TEXT:  
  Dice 
   The Dice Charts reflect the statistical details of dice rolls. Using these 
  charts, any player or referee can understand the probability that any 
  specific dice roll will succeed. 
  Dice-1 
   
  1�
  Dice-1 
  1�
   
  1D ONE DIE (6^1 = 6 outcomes; range 1-6) 
  Roll 
  N 
  N% 
  N - 
  N -% 
  N+ 
  N+% 
   
  0 
  0 
  no 
  0 
  no 
  6 
  100% 
   
  1 
  1 
  17% 
  1 
  17% 
  6 
  100% 
   
  2 
  1 
  17% 
  2 
  33% 
  5 
  83% 
   
  3 
  1 
  17% 
  3 
  50% 
  4 
  67% 
   
  4 
  1 
  17% 
  4 
  67% 
  3 
  50% 
   
  5 
  1 
  17% 
  5 
  83% 
  2 
  33% 
   
  6 
  1 
  17% 
  6 
  100% 
  1 
  17% 
   
  7 
  0 
  no 
  6 
  100% 
  0 
  no 
   There are 6 possible outcomes ranging from 1 to 6.  
   Outcomes are equally possible; the average is 3.5 (3 or 4). 
   
  2D TWO DICE (6^2 = 36 outcomes; range 2-12) 
  Roll 
  N 
  N% 
  N - 
  N -% 
  N+ 
  N+% 
   
  1 
  0 
  no 
  0 
  no 
  36 
  100% 
   
  2 
  1 
  3% 
  1 
  3% 
  36 
  100% 
   
  3 
  2 
  6% 
  3 
  8% 
  35 
  97% 
   
  4 
  3 
  8% 
  6 
  17% 
  33 
  92% 
   
  5 
  4 
  11% 
  10 
  28% 
  30 
  83% 
   
  6 
  5 
  14% 
  15 
  42% 
  26 
  72% 
   
  7 
  6 
  17% 
  21 
  58% 
  21 
  58% 
   
  8 
  5 
  14% 
  26 
  72% 
  15 
  42% 
   
  9 
  4 
  11% 
  30 
  83% 
  10 
  28% 
   10 
  3 
  8% 
  33 
  92% 
  6 
  17% 
   11 
  2 
  6% 
  35 
  97% 
  3 
  8% 
   12 
  1 
  3% 
  36 
  100% 
  1 
  3% 
   13 
  0 
  no 
  36 
  100% 
  0 
  no 
   There are 36 possible outcomes ranging from 2 to 12.  
   The most probable roll is 7 (17%). 
   
  3D THREE DICE (6^3 = 216 outcomes; range 3-18) 
  Roll 
  N 
  N% 
  N - 
  N -% 
  N+ 
  N+% 
   
  1 
  0 
  no 
  0 
  100% 
  216 
  100% 
   
  2 
  0 
  no 
  0 
  100% 
  216 
  100% 
   
  3 
  1 
  <1% 
  1 
  <1% 
  216 
  100% 
   
  4 
  3 
  1% 
  4 
  2% 
  215 
  >99% 
   
  5 
  6 
  3% 
  10 
  5% 
  212 
  98% 
   
  6 
  10 
  5% 
  20 
  9% 
  206 
  95% 
   
  7 
  15 
  7% 
  35 
  16% 
  196 
  91% 
   
  8 
  21 
  10% 
  56 
  26% 
  181 
  84% 
   
  9 
  25 
  12% 
  81 
  38% 
  160 
  74% 
   10 
  27 
  13% 
  108 
  50% 
  135 
  63% 
   11 
  27 
  13% 
  135 
  63% 
  108 
  50% 
   12 
  25 
  12% 
  160 
  74% 
  81 
  38% 
   13 
  21 
  10% 
  181 
  84% 
  56 
  26% 
   14 
  15 
  7% 
  196 
  91% 
  35 
  16% 
   15 
  10 
  5% 
  206 
  95% 
  20 
  9% 
   16 
  6 
  3% 
  212 
  98% 
  10 
  5% 
   17 
  3 
  1% 
  215 
  >99% 
  4 
  2% 
   18 
  1 
  <1% 
  216 
  100% 
  1 
  <1% 
   19 
  0 
  no 
  216 
  no 
  0 
  no 
   There are 216 possible outcomes ranging from 3 to 18.  
   The most probable roll is 10 or 11 (equally at 13% each).
  4D FOUR DICE (6^4 = 1296 outcomes; range 4 - 24) 
  Roll 
  N 
  N% 
  N - 
  N -% 
  N+ 
  N+% 
   
