Dice Rolling Probabilities

    This site uses cookies. By continuing to browse this site, you are agreeing to our Cookie Policy.

    • Dice Rolling Probabilities

      Here are the probabilities of rolling one, two, three, four, five and six dice in the game. Hope you find it useful.

      To search for a particular combination, CTRL-F works I guess. Keep in mind that R is first, S is second, B is third, Y is last. So if you want to search for two R's, two B's, one Y and one S, the string to search for is RRSBBY.


      1 dice:

      One DiceProbability
      R/S33.333%
      B/Y16.667%




      2 dice:

      Two DiceProbability
      RS22.222%
      RR/RB/RY/
      SS/SB/SY
      11.111%
      BY5.556%
      BB/YY2.778%




      3 dice:

      Three DiceProbability
      RRS/RSS/RSB/RSY11.111%
      RRB/RRY/RBY/
      SSB/SSY/SBY
      5.556%
      RRR/SSS3.704%
      RBB/RYY/
      SBB/SYY
      2.778%
      BBY/BYY1.389%
      BBB/YYY0.463%




      4 dice:

      Four DiceProbability
      RRSS/RRSB/RRSY/
      RSSB/RSSY/RSBY
      7.408%
      RRRS/RSSS4.934%
      RRBY/RSBB/RSYY/SSBY3.704%
      RRRB/RRRY/
      SSSB/SSSY
      2.470%
      RRBB/RRYY/RBBY/RBYY/
      SSBB/SSYY/SBBY/SBYY
      1.852%
      RRRR/SSSS1.235%
      RBBB/RYYY/
      SBBB/SYYY
      0.617%
      BBYY0.463%
      BBBY/BYYY0.309%
      BBBB/YYYY0.077%




      5 dice:

      Five DiceProbability
      RRSSB/RRSSY/RRSBY/RSSBY6.173%
      RRRSS/RRRSB/RRRSY/RRSSS/RSSSB/RSSSY4.115%
      RRSBB/RRSYY/RSSBB/RSSYY/RSBBY/RSBYY3.086%
      RRRRS/RRRBY/RSSSS/SSSBY2.058%
      RRBBY/RRBYY/SSBBY/SSBYY1.543%
      RRRRB/RRRRY/RRRBB/RRRYY/
      RSBBB/RSYYY/
      SSSSB/SSSSY/SSSBB/SSSYY
      1.029%
      RBBYY/SBBYY0.772%
      RRBBB/RRYYY/RBBBY/RBYYY/
      SSBBB/SSYYY/SBBBY/SBYYY
      0.514%
      RRRRR/SSSSS0.412%
      RBBBB/RYYYY/
      SBBBB/SYYYY/
      BBBYY/BBYYY
      0.129%
      BBBBY/BYYYY0.064%
      BBBBB/YYYYY0.013%




      6 Dice:
      Six DiceProbability
      RRSSBY6.173%
      RRRSSB/RRRSSY/RRRSBY/RRSSSB/RRSSSY/RSSSBY4.115%
      RRSSBB/RRSSYY/RRSBBY/RRSBYY/RSSBBY/RSSBYY3.086%
      RRRSSS2.744%
      RRRRSS/RRSSSS/
      RRRRSB/RRRRSY/RRRSBB/RRRSYY/
      RSSSSB/RSSSSY/RSSSBB/RSSSYY
      2.058%
      RSBBYY1.543%
      RRRRBY/RRRBBY/RRRBYY/
      RRSBBB/RRSYYY/
      RSSBBB/RSSYYY/
      RSBBBY/RSBYYY/
      SSSSBY/SSSBBY/SSSBYY
      1.029%
      RRRRRS/RSSSSS0.823%
      RRBBYY/SSBBYY0.772%
      RRRRBB/RRRRYY/RRBBBY/RRBYYY/
      SSSSBB/SSSSYY/SSBBBY/SSBYYY
      0.514%
      RRRRRB/RRRRRY/
      SSSSSB/SSSSSY
      0.412%
      RRRBBB/RRRYYY/
      SSSBBB/SSSYYY
      0.343%
      RSBBBB/RSYYYY/
      RBBBYY/RBBYYY/
      SBBBYY/SBBYYY
      0.257%
      RRRRRR/SSSSSS0.137%
      RRBBBB/RRYYYY/RBBBBY/RBYYYY/
      SSBBBB/SSYYYY/SBBBBY/SBYYYY
      0.129%
      BBBYYY0.043%
      BBBBYY/BBYYYY0.032%
      RBBBBB/RYYYYY/
      SBBBBB/SYYYYY
      0.026%
      BBBBBY/BYYYYY0.013%
      BBBBBB/YYYYYY0.002%
    • This is just an overall comment on the probabilities above.

      A question I was asked in the other thread was the following. Suppose I want RRRBBB and I get RRSSSY in my first dice roll, say. Is it better to keep RR and hope to roll RBBB, or is it better to just reroll all six dice?

      The answer is: overall, dice-saving gives you higher probabilities than re-rolling everything, and it is practically always beneficial to dice-save over rerolling everything. You should ALWAYS dice-save any B or Y you get that you need, especially. For R's and S's, this rule is not as clear-cut, but the probabilities are still better. Also, rolling 5 dice and rolling 6 dice have pretty similar probabilities, so perhaps it IS better to reroll everything rather than saving a single R or S. Saving a single B or Y should be a no-brainer, however.

      Another comment: getting more than 3 R's is quite difficult. I don't know how people do it consistently, but I can barely get RRRRxx, let alone RRRRRR. And the above charts tell you why more than three R's are difficult to obtain.

      Sidenote: There's a card having 700 strength and, when I play against it, my opponent always gets SSSSSS. Every. Single. Time. I wonder how he does it consistently, seeing as the probability to get SSSSSS is rather low, even with dice-saving. (Sometimes I get RBBBYY after 2 dice-saves.) If the above charts teach you anything, it must be that ignorance is bliss - I end up saying to myself 'how on Earth are you getting that perfect roll when that roll has an absurdly low probability of turning up?' (A sidenote to the side-note: is it possible that people are cheating?)