{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d2ddb8a5-4120-4364-9971-511ab5ca7cc9",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eee23763-5c09-441d-b4dd-a417208b1e4e",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Urnenmodelle"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "00aa68c3-ed42-4838-977e-42de4294c5e1",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b894e586-95b1-4404-ab06-aab94644089d",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-danger\">\n",
    "<b>Ziel des Notebooks:</b>\n",
    "\n",
    "- Grundlegende kombinatorische Modelle verstehen\n",
    "- Anschaulich Herleitung von Binomialkoeffizient verstehen\n",
    "- Wahrscheinlichkeiten von Glücksspielen anhand von Lotto 6 aus 49 berechnen\n",
    "\n",
    "<br>\n",
    "    \n",
    "<b>Mathematische Tools:<b>\n",
    "- Kombinatorik\n",
    "- Stochastik\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1f4a4f20-99b6-422a-a131-674ad4f47a09",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e00fc1f-ea28-4e11-8aa8-4d810508bedc",
   "metadata": {},
   "source": [
    "Entgegen landläufiger Meinung gibt es mathematisch - und somit im Allgemeinen - keine Strategie, um die eigenen Gewinnchance beim Lotto (6 aus 49) zu erhöhen. Bei 6 aus 49 können - vereinfacht - 6 Zahlen von den Zahlen von 1 bis 49 auf einem Lottoschein angekreuzt werden, woraufhin an einem bestimmten Stichtag 6 Zahlen aus 49 gezogen werden. Je mehr man richtig hat, desto höher ist der Gewinn."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d24e3efd-faa1-4ac5-bbc0-ac315fecac6b",
   "metadata": {},
   "source": [
    "Es gibt viele Statistiken darüber, welche Zahlen in der Vergangenheit öfter gezogen wurden als andere und man könnte meinen, dass dies die Chance steigert, dass solche Zahlen gezogen werden, die noch nicht so oft gezogen wurden. Tatsächlich ist dies aber falsch."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8798a8d-3d0f-45b2-a0fa-3f50931576df",
   "metadata": {},
   "source": [
    "Wiederum ist es durchaus möglich den Gewinn, falls man gewinnt, durch die eigene Wahl von Zahlen zu erhöhen. Wählt man eher unbeliebte Zahlen, bzw. weniger beliebte Zahlen, so ist es wahrscheinlicher, dass weniger Menschen zeitgleich mit einem gewinnen und man somit einen höheren Gewinn ausgeschüttet bekommt."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ecb0506-9443-46f8-b205-d8e84002fb07",
   "metadata": {},
   "source": [
    "Wie hoch aber die tatsächlichen Chancen für einen solchen Gewinn überhaupt sind, wollen wir in diesem Notebook herausfinden."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b1fca179-9b08-4830-8c78-c27febb087d0",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f5ff5c3-40de-4e4e-a0e0-4a95e143b751",
   "metadata": {},
   "source": [
    "Um nun das Gewinnen im 6 aus 49 Lotto besser zu verstehen, wollen wir die Idee solcher zufälliger Vorgänge mit ein paar Definitionen aus der Stochastik I formalisieren, bei denen wir uns am Cramer, Kamps (siehe Literatur) orientieren werden. Dafür wollen wir im Folgenden von sogenannten Zufallsexperimenten sprechen, welche wir wie folgt definieren:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3d5e8ead-444f-46a6-99bd-c73eabd0b0b8",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "<b> Definition Zufallsexperiment</b> <br>\n",
