tag:blogger.com,1999:blog-1958522416503442248.post5296364844666021962..comments2024-03-28T01:02:01.844-06:00Comments on Coins and Scrolls: OSR: Class: Geometer WizardSkerpleshttp://www.blogger.com/profile/06393779599461560431noreply@blogger.comBlogger8125tag:blogger.com,1999:blog-1958522416503442248.post-58541274494316982082022-10-12T15:35:21.956-06:002022-10-12T15:35:21.956-06:00Oh. Of course. Stupid proofs, being not obvious un...Oh. Of course. Stupid proofs, being not obvious until you think of them. :DSkerpleshttps://www.blogger.com/profile/06393779599461560431noreply@blogger.comtag:blogger.com,1999:blog-1958522416503442248.post-41757444586678754572022-10-10T11:01:26.221-06:002022-10-10T11:01:26.221-06:00Thinking about this again, I did manage to come up...Thinking about this again, I did manage to come up with a proof.<br /><br />If you're rolling N+1 dice, then the sum of the first N can either be even, or odd. If the sum is even, then the last die has a 50/50 chance of being even (final total: even) or odd (final total: odd). If the sum of the first N is odd, then same thing reversed: 50/50 chance of being even (final total: odd) or odd (final total: even).<br /><br />So yeah, for even/odd doesn't matter what any die but the last rolls, because the last die always has a 50/50 chance to make it become even or odd.Warclamhttps://www.blogger.com/profile/12988345125040069046noreply@blogger.comtag:blogger.com,1999:blog-1958522416503442248.post-91862071389722335082019-11-06T10:04:10.050-07:002019-11-06T10:04:10.050-07:00Err, I'm not quite sure how that affects the p...Err, I'm not quite sure how that affects the probability of the sum of [n]d6s. Sure, each new d6 adds 3 odd and 3 even numbers, but the number of odd or even [i]sums[/i] varies: <br />-d6 [3 odd, 3 even]<br />-2d6 [5 odd, 6 even]<br />-3d6 [8 odd, 8 even]<br />-4d6 [11 odd, 12 even]<br />etc.<br />So yes, while I get that the probability of rolling an odd or even result on 1 die is the same so adding them together doesn't actually change anything, it still feels weird that the probabilities for 2d6, despite being centered around 7, still add up.Skerpleshttps://www.blogger.com/profile/06393779599461560431noreply@blogger.comtag:blogger.com,1999:blog-1958522416503442248.post-66250352457458537662019-11-06T01:06:27.782-07:002019-11-06T01:06:27.782-07:00Think about it! A six sided die has three odds and...Think about it! A six sided die has three odds and three evens. No matter how many you add it'll never affect the balance!scarlet-bothttps://www.blogger.com/profile/01129600521465064936noreply@blogger.comtag:blogger.com,1999:blog-1958522416503442248.post-34008445277096721982019-10-10T10:14:07.034-06:002019-10-10T10:14:07.034-06:00Just intuition, I suppose?
I'm sure there'...Just intuition, I suppose?<br />I'm sure there's a truly marvelous proof of this, which this comment box is too narrow to contain.Skerpleshttps://www.blogger.com/profile/06393779599461560431noreply@blogger.comtag:blogger.com,1999:blog-1958522416503442248.post-59895383331930262942019-10-08T11:22:50.277-06:002019-10-08T11:22:50.277-06:00When I saw cantrip 3, I immediately began making s...When I saw cantrip 3, I immediately began making some calculations. And, uh. With an odd number of dice, even/odd is clearly 50/50 because the outcomes are symmetrical. 2d6 and 4d6 both come out to 50/50 on even/odd too, leading me to believe that's also a guarantee that I can't intuit the proof for.<br /><br />That's really neat, I had no idea even and odd sums were equally likely. Where did you learn about that?Warclamhttps://www.blogger.com/profile/12988345125040069046noreply@blogger.comtag:blogger.com,1999:blog-1958522416503442248.post-36396630713686284312019-10-07T23:58:00.399-06:002019-10-07T23:58:00.399-06:00Nah, that'd be too much math.
I wanted to try ...Nah, that'd be too much math.<br />I wanted to try to make a wizard whose 2 highest-level spells aren't great at solving problems but are great at solving mistakes. True Teleport is great, but can only be cast once per day, and requires a bit of setup to avoid exploding people left behind. Resurrection is, effectively, temporary. With a Save of 1, a resurrected person isn't long for this world.Skerpleshttps://www.blogger.com/profile/06393779599461560431noreply@blogger.comtag:blogger.com,1999:blog-1958522416503442248.post-48027227365687061492019-10-07T14:57:29.438-06:002019-10-07T14:57:29.438-06:00Some of these new spells are neat, I especially li...Some of these new spells are neat, I especially like the Sturdy Circle and the Ley Lines.<br /><br />In Moon Lust, shouldn't the last sentence maybe read: "If [sum] is equal to double the target's HD or great"?<br /><br />Could I ask why give this wizard True Teleport and Resurrection? These are really powerful indeed.red_kangaroohttps://www.blogger.com/profile/04557117448147974364noreply@blogger.com