Post by Xxsuperheroxx on Feb 16, 2023 9:38:27 GMT -6
As the DM, the tools of your trade are dice - Platonic solid-shaped or just about any other sort. The random numbers you generate by rolling dice determine the results based on the probabilities determined herein or those you have set forth on your own. In case you are not familiar with probability curves, there are the two types which are determined by your dice: linear (straight line, which has equal probability of any given integer in the number group, and bell (ascending and descending line), which has greater probability towards the center of the group of numbers then as either end. The two curves are illustrated thus: Linear probability develops a straight line of ascending probability when used as a cumulative.1-10 or 1-100 Bell distribution, when used to delineate of certain numbers appearing, develops a curve line like this: Bell curve (3d6). A single die, or multiple dice read in succession (such as three dice read as hundreds, tens and decimals) give linear probabilities. Two or more dice added together generate a bell-shaped probability curve.
Before any further discussion takes place, let us define the accepted abbreviations for the various dice. A die is symbolized by "d", and its number of sides is shown immediately thereafter. A six-sided die is there fore "d6", d8 is an eight=sided die, and so on. Two for-sided dice are expressed by 2d4, five eight-sided dice are 5d8, etc. Any additions to or subtractions from the die or dice are expressed after the identification, thus: d8 + 8 means a linear number group between 9 and 16, while 3d6-2 means a bell-shaped progression from 1 to 16, with the greatest probability group in the middle (8, 9). This latter progression has the same median numbers as 2d6, but it has higher and lower ends and greater probability of a median number than if 2d12 were used. When percentage dice are to be used, this is indicated by d%.
The d4 can be used to generate 25% incremental probabilities, random numbers from 1 to 4 with +1 it generates a linear 2-5, etc. It can be used to get 1 or 2 (1 or 2 = 1, 3 or 4 = 2) or in conjunction with any other dice to get linear or bell-shaped probability curves. For example, 2d4 =2-8, 3d4 = 3-12, d4 + d6 = 2-10, d4 + d20 (as d10) = 2-14. When rolled in conjunction with another die, the d4 can be used to determine linear number ranges twice that shown on the other die, thus: d4 reading 1 or 2 means that whatever is read on the other die is the number shown; but if the d4 reads 3 or 4, add the highest number on the second die to the number shown - so if d8 is the second die 1 - 16 can be generated, if a d12 is used 1 - 24 can be generated. If a d20 is used (assuming the use of a standard d20 which is numbered 0-9 twice without coloring one set of faces to indicate that those faces have 10 added to the number appearing) or 1-40 (assuming that one set of faces is colored) can be gotten by adding 0 if 1 or 2 is rolled on the d4 and 10 or 20 (depending on die type) if a 3 or 4 is rolled. Linear series above this are possible simply by varying the meaning of the d4 number; 1 always means add 0, but 2 can be interpreted as add the value (higher number) of the second die, 3 can be twice value, and 4 can be thrice value. Thus, a d4 reading 4 in conjunction with a d8 (linear curve 1-32) would mean 24 + d8, or 25-32.
What applies to d4 has similar application with regard to d6, d8, d12 and d20. The d6 has 16 2/3% intervals, d8 has 12 1/2% intervals, and d20 can have 10% 0r 5% intervals. A d6 is useful for getting a random number from 1 to 3(1-2 = 1, 3-4 = 2, 5-6 = 3) while 1 to 5 can be easily read from a d20 (1-2 = 1, 3-4 = 2, 5-6 = 3, 7-8 = 4, 9-0 = 5).
The d20 is used often both as a d10 and a d20. The bell-shaped probability curve typically range from 2-20 to 5-50. i.e., 2, 3, 4 or 5d20 added together. also common is the reading as above with one decimal place added to the result to get 20-200, 30-300, etc. In the latter case, a roll of 3 on a die and a 0 (read as 10) totals 13, plus, or 130.
Non-platonic solid-shaped dice are available in some places. The most common of these is a ten-sided die numbered 0-9. As with the d20, this can be used for many purposes, even replacing the d20 if a second die is used in conjunction to get 5% interval curves (1-20). Also, the die can give 0-9 linear curve random numbers, as the d20.
Other dice available are various forms of "averaging" dice. The most common of these has six faces which read: 2, 3, 3, 4, 4, 5. the median of the curve it generates is still 3.5, that of a normal d6, but the low and high numbers, 2 and 5, are only half as likely to appear as 3 or 4. There is a 33 1/3% chance for either of the two latter numbers to be rolled, so the probabilities of absolutely average rolls are greater. Other such dice have zeros on them, several low numbers, and so on. These sort of dice along with poker dice, "put&take" dice or any other sort can be added in order to give you more flexibility or changing probabilities in random selection. For Example:
The author has a d6 with a following face: SPADE, CLUB, CLUB, DIAMOND, DIAMOND HEART. if, during an encounter, Players meet a character whose reaction is uncertain, the card suit die is rolled in conjunction with 3d6. Blach suits means dislike, with the SPADE equaling hate, while red equals like, the HEART being great favor. The 3d6 give a bell-shaped probability curve of 3-18, with 9-12 being the mean spread. SPADE 18 means absolute and unchangeable hate, while HEART 18 indicates the opposite. CLUBS or DIAMONDS can be altered by discourse, reward, etc. Thus, CLUBS 12 could possibly be altered to CLUBS 3 by offer of a tribute or favor, CLUBS 3 changes to DIAMONDS 3 by a gift, etc.
