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Design Challenge: prison-playable RPG rules
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<blockquote data-quote="On Puget Sound" data-source="post: 5069230" data-attributes="member: 68988"><p>The "throw 20 2-sided objects and count the heads" systems does not get you a d20 roll. It gets you a pronounced bell curve. The reason is that each of the 20 objects is discrete, even though we are lumping them together to count, so there are more combinations possible for values near the middle of the range. Simplifying to 4 chits rather than 20 for space and brevity, here are all the possible rolls:</p><p>0000=0</p><p>0001=1</p><p>0010=1</p><p>0100=1</p><p>1000=1</p><p>0011=2</p><p>0101=2</p><p>1001=2</p><p>0110=2</p><p>1010=2</p><p>1100=2</p><p>0111=3</p><p>1011=3</p><p>1101=3</p><p>1110=3</p><p>1111=4</p><p>simulating a 16-sided die with one 0, four 1s, six 2s, four 3s and one 4.</p><p>It's still a valid random number generator, but its peculiarities need to be taken into account when designing a system.</p></blockquote><p></p>
[QUOTE="On Puget Sound, post: 5069230, member: 68988"] The "throw 20 2-sided objects and count the heads" systems does not get you a d20 roll. It gets you a pronounced bell curve. The reason is that each of the 20 objects is discrete, even though we are lumping them together to count, so there are more combinations possible for values near the middle of the range. Simplifying to 4 chits rather than 20 for space and brevity, here are all the possible rolls: 0000=0 0001=1 0010=1 0100=1 1000=1 0011=2 0101=2 1001=2 0110=2 1010=2 1100=2 0111=3 1011=3 1101=3 1110=3 1111=4 simulating a 16-sided die with one 0, four 1s, six 2s, four 3s and one 4. It's still a valid random number generator, but its peculiarities need to be taken into account when designing a system. [/QUOTE]
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Design Challenge: prison-playable RPG rules
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