2
\$\begingroup\$

I want to calculate the sum of a mixed dice pool, but add the nth highest value of that pool twice.

For example the code

output 2d4+1@2d4

Gives the sum of 2d4 and the highest value of a separately rolled 2d4. Instead I'd like to add the highest value of the same 2d4.

This does produce different results; in the example above the probability of rolling a total of 3 is 0.39%, while in the situation I'm after the probability should be 6.25%.

Ideally the solution should be able to handle rolling mixed die pools such as 2d10+1d8+1d6+the second highest value rolled, but I would still find solutions that cannot do so useful.

\$\endgroup\$
6
\$\begingroup\$

Functions and casting

In general, if you want to do things with a roll of a pool of dice, you'll want to use a function which takes in a sequence. That function will be evaluated for each possible roll, so your sequence in the function can be treated as a possible roll.

We then just need the highest (which will be first for a generated sequence) and to take its sum. Here nicely (thanks Carcer for reminding me) a sequence is converted to its sum when used as number, so we can just add the two together.

function: doublehighest POOL:s {
  result: 1@POOL + POOL
}

output [doublehighest 2d6]
| improve this answer | |
\$\endgroup\$
  • 2
    \$\begingroup\$ I don't think you need a separate function to sum the sequence - as per the docs, "When mathematical or boolean operations are performed on a sequence, all its values are summed and the sequence behaves as if it were a single number." 1@POOL + POOL should work (and does, if I test it). \$\endgroup\$ – Carcer Apr 23 at 11:52
  • \$\begingroup\$ @Carcer Derp, well that simplifies some things for me \$\endgroup\$ – Someone_Evil Apr 23 at 12:12

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.