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?
dice
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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?
dice
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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up vote
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up vote
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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?
dice
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
dice
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
add a comment |
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
add a comment |
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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