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General Tabletop Discussion
*TTRPGs General
Comparing dice mechanics and how they affect flavor and style of gameplay
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<blockquote data-quote="OnlineDM" data-source="post: 5598301" data-attributes="member: 90804"><p>I think this is an interesting topic for a thread, and I love learning about the various dice mechanics that are out there. But the stats nerd in me had to speak up on this one...</p><p></p><p></p><p></p><p>Actually, it's <strong>really </strong>difficult to roll 10 consecutive numbers under 8. Yes, it will happen if you play long enough, but it's exceedingly rare.</p><p></p><p>How rare? Well, it's (7/20)^10 = 0.0028% of the time. So, every 100,000 times you roll a series of 10 d20s, you'll have them all be under 8 only about 3 of those 100,000 times. That's pretty freaking difficult.</p><p></p><p>And if you meant "8 or lower" that's still only (8/20)^10 = 0.0105%, which is once in every 10,000 times. Still very, very uncommon.</p><p></p><p>But the spirit of your points stands: With a flat distribution, you'll randomly get some streaks here and there, more often than you might expect. You'll roll below an 8 three times in a row about 4% of the time, so that's something we've all experienced.</p></blockquote><p></p>
[QUOTE="OnlineDM, post: 5598301, member: 90804"] I think this is an interesting topic for a thread, and I love learning about the various dice mechanics that are out there. But the stats nerd in me had to speak up on this one... Actually, it's [B]really [/B]difficult to roll 10 consecutive numbers under 8. Yes, it will happen if you play long enough, but it's exceedingly rare. How rare? Well, it's (7/20)^10 = 0.0028% of the time. So, every 100,000 times you roll a series of 10 d20s, you'll have them all be under 8 only about 3 of those 100,000 times. That's pretty freaking difficult. And if you meant "8 or lower" that's still only (8/20)^10 = 0.0105%, which is once in every 10,000 times. Still very, very uncommon. But the spirit of your points stands: With a flat distribution, you'll randomly get some streaks here and there, more often than you might expect. You'll roll below an 8 three times in a row about 4% of the time, so that's something we've all experienced. [/QUOTE]
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