    "Ein Zufallsexperiment ist ein realer Vorgang unter exakt festgelegten Bedingungen, wobei die möglichen Ergebnisse des Versuches bekannt sind, nicht aber, welchen Ausgang der Versuch nimmt. Ferner wird angenommen, dass der reale Vorgang unter den gleichen Bedingungen beliebig oft wiederholt werden kann.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c360694-934f-4779-b4db-2cf071444553",
   "metadata": {},
   "source": [
    "Insbesondere möchten wir hier auf die Festlegung aufmerksam machen, dass die möglichen Ergebnisse eines Zufallsexperiments bekannt sind, sowie der idealisierten Annahme, dass der Vorgang unter den gleichen Bedingungen beliebig oft wiederholt werden kann."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "13a2d121-f674-40f3-88cd-b11163ed8f91",
   "metadata": {},
   "source": [
    "Bevor wir uns nun eines der grundlegensten Zufallsexperimente anschauen, müssen wir noch ein paar weitere Grundbegriffe einführen:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a6abd677-8c15-455d-acb9-9669be8860a8",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "<b> Definition Grundraum, Ergebnis, Ereignis, Elementarereignis</b> <br>\n",
    "    Die Menge aller möglichen Ergebnisse eines Zufallsexperiments wird <b>Grundraum</b> genannt und meistens mit dem griechischen Buchstaben $\\Omega$ bezeichnet:\n",
    "    $$\n",
    "        \\Omega = \\{ \\omega \\mid \\omega \\text{ ist mögliches Ergebnis eines Zufallsexperiments}\\}.\n",
    "    $$\n",
    "    Ein Element $\\omega$ von $\\Omega$ heißt <b>Ergebnis</b>. Eine Menge von Ergebnissen heißt <b>Ereignis</b>. Ereignisse werden meist mit großen lateinischen Buchstaben $A,B,C, \\ldots$ bezeichnet. <br>\n",
    "    Ein Ereignis, das genau ein Element besitzt, heißt <b>Elementarereignis</b>.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b50e026e-7b51-44ad-a9c9-cc77dc6d5349",
   "metadata": {},
   "source": [
    "Nun haben wir die Mengen mit denen wir unsere Zufallsexperimente beschreiben können, allerdings fehlt noch die Möglichkeit, diesen Mengen Wahrscheinlichkeiten zuzuweisen. Dafür führen wir zuletzt noch den Begriff eines Wahrscheinlichkeitsmaßes ein. Hierbei handelt es sich um ein Maß im Sinne der Maßtheorie, falls Sie mit diesem Begriff vertraut sind."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd22953a-a2ce-48f6-896f-59bbc09c541e",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "<b> Definition Wahrscheinlichkeitsmaß, Wahrscheinlichkeitsverteilung, Zähldichte</b> <br>\n",
    "Seien $\\Omega = \\{ \\omega_1, \\omega_2, \\omega_3, \\ldots \\}$ ein endlicher oder abzählbar unendlicher Grundraum und $\\mathfrak{A} = \\mathfrak{P}ot(\\Omega) = \\{A \\mid A \\subseteq \\Omega\\}$ die Potenzmenge von $\\Omega.$ Ferner sei $f: \\Omega \\to [0,1]$ eine Abbildung mit \n",
    "$$\\sum_{\\omega \\in \\Omega} f(\\omega) = 1$$\n",
    "$\\hspace{1cm}$ 1. Die durch $$ P(A) = \\sum_{\\omega \\in A} f(\\omega), A \\in \\mathfrak{A}$$\n",
    "$\\hspace{1.35cm}$  definierte Abbildung $P: \\mathfrak{A} \\to [0,1], A \\mapsto P(A),$ die jedem Ereignis $A$ eine Wahrscheinlichkeit P(A) zuordnet, heißt <b>diskretes Wahrscheinlichkeitsmaß</b> oder <b>diskrete Wahrscheinlichkeitsverteilung</b> $\\hspace{1.35cm}$ auf $\\mathfrak{A}.$ <br> <br>\n",
    "\n",
    "$\\hspace{1cm}$ 2. Die Abbildung $f$ heißt <b>Zähldichte</b>. <br>\n",
