Thx
This is pretty much how I figured the "$splt = 1" case
(although ∑a^k is a / (1 - a) not 1 / (1 - a) as k starts at 1 since $chance=0 causes the return of "zero" value !)
but how can it be implemented to solve for "$splt = 2" ?
Yeah I know "sum over value times odds" but it seems like that approach goes requires some very complicated combinatorial problem solving.
if(you see something I'm missing){please share ^^}

bry: while checking for "$splt=2", I discovered the value of "1" is returned when "$chance" is about 0.35793
for which I can't find any special properties
(maybe that exp(0.35793^0.35793) ~ 2, but not counting on it being the actual exact value ^^)

In reply to Re^2: Average random depth formula required by palkia
in thread Average random depth formula required by palkia

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.