  0 
  0 
  no 
  0 
  no 
  1296 
  100% 
   
  1 
  0 
  no 
  0 
  no 
  1296 
  100% 
   
  2 
  0 
  no 
  0 
  no 
  1296 
  100% 
   
  3 
  0 
  no 
  0 
  no 
  1296 
  100% 
   
  4 
  1 
  <1% 
  1 
  <1% 
  1296 
  100% 
   
  5 
  4 
  <1% 
  5 
  <1% 
  1295 
  >99% 
   
  6 
  10 
  <1% 
  15 
  1% 
  1291 
  >99% 
   
  7 
  20 
  2% 
  35 
  3% 
  1281 
  99% 
   
  8 
  35 
  3% 
  70 
  5% 
  1261 
  97% 
   
  9 
  56 
  4% 
  126 
  10% 
  1226 
  95% 
   10 
  80 
  6% 
  206 
  16% 
  1170 
  90% 
   11 
  104 
  8% 
  310 
  24% 
  1090 
  84% 
   12 
  125 
  10% 
  435 
  34% 
  986 
  76% 
   13 
  140 
  11% 
  575 
  44% 
  861 
  66% 
   14 
  146 
  11% 
  721 
  56% 
  721 
  56% 
   15 
  140 
  11% 
  861 
  66% 
  575 
  44% 
   16 
  125 
  10% 
  986 
  76% 
  435 
  34% 
   17 
  104 
  8% 
  1090 
  84% 
  310 
  24% 
   18 
  80 
  6% 
  1170 
  90% 
  206 
  16% 
   19 
  56 
  4% 
  1226 
  95% 
  126 
  10% 
   20 
  35 
  3% 
  1261 
  97% 
  70 
  5% 
   21 
  20 
  2% 
  1281 
  99% 
  35 
  3% 
   22 
  10 
  <1% 
  1291 
  >99% 
  15 
  1% 
   23 
  4 
  <1% 
  1295 
  >99% 
  5 
  <1% 
   24 
  1 
  <1% 
  1296 
  100% 
  1 
  <1% 
   25 
  0 
  no 
  1296 
  100% 
  0 
  no 
   26 
  0 
  no 
  1296 
  100% 
  0 
  no 
   27 
  0 
  no 
  1296 
  100% 
  0 
  no 
   There are 1296 possible outcomes ranging from 4 to 24.  
   The most probable roll is 14 (11.3%). 
   
  FLUX TWO DICE -7 (6^2 = 36 outcomes; - 5 to +5) 
  Roll 
  N 
  N% 
  N - 
  N -% 
  N+ 
  N+% 
   - 6 
  0 
  no 
  0 
  no 
  36 
  100% 
   - 5 
  1 
  3% 
  1 
  3% 
  36 
  100% 
   
  -4 
  2 
  6% 
  3 
  8% 
  35 
  97% 
   
  -3 
  3 
  8% 
  6 
  17% 
  33 
  92% 
   
  -2 
  4 
  11% 
  10 
  28% 
  30 
  83% 
   
  -1 
  5 
  14% 
  15 
  42% 
  26 
  72% 
   
  0 
  6 
  17% 
  21 
  58% 
  21 
  58% 
   +1 
  5 
  14% 
  26 
  72% 
  15 
  42% 
   +2 
  4 
  11% 
  30 
  83% 
  10 
  28% 
   +3 
  3 
  8% 
  33 
  92% 
  6 
  17% 
   +4 
  2 
  6% 
  35 
  97% 
  3 
  8% 
   +5 
  1 
  3% 
  36 
  100% 
  1 
  3% 
   +6 
  0 
  no 
  36 
  100% 
  0 
  no 
   There are 36 possible outcomes ranging from – 5 to +5.  
   The most probable roll is 0 (17%). 
   
   Flux introduces additional variation into dice rolls. It offers 
  the opportunity for an additional modification up to 5 points in 
  the player’s favor, but at the risk of receiving instead up to 5 
  points negatively. 
  
   
  Dice 
   The Dice Charts reflect the statistical details of dice rolls. Using these 
  charts, any player or referee can understand the probability that any 
  specific dice roll will succeed. 
  Dice-2 
   
  1�
  Dice-2 
  1�
   
  5D FIVE DICE (6^5 = 7776 outcomes; range 5 - 30) 
  Roll 
  N 
  N% 
  N - 
  N -% 
  N+ 
  N+% 
   