    "    \n",
    "$\\hspace{1cm}$ 3. Für $\\omega \\in \\Omega$ heißt $f(\\omega) = P(\\{\\omega \\})$ Elementarwahrscheinlichkeit des Elementarereignisses $\\{\\omega\\}.$ Als Kurzschreibweise wird $P(\\omega) = P(\\{ \\omega \\})$ verwendet. <br>\n",
    "    \n",
    "$\\hspace{1cm}$ 4. Das Tripel $(\\Omega, \\mathfrak{A}, P)$ heißt <b>diskreter Wahrscheinlichkeitsraum</b>.\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2877fe23-b1a1-43f0-83e3-10d02c18e842",
   "metadata": {},
   "source": [
    "Die Zähldichte weist also jedem einzelnen Ergebnis eine Wahrscheinlichkeit zu und das Wahrscheinlichkeitsmaß weist Ereignissen, also Mengen von Ergebnissen, Wahrscheinlichkeiten zu, indem die Wahrscheinlichkeiten der vorkommenden Ergebnisse aufaddiert werden. Wie in der Stochastik I festgestellt wird, ist dies in solcher Form nur für diskrete Wahrscheinlichkeitsräume möglich, in diesem Notebook werden wir uns allerdings auf genau solche beschränken."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72f65be8-813c-435d-9a0a-4f21a62a4dda",
   "metadata": {},
   "source": [
    "Tatsächlich lässt sich ein Wahrscheinlichkeitsmaß auch über die resultierenden Eigenschaften charakterisieren, bzw. eine Zähldichte über ein Wahrscheinlichkeitsmaß."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e82e117-c459-4fdc-b152-eae446d087ca",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "<b> Kolmogorov Axiome diskret</b> <br>\n",
    "Seien $\\Omega$ eine höchstens abzählbare Menge und $P: \\mathfrak{P}ot(\\Omega) \\to [0,1]$ eine Abbildung mit den Eigenschaften (i)-(iii).\n",
    "\n",
    "$\\hspace{1cm}$ (i) $0 \\leq P(A) \\leq 1$ für jedes Ereignis $A \\in \\mathfrak{P}ot(\\Omega).$\n",
    "    \n",
    "$\\hspace{1cm}$ (ii) $P(\\Omega) = 1.$\n",
    "    \n",
    "$\\hspace{1cm}$ (iii) $P$ ist $\\sigma-$additiv, also für alle paarweisen disjunkten Ereignisse $A_i \\in \\mathfrak{P}ot(\\Omega),$ $i \\in \\mathbb{N},$ gilt:\n",
    "    $$\n",
    "        P(\\bigcup_{i=1} ^\\infty A_i) = \\sum_{i=1} ^\\infty P(A_i)\n",
    "    $$ <br>\n",
    "Dann gilt: <br> Es existiert genau eine Funktion\n",
    "    $$ f: \\Omega \\to [0,1], P(A) = \\sum_{\\omega \\in A} f(\\omega), A \\subseteq \\Omega$$\n",
    "    \n",
    "Dann handelt es sich bei $P$ auch um ein Wahrscheinlichkeitsmaß und bei $f$ um die entsprechende Zähldichte.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c3184a06-5ab3-4334-89dc-9d7735b5c697",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e07c0ef-7a17-4afe-95af-6445c329fbf2",
   "metadata": {},
   "source": [
    "Nun wollen wir uns den Wurf eines einfachen sechsseitigen Würfels als erstes Beispiel eines Zufallsexperiments anschauen. Hierbei nehmen wir an, dass es sich um einen fairen Würfel handelt, also jede Seite gleich wahrscheinlich ist und er tatsächlich immer auf genau eine Seite fällt und nicht auf einer Ecke landen kann:<br>\n",
    "Wir modellieren einen solchen Wurf mit der Grundmenge.\n",
    "$$\n",
    "\\Omega = \\{ 1, \\ldots, 6\\}\n",
    "$$\n",
    "und der Zähldichte\n",
    "$$\n",
    "    f: \\Omega \\to [0,1], \\omega \\mapsto \\frac{1}{6}.\n",
    "$$\n",
