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#### Korpacz1

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Wondering what is the probability of passing LD5 with cold blooded (3 dice, take the two lowest).

LD5 on 2 dice is 27.8%. Anyone know the math formula to factor in a 3rd dice, but only taking the two lowest?

#### Rork

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• Korpacz1

#### Korpacz1

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Thanks for pointing that out! rep for you.

You wouldn't happen to know the math behind it would you?

Here's a quick comparison below - @LD5, going from 2D6 to 3D6 Coldblooded, the % chance to make the LD roll increases from 27.8% to 52.3%. Skinks are basically have a 50/50 shot to not panic which is a lot worse than LD6 in the previous edition of the book wihch was a 68.1% not to panic.

 2D6 3D6 Increase Value % ≤ % ≤ % 2 2.8 7.4 4.6 3 8.3 19.9 11.6 4 16.7 35.6 19.0 5 27.8 52.3 24.5 6 41.7 68.1 26.4 7 58.3 80.6 22.2 8 72.2 89.4 17.1 9 83.3 94.9 11.6 10 91.7 98.1 6.5 11 97.2 99.5 2.3 12 100.0 100.0 -

#### CaptainSarathai

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"3D6 keep the Lowest" is similar to "3D6 keep the highest". There's really no set formula for that, as 3D6 would be different from 4D6 or 5D6. It's one of those weird things about probability. Also, the math - written as a formula, is pretty long and not actually forum friendly (because Sigma-Algebra is ugly).

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Here is how I worked it out in a spreadsheet. The first row shows the columns in excel (column E is blank as a space saver btw).

In columns A,B,C you have to write down all the permutations of 3D6 which streatches to 216 rows of data. eg 1,2,3,4,5,6 copied and pasted below each other 36 times, then 111111,222222,333333 etc in column B, then 1(36 times), 2(36 times) etc repeating in column C.

A B C D E F G H
Red D6 Green D6 Blue D6 Total (ignoring highest)
1 1 1 =SUM(A2:C2)-MAX(A2:C2) Leadership Count Probability
2 1 1 =SUM(A3:C3)-MAX(A3:C3) 2 =COUNTIF(\$D\$2:\$D\$217,F3) =SUM(\$G\$3:G3)/216
3 1 1 =SUM(A4:C4)-MAX(A4:C4) 3 =COUNTIF(\$D\$2:\$D\$217,F4) =SUM(\$G\$3:G4)/216
4 1 1 =SUM(A5:C5)-MAX(A5:C5) 4 =COUNTIF(\$D\$2:\$D\$217,F5) =SUM(\$G\$3:G5)/216
5 1 1 =SUM(A6:C6)-MAX(A6:C6) 5 =COUNTIF(\$D\$2:\$D\$217,F6) =SUM(\$G\$3:G6)/216
6 1 1 =SUM(A7:C7)-MAX(A7:C7) 6 =COUNTIF(\$D\$2:\$D\$217,F7) =SUM(\$G\$3:G7)/216
1 2 1 =SUM(A8:C8)-MAX(A8:C8) 7 =COUNTIF(\$D\$2:\$D\$217,F8) =SUM(\$G\$3:G8)/216
2 2 1 =SUM(A9:C9)-MAX(A9:C9) 8 =COUNTIF(\$D\$2:\$D\$217,F9) =SUM(\$G\$3:G9)/216
3 2 1 =SUM(A10:C10)-MAX(A10:C10) 9 =COUNTIF(\$D\$2:\$D\$217,F10) =SUM(\$G\$3:G10)/216
4 2 1 =SUM(A11:C11)-MAX(A11:C11) 10 =COUNTIF(\$D\$2:\$D\$217,F11) =SUM(\$G\$3:G11)/216
5 2 1 =SUM(A12:C12)-MAX(A12:C12) 11 =COUNTIF(\$D\$2:\$D\$217,F12) =SUM(\$G\$3:G12)/216
6 2 1 =SUM(A13:C13)-MAX(A13:C13) 12 =COUNTIF(\$D\$2:\$D\$217,F13) =SUM(\$G\$3:G13)/216
1 3 1 =SUM(A14:C14)-MAX(A14:C14)

The results in column H give the same as in your table from the troll dice roller website.

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Well I tried to paste it in but the columns got shifted a little and those smileys crept in. Still I hope it makes sense.

This paste worked a little better.

#### kekos21global

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Many of you know that mathematics is quite an interesting and unique subject. But it is simply not given to many and schoolchildren, as well as students, sometimes have difficulty coping with it. Now I want to help such people a little and show them a very useful and simple service - online math tutor for kids. In an easy form, you will quickly master the basic knowledge and will be able to continue your studies. I recommend it!

#### Woodieroonie

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Many of you know that mathematics is quite an interesting and unique subject. But it is simply not given to many and schoolchildren, as well as students, sometimes have difficulty coping with it. Now I want to help such people a little and show them a very useful and simple service - online math tutor for kids. In an easy form, you will quickly master the basic knowledge and will be able to continue your studies. I recommend it!
One of the last points was "Implement math games into your classes", these days I've been searching for an online math tutor for my niece to help her in her math and science classes, this point made me realize that maybe she needs a different approach to math help like games (given that she's already taking math classes at school), I signed her up for this math tutor online app because it was a dog (pug) as the logo and in general has a "fun/kid" vibe BUT it's lacking in an engagement "fun" game approach. Is there any math games app you would recommend for grade 7-9?

Thanks!

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