  0 
  0 
  no 
  0 
  no 
  7776 
  100% 
   
  1 
  0 
  no 
  0 
  no 
  7776 
  100% 
   
  2 
  0 
  no 
  0 
  no 
  7776 
  100% 
   
  3 
  0 
  no 
  0 
  no 
  7776 
  100% 
   
  4 
  0 
  no 
  0 
  no 
  7776 
  100% 
   
  5 
  1 
  <1% 
  1 
  <1% 
  7776 
  100% 
   
  6 
  5 
  <1% 
  6 
  <1% 
  7775 
  >99% 
   
  7 
  15 
  <1% 
  21 
  <1% 
  7770 
  >99% 
   
  8 
  35 
  <1% 
  56 
  <1% 
  7755 
  >99% 
   
  9 
  70 
  <1% 
  126 
  2% 
  7720 
  >99% 
   10 
  126 
  2% 
  252 
  3% 
  7650 
  98% 
   11 
  205 
  3% 
  457 
  6% 
  7524 
  97% 
   12 
  305 
  4% 
  762 
  10% 
  7319 
  94% 
   13 
  420 
  5% 
  1182 
  15% 
  7014 
  90% 
   14 
  540 
  7% 
  1722 
  22% 
  6594 
  85% 
   15 
  651 
  8% 
  2373 
  31% 
  6054 
  78% 
   16 
  735 
  9% 
  3108 
  40% 
  5403 
  69% 
   17 
  780 
  10% 
  3888 
  50% 
  4668 
  60% 
   18 
  780 
  10% 
  4668 
  60% 
  3888 
  50% 
   19 
  735 
  9% 
  5403 
  69% 
  3108 
  40% 
   20 
  651 
  8% 
  6054 
  78% 
  2373 
  31% 
   21 
  540 
  7% 
  6594 
  85% 
  1722 
  22% 
   22 
  420 
  5% 
  7014 
  90% 
  1182 
  15% 
   23 
  305 
  4% 
  7319 
  94% 
  762 
  10% 
   24 
  205 
  3% 
  7524 
  97% 
  457 
  6% 
   25 
  126 
  2% 
  7650 
  98% 
  252 
  3% 
   26 
  70 
  <1% 
  7720 
  >99% 
  126 
  2% 
   27 
  35 
  <1% 
  7755 
  >99% 
  56 
  <1% 
   28 
  15 
  <1% 
  7770 
  >99% 
  21 
  <1% 
   29 
  5 
  <1% 
  7775 
  >99% 
  6 
  <1% 
   30 
  1 
  <1% 
  7776 
  100% 
  1 
  <1% 
   31 
  0 
  no 
  7776 
  100% 
  0 
  no 
   32 
  0 
  no 
  7776 
  100% 
  0 
  no 
   33 
  0 
  no 
  7776 
  100% 
  0 
  no 
   34 
  0 
  no 
  7776 
  100% 
  0 
  no 
   35 
  0 
  no 
  7776 
  100% 
  0 
  no 
   36 
  0 
  no 
  7776 
  100% 
  0 
  no 
   37 
  0 
  no 
  7776 
  100% 
  0 
  no 
   There are 7776 possible outcomes ranging from 5 to 30.  
   The most probable roll is 17 or 18 (equally at 10% each). 
  6D SIX DICE (6^6 = 46,656 outcomes; range 6 - 36) 
  Roll 
  N 
  N% 
  N - 
  N -% 
  N+ 
  N+% 
   
  0 
  0 
  <1% 
  0 
  no 
  46656 
  100% 
   
  1 
  0 
  <1% 
  0 
  no 
  46656 
  100% 
   
  2 
  0 
  <1% 
  0 
  no 
  46656 
  100% 
   
  3 
  0 
  <1% 
  0 
  no 
  46656 
  100% 
   
  4 
  0 
  <1% 
  0 
  no 
  46656 
  100% 
   
  5 
  0 
  <1% 
  0 
  no 
  46656 
  100% 
   
  6 
  1 
  <1% 
  1 
  <1% 
  46656 
  100% 
   
  7 
  6 
  <1% 
  7 
  <1% 
  46655 
  >99% 
   
  8 
  21 
  <1% 
  28 
  <1% 
  46649 
  >99% 
   
  9 
  56 
  <1% 
  84 
  <1% 
  46628 
  >99% 
   10 
  126 
  <1% 
  210 
  <1% 
  46572 
  >99% 
   11 
  252 
  <1% 
  462 
  <1% 
  46446 
  >99% 
   12 
  456 
  <1% 
  918 
  2% 
  46194 
  >99% 
   13 
  756 
  2% 
  1674 
  4% 
  45738 
  98% 
   14 
  1161 
  2% 
  2835 
  6% 
  44982 
  96% 
   15 
  1666 
  4% 
  4501 
  10% 
  43821 
  94% 
   16 
  2247 
  5% 
  6748 
  14% 
  42155 
  90% 
   17 
  2856 
  6% 
  9604 
  21% 
  39908 
  86% 
   18 
  3431 
  7% 
  13035 
  28% 
  37052 
  79% 
   19 
  3906 
  8% 
  16941 
  36% 
  33621 
  72% 
   20 
  4221 
  9% 
  21162 
  45% 
  29715 
  64% 
   21 
  4332 
  9% 
  25494 
  55% 
  25494 
  55% 
   22 
  4221 
  9% 
  29715 
  64% 
  21162 
  45% 
   23 
  3906 
  8% 
  33621 
  72% 
  16941 
  36% 
   24 
  3431 
  7% 
  37052 
  79% 
  13035 
  28% 
   25 
  2856 
  6% 
  39908 
  86% 
  9604 
  21% 
   26 
  2247 
  5% 
  42155 
  90% 
  6748 
  14% 
   27 
  1666 
  4% 
  43821 
  94% 
  4501 
  10% 
   28 
  1161 
  2% 
  44982 
  96% 
  2835 
  6% 
   29 
  756 
  2% 
  45738 
  98% 
  1674 
  4% 
   30 
  456 
  <1% 
  46194 >99% 
  918 
  2% 
   31 
  252 
  <1% 
  46446 >99% 
  462 
  <1% 
   32 
  126 
  <1% 
  46572 >99% 
  210 
  <1% 
   33 
  56 
  <1% 
  46628 >99% 
  84 
  <1% 
   34 
  21 
  <1% 
  46649 >99% 
  28 
  <1% 
   35 
  6 
  <1% 
  46655 >99% 
  7 
  <1% 
   36 
  1 
  <1% 
  46656 100% 
  1 
  <1% 
   37 
  0 
  no 
  46656 100% 
  0 
  no 
   There are 46,656 possible outcomes ranging from 6 to 36.  
   The most probable roll is 21 (9.3%). 
   