    "Hierbei handelt es sich dann um einen besonderen Wahrscheinlichkeitsraum, welchen wir Laplace-Raum nennen wollen, da alle Ergebnisse die gleiche Wahrscheinlichkeit haben und somit leicht nachgewiesen werden kann, dass $P(A) = \\frac{|A|}{|\\Omega|}.$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8bf07f38-563a-4852-8cdb-f306ce116fe3",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "\n",
    "### Aufgabe\n",
    "***\n",
    "Machen Sie sich klar, wieso in einem Laplace-Raum, also Wahrscheinlichkeitsraum $(\\Omega, \\mathfrak{A}, P)$ mit gleicher Wahrscheinlichkeit für alle Ergebnisse, die Formel $P(A) = \\frac{|A|}{|\\Omega|}$ für beliebiges $A \\in \\mathfrak{A}$ gilt.\n",
    "    \n",
    "Hinweis: <br>\n",
    "Überlegen Sie sich, inwiefern die Zähldichte mit den Bedingungen der Aufgabe bereits in ihren Werten festgelegt ist und betrachten Sie die obige Definition eines Wahrscheinlichkeitsmaßes.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "68fd77b8-dbdf-4d28-8bbe-fe109da6d569",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee2ff133-6b3f-4969-b2fe-4a7feb53be05",
   "metadata": {},
   "source": [
    "Jetzt, wo wir das benötigte Werkzeug in Form von Definitionen haben, wollen wir uns dem Lotterie Problem nähern. Dafür wollen wir uns vier Arten möglicher Zufallsexperimente anschauen. Im Folgenden werden wir zunächst die Grundräume erarbeiten und dann überlegen, wie ein Wahrscheinlichkeitsmaß aussehen könnte."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "955fe6ed-e166-4b76-8e77-5da996aa6204",
   "metadata": {},
   "source": [
    "Die vier folgenden Typen von Zufallsexperimenten haben gemeinsam, dass sie gut mit Hilfe von Urnen und Kugeln visualisiert werden können, weswegen sie auch Urnenmodelle genannt werden. Wir stellen uns also vor, wir haben eine Urne gefüllt mit $n$ unterscheidbaren Kugeln. Also etwa Kugeln beschriftet mit den Zahlen $1$ bis $n.$ Im Folgenden werden nun auf verschiedene Arten $k \\leq n$ Kugeln aus der Urne genommen. <br>"
   ]
  },
  {
   "attachments": {
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     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "4118c4c0-f7f6-4a6f-9ce4-c1b4534c49fc",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:b79b31fe-8054-46be-85a3-512d6fc5e756.png\" width=\"250\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2690c934-b921-4f88-a4b7-f7a5cb19ec37",
   "metadata": {},
   "source": [
    "Als erstes werden wir beim Entnehmen der Kugeln auf die Reihenfolge der Ziehung achten und die Kugeln nach dem Ziehen zurück in die Urne legen. <br>\n",
    "Beim Ziehen der ersten Kugel gibt es nun $n$ mögliche Kugeln, die gezogen werden können. Da nun nach jedem Ziehen die Kugel wieder zurück gelegt wird, gibt es erneut $n$ Möglichkeiten, welche Kugel als zweites, drittes und so weiter gezogen werden kann. Insgesamt ergeben sich bei $k$ Ziehungen $\\underbrace{n \\cdot \\ldots \\cdot n}_{k-mal} = n^k.$ <br>\n",
    "Diese Menge, bzw. diesen Wahrscheinlichkeitsraum von Ergebnissen, die das Ziehen von k Kugeln mit Zurücklegen modellieren, wollen wir mit $\\Omega_{PmW}$ (Permutationen mit Wiederholungen oder auch $(n,k)$-Permutationen) bezeichnen. Wir haben also festgestellt, dass $|\\Omega_{PmW}| = n^k.$ Anschaulich ergibt der Name <b>Permutationen mit Wiederholungen</b> Sinn, denn es geht um die Betrachtung der verschiedenen Möglichkeiten, wie man $k$ Elemente (mit Wiederholungen) aus den $n$ Elementen auflisten kann - dabei kommt es auf die Reihenfolge an."
