n = 15 Rosinen[br]b = 10 Brötchen[br][list][*][i][i]Verteilen: Rosine Nr j[/i][sub]=1...n[/sub] fällt ins Brötchen Nr BackCharge(j) [/i][br]BackCharge={[color=#ff0000]6[/color], [b][color=#1c4587]10[/color][/b], [u]7[/u], [b][color=#1e84cc]5[/color][/b], [b][color=#1155cc]4[/color][/b], [color=#ff0000]6[/color], [b][color=#1c4587]10[/color][/b], [u]8[/u], [u]2[/u], [b][color=#1e84cc]5[/color][/b], [b][color=#6d9eeb]9[/color][/b], [b][color=#1155cc]4[/color][/b], [color=#ff0000]6[/color], [b][color=#6d9eeb]9[/color][/b], [color=#ff0000]6[/color]}[/*][/list][list][*][i]Auszählen: Brötchen Nr j[sub]=1...b[/sub] enthält BrotRosineN(j) Rosinen,...[/i][br]BrotRosineN={[s]0[/s], [u]1[/u], [s]0[/s], [b][color=#1155cc]2[/color][/b], [b][color=#1e84cc]2[/color][/b], [color=#ff0000]4[/color], [u]1[/u], [u]1[/u], [b][color=#6d9eeb]2[/color][/b], [b][color=#1c4587]2[/color][/b]},[/*][*] [i]Zusammenfassen[/i]:[br]RCounter = {[s]2[/s], [u]3[/u], [b][color=#0000ff]4[/color][/b], 0, [color=#ff0000]1[/color], 0, 0, 0, 0, 0, 0} [br][math]\text{\mathrm{b}=10 Brötchen enthalten \in \mathrm{n}=15 Rosinen}\\[br] [br]\left(\begin{array}{l}[br]2 \in 0 \\[br]3 \in 1 \\[br]4 \in 2 \\[br]1 \in 4\\[br]\overline{10 \leftarrow 15}[br]\end{array}\right)[/math][br][/*][*] Simulation [sub](300 mal)[/sub][br]MonteCarlo = MonteCarlo + RCounter [br]MoteCarlo = {609, 1033, 808, 368, 135, 30, 7, 0, 0, 0, 0} [br]run Slider [math]\fbox{\surd}[/math]→ für Simulation weiterer Auswertungen/Backchargen[br]Binomialverteilung P[sub]15,10[/sub]([size=85][i]p=1/10[/i][/size])[br]Kumulierte prozentuale Monte Carlo Simulation: MC[sub]n[/sub] = 300 Auswertungen/Backchargen[br]MC[sub]p[/sub] = MonteCarlo / (b MC[sub]n[/sub])[br][math]\begin{tabular}{cr}[br]{P_{15,10}} \qquad \qquad {MonteCarlo \otimes 300} & MC_{p}\\[br]\left(\begin{array}{rr}0&0.20589\\1&0.34315\\2&0.2669\\3&0.12851\\4&0.04284\\5&0.01047\\6&0.00194\\7&0.00028\\8&0.00003\\9&0\\10& 0\\\end{array}\right)\quad\left(\begin{array}{r}0.203\\0.34433\\0.26933\\0.12267\\0.045\\0.01\\0.00233\\0\\0\\0\\0\\\end{array}\right)[br]\end{tabular}[br][br][/math][br][/*][/list][br]Änderungen an n, b setzen die MonteCarlo-Simulation zurück!