In closing this discussion, simply keep in mind that the dice are your tools learn to use them properly, and they will serve you well.
Before any further discussion takes place, let us define the accepted abbreviations for the various dice. A die is symbolized by "d", and its number of sides is shown immediately thereafter. A six-sided die is there fore "d6", d8 is an eight=sided die, and so on. Two for-sided dice are expressed by 2d4, five eight-sided dice are 5d8, etc. Any additions to or subtractions from the die or dice are expressed after the identification, thus: d8 + 8 means a linear number group between 9 and 16, while 3d6-2 means a bell-shaped progression from 1 to 16, with the greatest probability group in the middle (8, 9). This latter progression has the same median numbers as 2d6, but it has higher and lower ends and greater probability of a median number than if 2d12 were used. When percentage dice are to be used, this is indicated by d%.
The d4 can be used to generate 25% incremental probabilities, random numbers from 1 to 4 with +1 it generates a linear 2-5, etc. It can be used to get 1 or 2 (1 or 2 = 1, 3 or 4 = 2) or in conjunction with any other dice to get linear or bell-shaped probability curves. For example, 2d4 =2-8, 3d4 = 3-12, d4 + d6 = 2-10, d4 + d20 (as d10) = 2-14. When rolled in conjunction with another die, the d4 can be used to determine linear number ranges twice that shown on the other die, thus: d4 reading 1 or 2 means that whatever is read on the other die is the number shown; but if the d4 reads 3 or 4, add the highest number on the second die to the number shown - so if d8 is the second die 1 - 16 can be generated, if a d12 is used 1 - 24 can be generated. If a d20 is used (assuming the use of a standard d20 which is numbered 0-9 twice without coloring one set of faces to indicate that those faces have 10 added to the number appearing) or 1-40 (assuming that one set of faces is colored) can be gotten by adding 0 if 1 or 2 is rolled on the d4 and 10 or 20 (depending on die type) if a 3 or 4 is rolled. Linear series above this are possible simply by varying the meaning of the d4 number; 1 always means add 0, but 2 can be interpreted as add the value (higher number) of the second die, 3 can be twice value, and 4 can be thrice value. Thus, a d4 reading 4 in conjunction with a d8 (linear curve 1-32) would mean 24 + d8, or 25-32.
What applies to d4 has similar application with regard to d6, d8, d12 and d20. The d6 has 16 2/3% intervals, d8 has 12 1/2% intervals, and d20 can have 10% 0r 5% intervals. A d6 is useful for getting a random number from 1 to 3(1-2 = 1, 3-4 = 2, 5-6 = 3) while 1 to 5 can be easily read from a d20 (1-2 = 1, 3-4 = 2, 5-6 = 3, 7-8 = 4, 9-0 = 5).
The d20 is used often both as a d10 and a d20. The bell-shaped probability curve typically range from 2-20 to 5-50. i.e., 2, 3, 4 or 5d20 added together. also common is the reading as above with one decimal place added to the result to get 20-200, 30-300, etc. In the latter case, a roll of 3 on a die and a 0 (read as 10) totals 13, plus, or 130.
Non-platonic solid-shaped dice are available in some places. The most common of these is a ten-sided die numbered 0-9. As with the d20, this can be used for many purposes, even replacing the d20 if a second die is used in conjunction to get 5% interval curves (1-20). Also, the die can give 0-9 linear curve random numbers, as the d20.
Other dice available are various forms of "averaging" dice. The most common of these has six faces which read: 2, 3, 3, 4, 4, 5. the median of the curve it generates is still 3.5, that of a normal d6, but the low and high numbers, 2 and 5, are only half as likely to appear as 3 or 4. There is a 33 1/3% chance for either of the two latter numbers to be rolled, so the probabilities of absolutely average rolls are greater. Other such dice have zeros on them, several low numbers, and so on. These sort of dice along with poker dice, "put&take" dice or any other sort can be added in order to give you more flexibility or changing probabilities in random selection. For Example:
The author has a d6 with a following face: SPADE, CLUB, CLUB, DIAMOND, DIAMOND HEART. if, during an encounter, Players meet a character whose reaction is uncertain, the card suit die is rolled in conjunction with 3d6. Blach suits means dislike, with the SPADE equaling hate, while red equals like, the HEART being great favor. The 3d6 give a bell-shaped probability curve of 3-18, with 9-12 being the mean spread. SPADE 18 means absolute and unchangeable hate, while HEART 18 indicates the opposite. CLUBS or DIAMONDS can be altered by discourse, reward, etc. Thus, CLUBS 12 could possibly be altered to CLUBS 3 by offer of a tribute or favor, CLUBS 3 changes to DIAMONDS 3 by a gift, etc.
In closing this discussion, simply keep in mind that the dice are your tools learn to use them properly, and they will serve you well.