   ]
  },
  {
   "attachments": {
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    }
   },
   "cell_type": "markdown",
   "id": "1e559c14-8658-4db6-a860-06647d1517ec",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:97ac9d8b-af3a-47d3-a344-d3d6b73f2d03.jpeg\" width=\"950\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f5db23e5-354d-4aac-9045-b13b174af1a7",
   "metadata": {},
   "source": [
    "In der obigen Abbildung werden also 2 Kugeln aus dem Beutel mit drei verschiedenen Kugeln gewählt. Mit unserer Formel gibt es $3^2 = 9$ verschiedene Permutationen, womit in der Abbildung alle dargestellt sind."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04edd33e-8662-4e74-9c4d-fc1d1282d619",
   "metadata": {},
   "source": [
    "Nun wollen wir uns mit dem Wahrscheinlichkeitsmaß auf $|\\Omega_{PmW}|$ beschäftigen. Nicht groß überraschend wird durch $(\\Omega_{PmW}, \\mathfrak{A}_{PmW}, P)$ mit $P(A) = \\frac{|A|}{|\\Omega_{PmW}|}$ ein diskreter Wahrscheinlichkeitsraum definiert. Hierfür muss sich vor Augen geführt werden, dass jede Ziehung gleich wahrscheinlich ist. Denn nach jeder Ziehung wird die Kugel zurückgelegt, also kann die Ziehung in die einzelnen Ziehungen einer Kugeln aufgeteilt werden. Sicherlich ist die Wahrscheinlichkeit beim Ziehen aus $n$ Kugeln, eine bestimmte Kugel zu ziehen, $\\frac{1}{n}$ und somit $k$ bestimmte Kugeln (unabhängig voneinander) hintereinander zu ziehen, $(\\frac{1}{n})^k = \\frac{1}{n^k} =\\frac{|\\{(u_1,\\ldots ,u_k)\\}|}{|\\Omega_{PmW}|}.$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e0d3417f-c0d9-4377-8a28-c7ecae0c06af",
   "metadata": {},
   "source": [
    "Mit analoger Überlegung erhält man für die Menge der Permutationen ohne Wiederholung bei k Ziehungen $n \\cdot (n-1) \\cdot \\ldots \\cdot (n-(k-1))$ Möglichkeiten. Auch hier ist ein diskreter Wahrscheinlichkeitsraum durch $(\\Omega_{PoW}, \\mathfrak{A}_{PoW}, P)$ mit $P(A) = \\frac{|A|}{|\\Omega_{PoW}|}$ gegeben."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe1a3ec6-5521-4846-931a-92db5d168410",
   "metadata": {},
   "source": [
    "Diese Ergebnisse fassen wir im Folgenden zusammen:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "225a5a6a-9206-4809-b46c-2d183d168e63",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "<b> Definition Modell (n,k)-Permutation mit und ohne Wiederholung</b> <br>\n",
    "    Die Menge aller (n,k)-Permutationen <b>mit Wiederholung</b> ist die Menge aller Ergebnisse, die im Urnenmodell mit Zurücklegen und mit Berücksichtigung der Reihenfolge auftreten können (n Kugeln in der Urne, k Ziehungen). Ist $M_n = \\{1, \\ldots, n\\}$ die Menge der in der Urne enthaltenen Kugeln, so beschreibt\n",
    "    $$ \\Omega_{PmW} = \\{(\\omega_1, \\ldots, \\omega_k) \\mid \\omega_i \\in M_n, 1 \\leq i \\leq k\\} = \\{1, \\ldots, n\\}^k$$\n",
    "die Menge aller (n,k)-Permutationen mit Wiederholung über $M_n.$ Es gilt $|\\Omega_{PmW}| = n^k.$ Durch $(\\Omega_{PmW}, \\mathfrak{A}_{PmW}, P)$ mit $P(A) = \\frac{|A|}{|\\Omega_{PmW}|}$ ist ein diskreter Wahrscheinlichkeitsraum definiert. <br> <br>\n",
    "    \n",
    "Die Menge aller (n,k)-Permutationen <b>ohne Wiederholung</b> ist die Menge aller Ergebnisse, die im Urnenmodell ohne Zurücklegen und mit Berücksichtigung der Reihenfolge auftreten können (n Kugeln in der Urne, k Ziehungen). Ist $M_n = \\{1, \\ldots, n\\}$ die Menge der in der Urne enthaltenen Kugeln, so beschreibt\n",
