1) I am using sage 3.2.3, which was current when I installed it in January. It was convenient for me to compile it from scratch, but it then takes a long time to install.
2) Here is my sage code. The program estimates the probability of ever getting a 6-way tie if you repeatedly roll a die and count the number of times that you get each result. n = 100 s = 0. for k in xrange(1,n+1): t = float(factorial(6*k)/factorial(k)^6/6^(6*k)) s += t print k,s,float(t),t*float(k)^(2.5) c = sqrt(6.)*float(2*pi)^(-2.5) print "Limit by Stirling's approx:",c tu = 2*c/3.*float(n)^(-1.5) print "Tail upper bound:",tu s += tu print "Total upper bound:",s print "Estimate for chance ever:",s/(1.+s) --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---