rolling a dice multiple times: when the distribution is binomial and when it is not












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I suppose we roll a 6-sided dice three times. A probability to to obtain two times number 3 can be framed as binomial because I can define as "p" a probability to obtain 3 and "1-p" the remaining outcomes. But if the question is the probability to obtain twice 3 and once 1, the problem cannot be solved using binomial, because there are more than two potential outcomes (3, 1 and anything else). Am I right?



Thanks










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  • 1




    Yes, you're correct. The last question could be answered using the multinomial distribution, by the way.
    – littleO
    Dec 26 '18 at 17:19










  • Thanks for help!
    – John
    Dec 26 '18 at 17:29
















1














I suppose we roll a 6-sided dice three times. A probability to to obtain two times number 3 can be framed as binomial because I can define as "p" a probability to obtain 3 and "1-p" the remaining outcomes. But if the question is the probability to obtain twice 3 and once 1, the problem cannot be solved using binomial, because there are more than two potential outcomes (3, 1 and anything else). Am I right?



Thanks










share|cite|improve this question


















  • 1




    Yes, you're correct. The last question could be answered using the multinomial distribution, by the way.
    – littleO
    Dec 26 '18 at 17:19










  • Thanks for help!
    – John
    Dec 26 '18 at 17:29














1












1








1







I suppose we roll a 6-sided dice three times. A probability to to obtain two times number 3 can be framed as binomial because I can define as "p" a probability to obtain 3 and "1-p" the remaining outcomes. But if the question is the probability to obtain twice 3 and once 1, the problem cannot be solved using binomial, because there are more than two potential outcomes (3, 1 and anything else). Am I right?



Thanks










share|cite|improve this question













I suppose we roll a 6-sided dice three times. A probability to to obtain two times number 3 can be framed as binomial because I can define as "p" a probability to obtain 3 and "1-p" the remaining outcomes. But if the question is the probability to obtain twice 3 and once 1, the problem cannot be solved using binomial, because there are more than two potential outcomes (3, 1 and anything else). Am I right?



Thanks







probability binomial-distribution






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asked Dec 26 '18 at 17:10









John

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1156








  • 1




    Yes, you're correct. The last question could be answered using the multinomial distribution, by the way.
    – littleO
    Dec 26 '18 at 17:19










  • Thanks for help!
    – John
    Dec 26 '18 at 17:29














  • 1




    Yes, you're correct. The last question could be answered using the multinomial distribution, by the way.
    – littleO
    Dec 26 '18 at 17:19










  • Thanks for help!
    – John
    Dec 26 '18 at 17:29








1




1




Yes, you're correct. The last question could be answered using the multinomial distribution, by the way.
– littleO
Dec 26 '18 at 17:19




Yes, you're correct. The last question could be answered using the multinomial distribution, by the way.
– littleO
Dec 26 '18 at 17:19












Thanks for help!
– John
Dec 26 '18 at 17:29




Thanks for help!
– John
Dec 26 '18 at 17:29















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