    "    $$ \\Omega_{PoW} = \\{(\\omega_1, \\ldots, \\omega_k) \\mid \\omega_i \\in M_n, 1 \\leq i \\leq k, \\omega_i \\neq \\omega_j \\text{ für } 1 \\leq i \\neq j \\leq k\\} $$\n",
    "die Menge aller (n,k)-Permutationen ohne Wiederholung über $M_n.$ Es gilt $|\\Omega_{PoW}| = \\frac{n!}{(n-k)!}.$ Durch $(\\Omega_{PoW}, \\mathfrak{A}_{PoW}, P)$ mit $P(A) = \\frac{|A|}{|\\Omega_{PoW}|}$ ist ein diskreter Wahrscheinlichkeitsraum definiert. <br>\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48cf9ae5-2a17-4ae5-85e4-705af3e68cb3",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "\n",
    "### Aufgabe\n",
    "***\n",
    "Machen Sie sich bewusst, in wie fern die Menge aller $(n,n)-$Permutationen ohne Wiederholung mit der $S_n,$ also der symmetrischen Gruppe auf $n$ Elementen, bzw. die Gruppe der Bijektionen von $\\{1, \\ldots, n\\}$ auf sich selbst verbunden ist.\n",
    "    \n",
    "Hinweis: Wieviele Bijektionen von $\\{1, \\ldots, n\\}$ auf sich selbst gibt es?\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "71771a33-bb52-42a9-a03e-7171ca3275a4",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "\n",
    "### Aufgabe\n",
    "***\n",
    "Bei einer Tombola sollen aus einem Gefäß mit 40 Kugeln, die jeweils mit den Zahlen von 1 bis 4 beschriftet sind, 4 Kugeln ohne zurücklegen gezogen werden. Man kann ein Ticket erwerben, auf dem eine Reihenfolge von Zahlen, etwa 4231, steht. Wie wahrscheinlich ist es, dass jeweils eines der Tickets: <br>\n",
    "    $\\hspace{1cm}$ 1) 3333 <br>\n",
    "    $\\hspace{1cm}$ 2) 1234 <br>\n",
    "    $\\hspace{1cm}$ 3) 2323 <br>\n",
    "gewinnt? <br>\n",
    "    \n",
    "Unterscheiden sich die Wahrscheinlichkeiten? Wenn ja, wieso? <br>\n",
    "Ist diese Tombola fair, in dem Sinne, dass jedes Ticket die gleiche Gewinnwahrscheinlichkeit hat? <br>\n",
    "Wie könnte diese Tombola abgeändert werden, sodass sie im obigen Sinne fair ist?\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "236dc136-faae-4b2b-ad6b-0e09b8b42f5a",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f2b7badd-2beb-48b6-8e2a-9c0e808b9197",
   "metadata": {},
   "source": [
    "Obige Modelle helfen uns aber tatsächlich nicht bei der Modellierung des 6 aus 49 Lottos, da dort die Reihenfolge der gezogenen Zahlen keine Rolle spielt. Hierfür benötigen wir also ein anderes Modell. Wenn wir wollen, dass die Reihenfolge auch relevant ist, sprechen wir daher wie oben von <b>Permutationen</b> und ansonsten von <b>Kombinationen</b>. Mathematisch könnte man zwischen Tupeln, z.B. $(1,2),$ und Mengen, analog $\\{1,2\\},$ unterscheiden."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "36f6c6bb-848a-4dfb-90df-796afef43584",
   "metadata": {},
   "source": [
    "Im Folgenden also die Urnenmodelle zu Kombinationen mit Wiederholung und ohne Wiederholung."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82b11918-c9e1-4d02-a7b6-e3384f32865a",
   "metadata": {},
   "source": [
    "Hier eine kleine Visualisierung von Kombinationen mit und ohne Wiederholung:"
   ]
  },
  {
   "attachments": {
    "5b8cc639-0585-4ade-b826-fcb8c38506ad.png": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "2da0520a-9fdd-4528-af96-6f5bf6aedc3b",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:5b8cc639-0585-4ade-b826-fcb8c38506ad.png\" width=\"1200\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3553bc9a-c309-4a44-a546-ddf794c0d662",
   "metadata": {},
   "source": [
