment |
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
add a comment |
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$begingroup$
en.m.wikipedia.org/wiki/Multinomial_distribution
$endgroup$
– amd
Dec 29 '18 at 3:06