Probability 2 dice question [closed]

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If $2$ six sided dice are rolled, what are the odds of getting matching numbers?







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closed as off-topic by amWhy, José Carlos Santos, John Ma, Mostafa Ayaz, Stefan4024 Aug 2 at 19:20


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, José Carlos Santos, John Ma, Mostafa Ayaz, Stefan4024
If this question can be reworded to fit the rules in the help center, please edit the question.








  • 2




    Hint: first roll a die that results in some number. What is the probability that the second die results in this number?
    – drhab
    Aug 2 at 18:17










  • 1/6? The answer I have is 1/5, hence I got confused
    – user9513164
    Aug 2 at 18:19






  • 2




    $1/6$ is correct (if the dice are unbiased).
    – drhab
    Aug 2 at 18:22















up vote
-2
down vote

favorite
1












If $2$ six sided dice are rolled, what are the odds of getting matching numbers?







share|cite|improve this question













closed as off-topic by amWhy, José Carlos Santos, John Ma, Mostafa Ayaz, Stefan4024 Aug 2 at 19:20


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, José Carlos Santos, John Ma, Mostafa Ayaz, Stefan4024
If this question can be reworded to fit the rules in the help center, please edit the question.








  • 2




    Hint: first roll a die that results in some number. What is the probability that the second die results in this number?
    – drhab
    Aug 2 at 18:17










  • 1/6? The answer I have is 1/5, hence I got confused
    – user9513164
    Aug 2 at 18:19






  • 2




    $1/6$ is correct (if the dice are unbiased).
    – drhab
    Aug 2 at 18:22













up vote
-2
down vote

favorite
1









up vote
-2
down vote

favorite
1






1





If $2$ six sided dice are rolled, what are the odds of getting matching numbers?







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If $2$ six sided dice are rolled, what are the odds of getting matching numbers?









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edited Aug 2 at 18:49









Javi

2,1481625




2,1481625









asked Aug 2 at 18:13









user9513164

123




123




closed as off-topic by amWhy, José Carlos Santos, John Ma, Mostafa Ayaz, Stefan4024 Aug 2 at 19:20


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, José Carlos Santos, John Ma, Mostafa Ayaz, Stefan4024
If this question can be reworded to fit the rules in the help center, please edit the question.




closed as off-topic by amWhy, José Carlos Santos, John Ma, Mostafa Ayaz, Stefan4024 Aug 2 at 19:20


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, José Carlos Santos, John Ma, Mostafa Ayaz, Stefan4024
If this question can be reworded to fit the rules in the help center, please edit the question.







  • 2




    Hint: first roll a die that results in some number. What is the probability that the second die results in this number?
    – drhab
    Aug 2 at 18:17










  • 1/6? The answer I have is 1/5, hence I got confused
    – user9513164
    Aug 2 at 18:19






  • 2




    $1/6$ is correct (if the dice are unbiased).
    – drhab
    Aug 2 at 18:22













  • 2




    Hint: first roll a die that results in some number. What is the probability that the second die results in this number?
    – drhab
    Aug 2 at 18:17










  • 1/6? The answer I have is 1/5, hence I got confused
    – user9513164
    Aug 2 at 18:19






  • 2




    $1/6$ is correct (if the dice are unbiased).
    – drhab
    Aug 2 at 18:22








2




2




Hint: first roll a die that results in some number. What is the probability that the second die results in this number?
– drhab
Aug 2 at 18:17




Hint: first roll a die that results in some number. What is the probability that the second die results in this number?
– drhab
Aug 2 at 18:17