  READING THE DICE CHARTS 
   The Dice Charts show the possible outcomes of dice from 1D (a single six-sided die) to 10D (ten six-sided dice). These 
  charts are not used directly in the course of play; instead, a player or referee can consult the charts to determine the likelihood 
  of specific outcomes. For example, if rolling two six-sided dice, the 2D Chart shows: 36 possible outcomes ranging from 2 to 
  12; a 7 is possible 6 (N=6) out of 36 times, or 17% (N%= 17%); a 4 or less is possible 6 (N- = 6) out of 36 outcomes.  
   Results are rounded to even percent except at the ends of the scales. 
   <1%. The result has a probability of less than 1%. There is less than one chance in 100 that this result will occur. 
   >99%. The result has a probability of greater than 99%. There is less than one chance in 100 that this result will not occur. 
   N. The number of times the die roll result will occur in all possible outcomes. 
   N%. The percentage chance of this die roll result occurring. Calculated as N / Outcomes. 
   N- (N minus). The number of times this die roll or less result will occur in all possible outcomes. 
   N-%. The percentage chance of this die roll result or less occurring. Calculated as N- / Outcomes. 
   N+ (N plus). The number of times this die roll result or more will occur in all possible outcomes. 
   N+%. The percentage chance of this die roll result or more occurring. Calculated as N+ / Outcomes. 
  
   
  Dice 
   The Dice Charts reflect the statistical details of dice rolls. Using these 
  charts, any player or referee can understand the probability that any 
  specific dice roll will succeed. 
  Dice-3 
   
  1�
  Dice-3 
  1�
   
  7D SEVEN DICE (6^7 = 279,936 outcomes; 7 - 42) 
  Roll 
  N 
  N% 
  N - 
  N -% 
  N+ 
  N+% 
   
  0 
  0 
  <1% 
  0 
  no 
  279936 
  100% 
   
  1 
  0 
  <1% 
  0 
  no 
  279936 
  100% 
   
  2 
  0 
  <1% 
  0 
  no 
  279936 
  100% 
   
  3 
  0 
  <1% 
  0 
  no 
  279936 
  100% 
   
  4 
  0 
  <1% 
  0 
  no 
  279936 
  100% 
   
  5 
  0 
  <1% 
  0 
  no 
  279936 
  100% 
   
  6 
  0 
  <1% 
  0 
  no 
  279936 
  100% 
   
  7 
  1 
  <1% 
  1 
  <1% 
  279936 
  100% 
   
  8 
  7 
  <1% 
  8 
  <1% 
  279935 
  >99% 
   
  9 
  28 
  <1% 
  36 
  <1% 
  279928 
  >99% 
   10 
  84 
  <1% 
  120 
  <1% 
  279900 
  >99% 
   11 
  210 
  <1% 
  330 
  <1% 
  279816 
  >99% 
   12 
  462 
  <1% 
  792 
  <1% 
  279606 
  >99% 
   13 
  917 
  <1% 
  1709 
  <1% 
  279144 
  >99% 
   14 
  1667 
  <1% 
  3376 
  1% 
  278227 
  >99% 
   15 
  2807 
  1% 
  6183 
  2% 
  276560 
  99% 
   16 
  4417 
  2% 
  10600 
  4% 
  273753 
  98% 
   17 
  6538 
  2% 
  17138 
  6% 
  269336 
  96% 
   18 
  9142 
  3% 
  26280 
  9% 
  262798 
  94% 
   19 
  12117 
  4% 
  38397 
  14% 
  253656 
  91% 
   20 
  15267 
  5% 
  53664 
  19% 
  241539 
  86% 
   21 
  18327 
  7% 
  71991 
  26% 
  226272 
  81% 
   22 
  20993 
  7% 
  92984 
  33% 
  207945 
  74% 
   23 
  22967 
  8% 
  115951 
  41% 
  186952 
  67% 
   24 
  24017 
  9% 
  139968 
  50% 
  163985 
  59% 
   25 
  24017 
  9% 
  163985 
  59% 
  139968 
  50% 
   26 
  22967 
  8% 
  186952 
  67% 
  115951 
  41% 
   27 
  20993 
  7% 
  207945 
  74% 
  92984 
  33% 
   28 
  18327 
  7% 
  226272 
  81% 
  71991 
  26% 
   29 
  15267 
  5% 
  241539 
  86% 
  53664 
  19% 
   30 
  12117 
  4% 
  253656 
  91% 
  38397 
  14% 
   31 
  9142 
  3% 
  262798 
  94% 
  26280 
  9% 
   32 
  6538 
  2% 
  269336 
  96% 
  17138 
  6% 
   33 
  4417 
  2% 
  273753 
  98% 
  10600 
  4% 
   34 
  2807 
  1% 
  276560 
  99% 
  6183 
  2% 
   35 
  1667 
  <1% 
  278227 >99% 
  3376 
  1% 
   36 
  917 
  <1% 
  279144 >99% 
  1709 
  <1% 
   37 
  462 
  <1% 
  279606 >99% 
  792 
  <1% 
   38 
  210 
  <1% 
  279816 >99% 
  330 
  <1% 
   39 
  84 
  <1% 
  279900 >99% 
  120 
  <1% 
   40 
  28 
  <1% 
  279928 >99% 
  36 
  <1% 
   41 
  7 
  <1% 
  279935 >99% 
  8 
  <1% 
   42 
  1 
  <1% 
  279936 100% 
  1 
  <1% 
   43 
  0 
  no 
  279936 100% 
  0 
  no 
   44 
  0 
  no 
  279936 100% 
  0 
  no 
   45 
  0 
  no 
  279936 100% 
  0 
  no 
   46 
  0 
  no 
  279936 100% 
  0 
  no 
   47 
  0 
  no 
  279936 100% 
  0 
  no 
   48 
  0 
  no 
  279936 100% 
  0 
  no 
   49 
  0 
  no 
  279936 100% 
  0 
  no 
   There are 279,936 possible outcomes ranging from 7 to 
  42. The most probable roll is 24 or 25 (equally at 9% each).
  8D EIGHT DICE (6^8 = 1,679,616 outcomes; 8 - 48) 
  Roll 
  N 
  N% 
  N - 
  N -% 
  N+ 
  N+% 
   
