Example I throw three dice. What is the probability of getting at least 2 equal numbers? function TruthValue() { with(Math) { U1 = floor(random()*6+1); U2 = floor(random()*6+1); U3 = floor(random()*6+1); V=0; if (U1==U2) { V = 1}; if (U1==U3) { V = 1}; if (U2==U3) { V = 1}; }} I have (with "n+": 10000, 10000, 20000, 40000, ...): n=10240000 44.443642578125% +/- 0.046584667751577526% n=5120000 44.41736328125% +/- 0.06587676682454288% n=2560000 44.437421875% +/- 0.09316804416641197% n=1280000 44.4278125% +/- 0.13175668240289726% n=640000 44.41859375% +/- 0.18632827992836345% n=320000 44.4684375% +/- 0.2635377451554643% n=160000 44.32375% +/- 0.37257684179693506% n=80000 44.25125% +/- 0.5268164338326546% n=40000 44.0025% +/- 0.7445942580419068% n=20000 44.125% +/- 1.0533391879742468% n=10000 44.23% +/- 1.4900531587301118% I get an estimate of the probability, which can help me to check the possible solution found theoretically (in this case I know how to find it: it is 0.444 ... = 1-5/6*4/6 = 4/9 - why?) |