Can someone help me out with dice probabilities? Math isn’t my strong point.
I’m trying to figure out how much a range band shift is worth. In other words, if a move shifts a result up one level (turning a 7-9 into a 10+ for example), what value would you have to add to the 2d6 roll to get a similar result?
With no bonus (roll+0), it looks like a player has a 58% chance of getting a 7+, a 16% chance of getting a 10+, and a 3% chance of getting a 12+. With a +3 bonus (roll+3), they have a 97% chance of getting a 7+, a 58% chance of getting a 10+, and a 27% chance of getting a 12+.
So if roll+0 has a 58% chance of getting a 7+ and roll+3 also has a 58% chance of getting a 10+, does that mean a range band shift is roughly worth a +3 bonus? Or is my math wrong?
You’re right, and the numbers are very close to accurate; the margin of error in this 3-row-jump is only +/- 1% in the worst cases:
http://www.story-games.com/forums/discussion/comment/432083#Comment_432083
Yeah, basically the same as a +3.
Thanks guys. 🙂
+3 is gigantic. Band shifts are gigantic too. 🙂
When I first skimmed this post I thought you were talking about range bands on weapons getting shifted as the benefit from a move. No idea why, but now you’ve got me thinkin.
“Range bands” probably wasn’t the best thing to call them, but I was drawing a blank. 😛
Most AW-based games cap stats at +3 since it’s such a massive boost. Seeing as how bumping the dice results up a tier (?) is very close to a +3 bonus, I’m realizing how powerful that is.
Result bands! 🙂
That works. 🙂
“Uncertainty Forces have been under steady attack this week by roving Result Bands, which have been spotted in ever-increasing numbers. Now, holed up in the cliffs above Eigenstate Pass, the UF valiantly continues in their attempts to do nothing decisive.”
So, anyone know how to calculate probabilities for a d6+d8?
Get thee to Anydice.com
Finally got that thing to work. It was making me feel like an idiot. 😛
Interesting. Rolling 2d6+1 has a slightly higher chance of getting a 7-9 result than a d6+d8 does (72% vs. 69%). But rolling d6+d8 has a slightly higher chance of getting a 10+ than 2d6+1 (31% vs. 28%). So you’re slightly better at being awesome, but slightly worse at being just OK. Weird.
Averages are the same but the minimum and maximum differ. No shock. 🙂
Not to someone who’s OK at math, perhaps. But there’s a reason I majored in graphic design. 😉
I majored in English. 🙂