  0 
  0 
  no 
  0 
  no 
  1679616 100% 
   
  1 
  0 
  no 
  0 
  no 
  1679616 100% 
   
  2 
  0 
  no 
  0 
  no 
  1679616 100% 
   
  3 
  0 
  no 
  0 
  no 
  1679616 100% 
   
  4 
  0 
  no 
  0 
  no 
  1679616 100% 
   
  5 
  0 
  no 
  0 
  no 
  1679616 100% 
   
  6 
  0 
  no 
  0 
  no 
  1679616 100% 
   
  7 
  0 
  no 
  0 
  no 
  1679616 100% 
   
  8 
  1 
  <1% 
  1 
  <1% 
  1679616 100% 
   
  9 
  8 
  <1% 
  9 
  <1% 
  1679615 >99% 
   10 
  36 
  <1% 
  45 
  <1% 
  1679607 >99% 
   11 
  120 
  <1% 
  165 
  <1% 
  1679571 >99% 
   12 
  330 
  <1% 
  495 
  <1% 
  1679451 >99% 
   13 
  792 
  <1% 
  1287 
  <1% 
  1679121 >99% 
   14 
  1708 
  <1% 
  2995 
  <1% 
  1678329 >99% 
   15 
  3368 
  <1% 
  6363 
  <1% 
  1676621 >99% 
   16 
  6147 
  <1% 
  12510 
  <1% 
  1673253 >99% 
   17 
  10480 
  1% 
  22990 
  1% 
  1667106 >99% 
   18 
  16808 
  1% 
  39798 
  2% 
  1656626 
  99% 
   19 
  25488 
  2% 
  65286 
  4% 
  1639818 
  98% 
   20 
  36688 
  2% 
  101974 
  6% 
  1614330 
  96% 
   21 
  50288 
  3% 
  152262 
  9% 
  1577642 
  94% 
   22 
  65808 
  4% 
  218070 
  13% 
  1527354 
  91% 
   23 
  82384 
  5% 
  300454 
  18% 
  1461546 
  87% 
   24 
  98813 
  6% 
  399267 
  24% 
  1379162 
  82% 
   25 113688 
  7% 
  512955 
  31% 
  1280349 
  76% 
   26 125588 
  7% 
  638543 
  38% 
  1166661 
  69% 
   27 133288 
  8% 
  771831 
  46% 
  1041073 
  62% 
   28 135954 
  8% 
  907785 
  54% 
  907785 
  54% 
   29 133288 
  8% 1041073 
  62% 
  771831 
  46% 
   30 125588 
  7% 1166661 
  69% 
  638543 
  38% 
   31 113688 
  7% 1280349 
  76% 
  512955 
  31% 
   32 
  98813 
  6% 1379162 
  82% 
  399267 
  24% 
   33 
  82384 
  5% 1461546 
  87% 
  300454 
  18% 
   34 
  65808 
  4% 1527354 
  91% 
  218070 
  13% 
   35 
  50288 
  3% 1577642 
  94% 
  152262 
  9% 
   36 
  36688 
  2% 1614330 
  96% 
  101974 
  6% 
   37 
  25488 
  2% 1639818 
  98% 
  65286 
  4% 
   38 
  16808 
  1% 1656626 
  99% 
  39798 
  2% 
   39 
  10480 
  <1% 1667106 >99% 
  22990 
  1% 
   40 
  6147 
  <1% 1673253 >99% 
  12510 
  <1% 
   41 
  3368 
  <1% 1676621 >99% 
  6363 
  <1% 
   42 
  1708 
  <1% 1678329 >99% 
  2995 
  <1% 
   43 
  792 
  <1% 1679121 >99% 
  1287 
  <1% 
   44 
  330 
  <1% 1679451 >99% 
  495 
  <1% 
   45 
  120 
  <1% 1679571 >99% 
  165 
  <1% 
   46 
  36 
  <1% 1679607 >99% 
  45 
  <1% 
   47 
  8 
  <1% 1679615 >99% 
  9 
  <1% 
   48 
  1 
  <1% 1679616 100% 
  1 
  <1% 
   49 
  0 
  <1% 1679616 100% 
  0 
  no 
   There are 1,679,616 possible outcomes ranging from 8 to 
  48. The most probable roll is 28 (8%). 
   
