Calculating the probability of getting a double dice to move peg to any particular point after where it is in game of backgammon.

backgammon_prob.jl

function backgammon_prob()
   location_hits=zeros(Int,24)
   for i=1:6, j=1:6
       if(i!=j) # to avoid double counting doubles 
           location_hits[i]+=1
           location_hits[j]+=1
       else
           location_hits[j]+=1
       end
       location_hits[i+j]+=1
       if i==j
           location_hits[3*i]+=1
           location_hits[4*i]+=1
       end
   end
   return location_hits//36
end


#Now for the plotting 
using PyPlot
probs=backgammon_prob()
ax=subplot(1,1,1);
bar(1:24,probs,align="center")
tickLocations=[0.0:0.05:0.5...];
tickText=["$(iround(i*100))\%" for i in tickLocations]
ax[:set_yticks](tickLocations)
ax[:set_yticklabels](tickText)
xticks(1:24)
xlabel("Location of Dice Throw")
ylabel("Probability")