**Chinese Fortune Casting Example Demo**

This page is under development. Comments are welcome, but please load any comments in the comments section at the middle of the page. Thanks, [gold]

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Here is some starter code for
Chinese Fortune Casting Example Demo.
The impetus for this calculator was checking
some iching probabilities on the 
chinese bronze  example.
Its easy enough to plug in  
formulas/subroutines into the chinese bronze  example.
Most of the checked testcases involve flipping
two sided objects like coins or popsicle sticks.

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In planning any software, it is advisable
to gather a number of testcases
to check the results of the program. 
    

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Extra Credit

For a system of one die with kk sides 
of the number N tosses, the sample size would be:
 set aa [ expr { ($kk**$N)} ]   
For example, a 6 sided die with 2 tosses
would have a sample size of 6**2 or 36.
 set aa [ expr { ( 6**2 )} ] 
The probability of two dice having the same face
like snake eyes (1:1) on one throw 
is 1/(sample size) or 1/36. 
 set pp [ expr { 1./(6**2) } ]

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The following sums the numbers on two faces.
For 2 dice of 6 sides, the probability of
a number 7 coming up is 0.1666
In pseudocode statements, the probability
of two dice landing with sum 7 would be the
number of combinations that add up to seven
over the number of 
all possible combinations from throwing 2 dice.
Such a $list can generated in the auxillary 
TCL script at the bottom of page. 
   prob. pseudocode   = nom ($list) / denom ( $list) 
   prob. pseudocode
   = llength [lsearch -all $list 7 ] / [llength $list ]
   prob. pseudocode
   = [llength [lsearch -all $list 7 ]] / [llength $list ]
This would find our probability
of throw 7 on a one time basis.
For the calculator, this process
could be generalized
into a subroutine that generated
a list for 2 to N sides: list(N),
an expected dice throw as $facenumber, 
counted the number of throws 
showing $facenumber in list(N),
and counted all the elements in the list(N). 
  prob. pseudocode   = 
  [llength [lsearch -all $list(N) $facenumber ]] / [llength $list(N) ]
Also, another foreach loop in the 
list generator could probably 
generate the possible
throws of three dice.
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**Screenshots Section**

  
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**Comments Section**
Please place any comments here, Thanks.

[gold] Changes.

 
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**References**

   * [factorial]
   * [Slot_Calculator_Demo]
   * http://www.knowyourluck.com/coins3u.html (currently 404)
   * http://www.learning.com/pdfs/et/activity-35-cointoss.pdf
   * http://stattrek.com/Tables/Binomial.aspx Binomial Distribution Calculator
   * [Sample Math Programs] modified [PSE} operation tables to generate throw do-loops
   * http://hyperphysics.phy-astr.gsu.edu/hbase/math/dice.html Statistics of Dice Throw 
   * http://wizardofodds.com/gambling/dice.html Dice Probability basics
   * http://www.cobalt.chem.ucalgary.ca/ziegler/educmat/chm386/rudiment/mathbas/probab.htm Probability
   * http://gwydir.demon.co.uk/jo/probability/calcinfo.htm Calculating probabilities of throwing two dice


 The Math Forum,Date: 05/16/99 at 16:24:04
 From: Doctor Anthony
 Subject: Re: Probability dealing with combinations of dice

 The Math Forum,Date: 12/05/2001 at 00:36:56
 From: Doctor Jeremiah
 Subject: Re: Probability of dicehttp://wiki.tcl.tk/13243

Throwing Two Dice

   * [throw a dice]
   * [Dice]

Google Answers Probability of Coin Flip.mht
 
2 Dice Rolls Probability-Statistics - Separate.mht
http://mathforum.org/library/drmath/view/56627.html

**appendix TCL programs**

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  ***FIRST VERSION*** 

      #start of deck
       #start of deck  
     #start of deck
       #start of deck
      #start of deck
    #end of deck
    #end of deck
      #end of deck
      #end of deck      
      #end of deck
    #end of deck
======
 
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