   
   
  
   
  Dice 
   The Dice Charts reflect the statistical details of dice rolls. Using these 
  charts, any player or referee can understand the probability that any 
  specific dice roll will succeed. 
  Dice-4 
   
  1�
  Dice-4 
  1�
   
  9D NINE DICE (6^9 = 10,077,696; range 9 - 56) 
  Roll 
  N 
  N% 
  N - 
  N -% 
  N+ 
  N+% 
   
  8 
  0 no 
  0 
  no 
  10077696 
  100% 
   
  9 
  1 no 
  1 
  no 
  10077696 
  100% 
   10 
  9 no 
  10 
  no 
  10077695 
  100% 
   11 
  45 no 
  55 
  no 
  10077686 
  100% 
   12 
  165 no 
  220 
  no 
  10077641 
  100% 
   13 
  495 no 
  715 
  no 
  10077476 
  100% 
   14 
  1287 no 
  2002 
  no 
  10076981 
  100% 
   15 
  2994 no 
  4996 
  no 
  10075694 
  100% 
   16 
  6354 no 
  11350 
  no 
  10072700 
  100% 
   17 
  12465 no 
  23815 
  no 
  10066346 
  100% 
   18 
  22825 no 
  46640 
  no 
  10053881 
  100% 
   19 
  39303 no 
  85943 
  1% 10031056 
  100% 
   20 
  63999 
  1% 
  149942 
  1% 
  9991753 
  99% 
   21 
  98979 
  1% 
  248921 
  2% 
  9927754 
  99% 
   22 145899 
  1% 
  394820 
  4% 
  9828775 
  98% 
   23 205560 
  2% 
  600380 
  6% 
  9682876 
  96% 
   24 277464 
  3% 
  877844 
  9% 
  9477316 
  94% 
   25 359469 
  4% 1237313 
  12% 
  9199852 
  91% 
   26 447669 
  4% 1684982 
  17% 
  8840383 
  88% 
   27 536569 
  5% 2221551 
  22% 
  8392714 
  83% 
   28 619569 
  6% 2841120 
  28% 
  7856145 
  78% 
   29 689715 
  7% 3530835 
  35% 
  7236576 
  72% 
   30 740619 
  7% 4271454 
  42% 
  6546861 
  65% 
   31 767394 
  8% 5038848 
  50% 
  5806242 
  58% 
   32 767394 
  8% 5806242 
  58% 
  5038848 
  50% 
   33 740619 
  7% 6546861 
  65% 
  4271454 
  42% 
   34 689715 
  7% 7236576 
  72% 
  3530835 
  35% 
   35 619569 
  6% 7856145 
  78% 
  2841120 
  28% 
   36 536569 
  5% 8392714 
  83% 
  2221551 
  22% 
   37 447669 
  4% 8840383 
  88% 
  1684982 
  17% 
   38 359469 
  4% 9199852 
  91% 
  1237313 
  12% 
   39 277464 
  3% 9477316 
  94% 
  877844 
  9% 
   40 205560 
  2% 9682876 
  96% 
  600380 
  6% 
   41 145899 
  1% 9828775 
  98% 
  394820 
  4% 
   42 
  98979 
  1% 9927754 
  99% 
  248921 
  2% 
   43 
  63999 
  1% 9991753 
  99% 
  149942 
  1% 
   44 
  39303 no 10031056 
  100% 
  85943 
  1% 
   45 
  22825 no 10053881 
  100% 
  46640 
  no 
   46 
  12465 no 10066346 
  100% 
  23815 
  no 
   47 
  6354 no 10072700 
  100% 
  11350 
  no 
   48 
  2994 no 10075694 
  100% 
  4996 
  no 
   49 
  1287 no 10076981 
  100% 
  2002 
  no 
   50 
  495 no 10077476 
  100% 
  715 
  no 
   51 
  165 no 10077641 
  100% 
  220 
  no 
   52 
  45 no 10077686 
  100% 
  55 
  no 
   53 
  9 no 10077695 
  100% 
  10 
  no 
   54 
  1 no 10077696 
  100% 
  1 
  no 
   55 
  0 no 10077696 
  100% 
  0 
  no 
   There are 10,077,696 possible outcomes ranging from 9 to 
  54. The most probable roll is 31 or 32 (equally probable at 
  8% each). 
   
