What are the chances to have three same numbers on dices, three times in a row?











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So, my friends and I were playing a game with dices, and we used to get three same numbers for three times in a row. So we are wondering what are the probabilities for something like that to occur?










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  • Do you mean three consecutive triples, or the same three consecutive triples? Does $2-2-2,3-3-3,4-4-4$ count, or would you have to have $1-1-1$ three straight times?
    – saulspatz
    Nov 18 at 18:01












  • We got 5-5-5, 6-6-6, 4-4-4. Like this.
    – Goge
    Nov 18 at 18:06










  • ${1over6^6}approx .00002143347$
    – saulspatz
    Nov 18 at 18:09















up vote
0
down vote

favorite












So, my friends and I were playing a game with dices, and we used to get three same numbers for three times in a row. So we are wondering what are the probabilities for something like that to occur?










share|cite|improve this question






















  • Do you mean three consecutive triples, or the same three consecutive triples? Does $2-2-2,3-3-3,4-4-4$ count, or would you have to have $1-1-1$ three straight times?
    – saulspatz
    Nov 18 at 18:01












  • We got 5-5-5, 6-6-6, 4-4-4. Like this.
    – Goge
    Nov 18 at 18:06










  • ${1over6^6}approx .00002143347$
    – saulspatz
    Nov 18 at 18:09













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0
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up vote
0
down vote

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So, my friends and I were playing a game with dices, and we used to get three same numbers for three times in a row. So we are wondering what are the probabilities for something like that to occur?










share|cite|improve this question













So, my friends and I were playing a game with dices, and we used to get three same numbers for three times in a row. So we are wondering what are the probabilities for something like that to occur?







dice






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asked Nov 18 at 17:51









Goge

11




11












  • Do you mean three consecutive triples, or the same three consecutive triples? Does $2-2-2,3-3-3,4-4-4$ count, or would you have to have $1-1-1$ three straight times?
    – saulspatz
    Nov 18 at 18:01












  • We got 5-5-5, 6-6-6, 4-4-4. Like this.
    – Goge
    Nov 18 at 18:06










  • ${1over6^6}approx .00002143347$
    – saulspatz
    Nov 18 at 18:09


















  • Do you mean three consecutive triples, or the same three consecutive triples? Does $2-2-2,3-3-3,4-4-4$ count, or would you have to have $1-1-1$ three straight times?
    – saulspatz
    Nov 18 at 18:01












  • We got 5-5-5, 6-6-6, 4-4-4. Like this.
    – Goge
    Nov 18 at 18:06










  • ${1over6^6}approx .00002143347$
    – saulspatz
    Nov 18 at 18:09
















Do you mean three consecutive triples, or the same three consecutive triples? Does $2-2-2,3-3-3,4-4-4$ count, or would you have to have $1-1-1$ three straight times?
– saulspatz
Nov 18 at 18:01






Do you mean three consecutive triples, or the same three consecutive triples? Does $2-2-2,3-3-3,4-4-4$ count, or would you have to have $1-1-1$ three straight times?
– saulspatz
Nov 18 at 18:01














We got 5-5-5, 6-6-6, 4-4-4. Like this.
– Goge
Nov 18 at 18:06




We got 5-5-5, 6-6-6, 4-4-4. Like this.
– Goge
Nov 18 at 18:06












${1over6^6}approx .00002143347$
– saulspatz
Nov 18 at 18:09




${1over6^6}approx .00002143347$
– saulspatz
Nov 18 at 18:09















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