1/6? The answer I have is 1/5, hence I got confused
– user9513164
Aug 2 at 18:19




1/6? The answer I have is 1/5, hence I got confused
– user9513164
Aug 2 at 18:19




2




2




$1/6$ is correct (if the dice are unbiased).
– drhab
Aug 2 at 18:22





$1/6$ is correct (if the dice are unbiased).
– drhab
Aug 2 at 18:22











2 Answers
2






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1
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Two six-sided dice are thrown the sample space is given by $Omega = 1,2,3,4,5,6 times 1,2,3,4,5,6 $



$$beginbmatrix (1,1) & (2,1) & (3,1) & (4,1) & (5,1) & (6,1) \ (1,2) & (2,2) & (3,2) & (4,2) & (5,2) & (6,2) \ (1,3) & (2,3) & (3,3) & (4,3) & (5,3) & (6,3) \ (1,4) & (2,4) & (3,4) & (4,4) & (5,4) & (6,4) \ (1,5) & (2,5) & (3,5) & (4,5) & (5,5) & (6,5) \ (1,6) & (2,6) & (3,6) & (4,6) & (5,6) & (6,6) \ endbmatrix $$



There are $36 $ possibilites. Right across the diagonal we have doubles. That is
$$ D = (1,1) ,(2,2) ,(3,3),(4,4),(5,5),(6,6) $$



The probability is



$$ P = fracDOmega = frac636 = frac16$$






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    up vote
    0
    down vote













    1 out of 6. The first die roll you can get anything. The second die rolled has to be one specific value out of 6 possible outcomes.






    share|cite|improve this answer





















    • Thanks for confirming!
      – user9513164
      Aug 2 at 18:20










    • Yup. Follow up: what's the probability that you roll two die and get different numbers?
      – Mason
      Aug 2 at 18:22

















    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    1
    down vote













    Two six-sided dice are thrown the sample space is given by $Omega = 1,2,3,4,5,6 times 1,2,3,4,5,6 $



    $$beginbmatrix (1,1) & (2,1) & (3,1) & (4,1) & (5,1) & (6,1) \ (1,2) & (2,2) & (3,2) & (4,2) & (5,2) & (6,2) \ (1,3) & (2,3) & (3,3) & (4,3) & (5,3) & (6,3) \ (1,4) & (2,4) & (3,4) & (4,4) & (5,4) & (6,4) \ (1,5) & (2,5) & (3,5) & (4,5) & (5,5) & (6,5) \ (1,6) & (2,6) & (3,6) & (4,6) & (5,6) & (6,6) \ endbmatrix $$



    There are $36 $ possibilites. Right across the diagonal we have doubles. That is
    $$ D = (1,1) ,(2,2) ,(3,3),(4,4),(5,5),(6,6) $$



    The probability is



    $$ P = fracDOmega = frac636 = frac16$$






    share|cite|improve this answer

























      up vote
      1
      down vote













      Two six-sided dice are thrown the sample space is given by $Omega = 1,2,3,4,5,6 times 1,2,3,4,5,6 $



      $$beginbmatrix (1,1) & (2,1) & (3,1) & (4,1) & (5,1) & (6,1) \ (1,2) & (2,2) & (3,2) & (4,2) & (5,2) & (6,2) \ (1,3) & (2,3) & (3,3) & (4,3) & (5,3) & (6,3) \ (1,4) & (2,4) & (3,4) & (4,4) & (5,4) & (6,4) \ (1,5) & (2,5) & (3,5) & (4,5) & (5,5) & (6,5) \ (1,6) & (2,6) & (3,6) & (4,6) & (5,6) & (6,6) \ endbmatrix $$



      There are $36 $ possibilites. Right across the diagonal we have doubles. That is
      $$ D = (1,1) ,(2,2) ,(3,3),(4,4),(5,5),(6,6) $$



      The probability is



      $$ P = fracDOmega = frac636 = frac16$$






      share|cite|improve this answer























        up vote
        1
        down vote










        up vote
        1
        down vote









        Two six-sided dice are thrown the sample space is given by $Omega = 1,2,3,4,5,6 times 1,2,3,4,5,6 $



        $$beginbmatrix (1,1) & (2,1) & (3,1) & (4,1) & (5,1) & (6,1) \ (1,2) & (2,2) & (3,2) & (4,2) & (5,2) & (6,2) \ (1,3) & (2,3) & (3,3) & (4,3) & (5,3) & (6,3) \ (1,4) & (2,4) & (3,4) & (4,4) & (5,4) & (6,4) \ (1,5) & (2,5) & (3,5) & (4,5) & (5,5) & (6,5) \ (1,6) & (2,6) & (3,6) & (4,6) & (5,6) & (6,6) \ endbmatrix $$