   
   
   
  10D TEN DICE (6^10 = 60,466,176; range 10 – 60) 
  Roll 
  N 
  N% 
  N - 
  N -% 
  N+ 
  N+% 
   
  9 
  0 no 
  0 
  no 
  60466176 
  100% 
   10 
  1 no 
  1 
  no 
  60466176 
  100% 
   11 
  10 no 
  11 
  no 
  60466175 
  100% 
   12 
  55 no 
  66 
  no 
  60466165 
  100% 
   13 
  220 no 
  286 
  no 
  60466110 
  100% 
   14 
  715 no 
  1001 
  no 
  60465890 
  100% 
   15 
  2002 no 
  3003 
  no 
  60465175 
  100% 
   16 
  4995 no 
  7998 
  no 
  60463173 
  100% 
   17 
  11340 no 
  19338 
  no 
  60458178 
  100% 
   18 
  23760 no 
  43098 
  no 
  60446838 
  100% 
   19 
  46420 no 
  89518 
  no 
  60423078 
  100% 
   20 
  85228 no 
  174746 
  no 
  60376658 
  100% 
   21 
  147940 no 
  322686 
  1% 60291430 
  100% 
   22 
  243925 no 
  566611 
  1% 60143490 
  99% 
   23 
  383470 
  1% 
  950081 
  2% 59899565 
  99% 
   24 
  576565 
  1% 
  1526646 
  3% 59516095 
  98% 
   25 
  831204 
  1% 
  2357850 
  4% 58939530 
  97% 
   26 1151370 
  2% 
  3509220 
  6% 58108326 
  96% 
   27 1535040 
  3% 
  5044260 
  8% 56956956 
  94% 
   28 1972630 
  3% 
  7016890 
  12% 55421916 
  92% 
   29 2446300 
  4% 
  9463190 
  16% 53449286 
  88% 
   30 2930455 
  5% 12393645 
  20% 51002986 
  84% 
   31 3393610 
  6% 15787255 
  26% 48072531 
  80% 
   32 3801535 
  6% 19588790 
  32% 44678921 
  74% 
   33 4121260 
  7% 23710050 
  39% 40877386 
  68% 
   34 4325310 
  7% 28035360 
  46% 36756126 
  61% 
   35 4395456 
  7% 32430816 
  54% 32430816 
  54% 
   36 4325310 
  7% 36756126 
  61% 28035360 
  46% 
   37 4121260 
  7% 40877386 
  68% 23710050 
  39% 
   38 3801535 
  6% 44678921 
  74% 19588790 
  32% 
   39 3393610 
  6% 48072531 
  80% 15787255 
  26% 
   40 2930455 
  5% 51002986 
  84% 12393645 
  20% 
   41 2446300 
  4% 53449286 
  88% 
  9463190 
  16% 
   42 1972630 
  3% 55421916 
  92% 
  7016890 
  12% 
   43 1535040 
  3% 56956956 
  94% 
  5044260 
  8% 
   44 1151370 
  2% 58108326 
  96% 
  3509220 
  6% 
   45 
  831204 
  1% 58939530 
  97% 
  2357850 
  4% 
   46 
  576565 
  1% 59516095 
  98% 
  1526646 
  3% 
   47 
  383470 
  1% 59899565 
  99% 
  950081 
  2% 
   48 
  243925 no 
  60143490 
  99% 
  566611 
  1% 
   49 
  147940 no 
  60291430 100% 
  322686 
  1% 
   50 
  85228 no 
  60376658 100% 
  174746 
  no 
   51 
  46420 no 
  60423078 100% 
  89518 
  no 
   52 
  23760 no 
  60446838 100% 
  43098 
  no 
   53 
  11340 no 
  60458178 100% 
  19338 
  no 
   54 
  4995 no 
  60463173 100% 
  7998 
  no 
   55 
  2002 no 
  60465175 100% 
  3003 
  no 
   56 
  715 no 
  60465890 100% 
  1001 
  no 
   57 
  220 no 
  60466110 100% 
  286 
  no 
   58 
  55 no 
  60466165 100% 
  66 
  no 
   59 
  10 no 
  60466175 100% 
  11 
  no 
   60 
  1 no 
  60466176 100% 
  1 
  no 
   61 
  0 no 
  60466176 100% 
  0 
  no
   
  There are 60,466,176 possible outcomes ranging from 
  10 to 60. The most probable roll is 35 (7%)..
  
   
  Dice 
   The Dice Charts reflect the statistical details of dice rolls. Using these 
  charts, any player or referee can understand the probability that any 
  specific dice roll will succeed. 
  Dice-5 
   
  1�
  Dice-5 
  1�
   
  C+S ONE THROUGH EIGHT DICE 
  Hasty 
  - 
  - 
  EAS 
  AVE 
  DIF 
  FOR 
  STA 
  HOP 
  IMP 
  Cautious EAS 
  AVE 
  DIF 
  FOR 
  STA 
  HOP 
  IMP 
  BEY 
  - 
  Task 
  - 
  EAS 
  AVE 
  DIF 
  FOR 
  STA 
  HOP 
  IMP 
  BEY 
   C+S 
  0D 
  1D 
  2D 
  3D 
  4D 
  5D 
  6D 
  7D 
  8D 
   
  0 
  100% 
  no 
  no 
  no 
  no 
  no 
  no 
  no 
  no 
   
  1 
  100% 
  17% 
  no 
  no 
  no 
  no 
  no 
  no 
  no 
   
  2 
  100% 
  33% 
  3% 
  no 
  no 
  no 
  no 
  no 
  no 
   
  3 
  100% 
  50% 
  8% 
  <1% 
  no 
  no 
  no 
  no 
  no 
   
  4 
  100% 
  67% 
  17% 
  2% 
  <1% 
  no 
  no 
  no 
  no 
   
  5 
  100% 
  83% 
  28% 
  5% 
  <1% 
  <1% 
  no 
  no 
  no 
   
  6 
  100% 
  100% 
  42% 
  9% 
  1% 
  <1% 
  <1% 
  no 
  no 
   
  7 
  100% 
  100% 
  58% 
  16% 
  3% 
  <1% 
  <1% 
  <1% 
  no 
   
  8 
  100% 
  100% 
  72% 
  26% 
  5% 
  <1% 
  <1% 
  <1% 
  <1% 
   
  9 
  100% 
  100% 
  83% 
  38% 
  10% 
  2% 
  <1% 
  <1% 
  <1% 
   10 
  100% 
  100% 
  92% 
  50% 
  16% 
  3% 
  <1% 
  <1% 
  <1% 
   11 
  100% 
  100% 
  97% 
  63% 
  24% 
  6% 
  <1% 
  <1% 
  <1% 
   12 
  100% 
  100% 
  100% 
  74% 
  34% 
  10% 
  2% 
  <1% 
  <1% 
   13 
  100% 
  100% 
  100% 
  84% 
  44% 
  15% 
  4% 
  <1% 
  <1% 
   14 
  100% 
  100% 
  100% 
  91% 
  56% 
  22% 
  6% 
  1% 
  <1% 
   15 
  100% 
  100% 
  100% 
  95% 
  66% 
  31% 
  10% 
  2% 
  <1% 
   16 
  100% 
  100% 
  100% 
  98% 
  76% 
  40% 
  14% 
  4% 
  <1% 
   17 
  100% 
  100% 
  100% 
  >99% 
  84% 
  50% 
  21% 
  6% 
  1% 
   18 
  100% 
  100% 
  100% 
  100% 
  90% 
  60% 
  28% 
  9% 
  2% 
   19 
  100% 
  100% 
  100% 
  100% 
  95% 
  69% 
  36% 
  14% 
  4% 
   20 
  100% 
  100% 
  100% 
  100% 
  97% 
  78% 
  45% 
  19% 
  6% 
   21 
  100% 
  100% 
  100% 
  100% 
  99% 
  85% 
  55% 
  26% 
  9% 
   22 
  100% 
  100% 
  100% 
  100% 
  >99% 
  90% 
  64% 
  33% 
  13% 
   23 
  100% 
  100% 
  100% 
  100% 
  >99% 
  94% 
  72% 
  41% 
  18% 
   24 
  100% 
  100% 
  100% 
  100% 
  100% 
  97% 
  79% 
  50% 
  24% 
   25 
  100% 
  100% 
  100% 
  100% 
  100% 
  98% 
  86% 
  59% 
  31% 
   26 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  90% 
  67% 
  38% 
   27 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  94% 
  74% 
  46% 
   28 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  96% 
  81% 
  54% 
   29 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  98% 
  86% 
  62% 
   30 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  91% 
  69% 
   31 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  94% 
  76% 
   32 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  96% 
  82% 
   33 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  98% 
  87% 
   34 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  99% 
  91% 
   35 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  >99% 
  94% 
   36 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  96% 
   37 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  98% 
   38 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  99% 
   39 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  >99% 
   40 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  >99% 
   41 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
  >99% 
   42 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
   43 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
   44 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
   45 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
   46 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
   47 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  >99% 
   48 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  100% 
  Default 
  - 
  - 
  EAS 
  AVE 
  DIF 
  FOR 
  STA 
  HOP 
  IMP 
   
  Hasty 
  - 
  - 
  - 
  EAS 
  AVE 
  DIF 
  FOR 
  STA 
  HOP 
  Cautious - 
  EAS 
  AVE 
  DIF 
  FOR 
  STA 
  HOP 
  IMP 
  BEY 
  READING THE C+S CHART 
   This table shows the chance 
  of rolling less than the number 
  C+S (Skill + Characteristic). 
   For example, if (in resolving a 
  3D Difficult task), the skill level 
  is 4 and the characteristic is 7, 
  then C+S = 11. The chance of 
  rolling 11 or less on 3D is 63%. 
   100%: The result is automatic 
  or 100% probable. 
   No: The result is not possible; 
  zero percent probability. 
   <1%. The result has a 
  probability of less than 1%. 
  There is less than one chance in 
  100 that this result will occur. 
   >99%. The result has a 
  probability of greater than 99%. 
  There is less than one chance in 
  100 that this result will not 
  occur. 
   
   
   
   
   
   
   
   
   
   
   
   
  DIFFICULTY HEADERS 
   Abbrev Description 
   
  EAS Easy 
   
  AVE Average 
   
  DIF Difficult 
   
  FOR Formidable 
   
  STA Staggering 
   
  HOP Hopeless 
   
  IMP Impossible 
   
  BEY Beyond Impossible 
   
   The columns on the C+S 
  Chart are labeled with the 
  typical difficulty for tasks. 
   For example, the standard for 
  an AVE Average Task is 2D. A 
  Hasty AVE Average Task is one 
  level of difficulty more difficult, 
  which is 3D; a Cautious AVE 
  Average Task is one level of 
  difficulty easier, which is 1D. 
  The headings on the C+S Chart 
  reflect these considerations. 
  
SOURCE: textdata/thevault/Traveller/09 - Traveller5/Traveller5/T5 Underlying PDFs/T5=0124 Chart-1 Dice.pdf