        There are $36 $ possibilites. Right across the diagonal we have doubles. That is
        $$ D = (1,1) ,(2,2) ,(3,3),(4,4),(5,5),(6,6) $$



        The probability is



        $$ P = fracDOmega = frac636 = frac16$$






        share|cite|improve this answer













        Two six-sided dice are thrown the sample space is given by $Omega = 1,2,3,4,5,6 times 1,2,3,4,5,6 $



        $$beginbmatrix (1,1) & (2,1) & (3,1) & (4,1) & (5,1) & (6,1) \ (1,2) & (2,2) & (3,2) & (4,2) & (5,2) & (6,2) \ (1,3) & (2,3) & (3,3) & (4,3) & (5,3) & (6,3) \ (1,4) & (2,4) & (3,4) & (4,4) & (5,4) & (6,4) \ (1,5) & (2,5) & (3,5) & (4,5) & (5,5) & (6,5) \ (1,6) & (2,6) & (3,6) & (4,6) & (5,6) & (6,6) \ endbmatrix $$



        There are $36 $ possibilites. Right across the diagonal we have doubles. That is
        $$ D = (1,1) ,(2,2) ,(3,3),(4,4),(5,5),(6,6) $$



        The probability is



        $$ P = fracDOmega = frac636 = frac16$$







        share|cite|improve this answer













        share|cite|improve this answer



        share|cite|improve this answer











        answered Aug 2 at 18:26









        RHowe

        825715




        825715




















            up vote
            0
            down vote













            1 out of 6. The first die roll you can get anything. The second die rolled has to be one specific value out of 6 possible outcomes.






            share|cite|improve this answer





















            • Thanks for confirming!
              – user9513164
              Aug 2 at 18:20










            • Yup. Follow up: what's the probability that you roll two die and get different numbers?
              – Mason
              Aug 2 at 18:22














            up vote
            0
            down vote













            1 out of 6. The first die roll you can get anything. The second die rolled has to be one specific value out of 6 possible outcomes.






            share|cite|improve this answer





















            • Thanks for confirming!
              – user9513164
              Aug 2 at 18:20










            • Yup. Follow up: what's the probability that you roll two die and get different numbers?
              – Mason
              Aug 2 at 18:22












            up vote
            0
            down vote










            up vote
            0
            down vote









            1 out of 6. The first die roll you can get anything. The second die rolled has to be one specific value out of 6 possible outcomes.






            share|cite|improve this answer













            1 out of 6. The first die roll you can get anything. The second die rolled has to be one specific value out of 6 possible outcomes.







            share|cite|improve this answer













            share|cite|improve this answer



            share|cite|improve this answer











            answered Aug 2 at 18:17









            Mason

            1,1271223




            1,1271223











            • Thanks for confirming!
              – user9513164
              Aug 2 at 18:20










            • Yup. Follow up: what's the probability that you roll two die and get different numbers?
              – Mason
              Aug 2 at 18:22
















            • Thanks for confirming!
              – user9513164
              Aug 2 at 18:20










            • Yup. Follow up: what's the probability that you roll two die and get different numbers?
              – Mason
              Aug 2 at 18:22















            Thanks for confirming!
            – user9513164
            Aug 2 at 18:20




            Thanks for confirming!
            – user9513164
            Aug 2 at 18:20












            Yup. Follow up: what's the probability that you roll two die and get different numbers?
            – Mason
            Aug 2 at 18:22




            Yup. Follow up: what's the probability that you roll two die and get different numbers?
            – Mason
            Aug 2 at 18:22


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