    "Wie auf der Abbildung exemplarisch zu sehen und auch plausibel, ist die Zahl an Kombinationen mit Wiederholung deutlich größer, als jene ohne Wiederholung. Weiterhin ist zu beachten, dass die Kombinationen $(1,2,3)$ und $(2,1,3)$ die gleichen sind, bzw. wir Kombinationen nur in aufsteigenden Tupeln notieren wollen, also $(1,2,3)$ die richtige Schreibweise wäre."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba8a54f5-9089-4b4f-83ea-4e4ee1c76acd",
   "metadata": {},
   "source": [
    "Dieses mal beginnen wir mit den Kombinationen ohne Wiederholung. Da die Kugeln für unsere Zwecke mit verschiedenen Zahlen von $1$ bis $n$ beschriftet sind, können wir die Menge $\\Omega_{KoW}$ schreiben als $\\{ (\\omega_1, \\ldots, \\omega_k) \\mid \\omega_i \\in \\{1, \\ldots, n\\}, \\omega_1 < \\ldots < \\omega_k \\}.$ Also als Menge von strikt sortierten Tupeln (echt kleiner und nicht kleiner gleich). Alternativ können wir auch $\\Omega' _{KoW} = \\{A \\subseteq \\{1, \\ldots, n\\} \\mid |A| = k\\}$ schreiben. Da uns die Sortierung nicht interessiert, betrachten wir beliebige $k$-elementige Teilmengen der Zahlen von $1$ bis $n.$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea08008b-30e4-4de1-b37d-ad1cb30310c6",
   "metadata": {},
   "source": [
    "Diese zweite Charakterisierung wollen wir verwenden, um die Mächtigkeit von $\\Omega' _{KoW}$ zu bestimmen, welche der Mächtigkeit von $\\Omega_{KoW}$ entpricht."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06326195-ec54-4afb-9012-b22cf9e73192",
   "metadata": {},
   "source": [
    "Betrachtet man die Abbildung $\\varphi: \\Omega_{PoW} \\to \\Omega' _{KoW}, (\\omega_1, \\ldots, \\omega_k) \\mapsto \\{ \\omega_1, \\ldots, \\omega_k \\},$ so ist diese sicherlich surjektiv. Es sei angemerkt, dass $\\Omega_{PoW}$ die Permutationen ohne Wiederholung sind, also Anordnung der Elemente der Tupel eine Rolle spielt. Weiter erhält man nun für bel. $A \\in \\Omega' _{KoW},$ dass $|\\varphi^{-1}(A)| = k!$ (das Urbild von $A$ unter $\\varphi$), da es $k!$ mögliche Anordnungen eines festen Tupels $(\\omega_1, \\ldots, \\omega_k)$ gibt, mit verschiedenen festen $\\omega_i.$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04dd38d8-9cf4-4ff9-86c3-1c8af2fde2c1",
   "metadata": {},
   "source": [
    "Weiter gilt für bel. $A, B \\in \\Omega' _{KoW},$ dass $\\varphi^{-1}(A) \\cap \\varphi^{-1}(B) = \\emptyset,$ womit $\\Omega_{PoW} = \\bigcup _{A \\in \\Omega' _{KoW}} \\varphi^{-1}(A)$ und somit $|\\Omega_{PoW}| = \\sum_{A \\in \\Omega' _{KoW}} |\\varphi^{-1}(A)| = |\\Omega' _{KoW}| \\cdot k!.$ Also insgesamt \n",
    "$$|\\Omega' _{KoW}| = \\frac{|\\Omega_{PoW}|}{k!}= \\frac{n!}{(n-k)! \\cdot k!}= |\\Omega _{KoW}|.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cdc84c41-818e-4d77-ac3d-4c8ca3ee0133",
   "metadata": {},
   "source": [
    "Die Zahl $\\frac{n!}{(n-k)! \\cdot k!}$ wollen wir mit $\\binom{n}{k}$ abkürzen und Binomialkoeffizient oder \"n über k\" nennen. Sie beschreibt also die Anzahl an Möglichkeiten $k$ Elemente aus $n$ auszuwählen (ohne Zurücklegen) ohne die Reihenfolge zu betrachten."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "59baddde-dcda-40df-bed2-625f898f9166",
   "metadata": {},
   "source": [
    "Den geneigten Lesenden sei überlassen nachzuweisen, dass $\\varphi$ tatsächlich surjektiv ist."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d9870c3e-7c24-4e0b-83f9-b8228c675b6b",
   "metadata": {},
   "source": [
    "Analog lässt sich die Mächtigkeit für $\\Omega_{KmW}$ bestimmen, was wir Ihnen im Folgenden als Aufgabe stellen wollen."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "af6a4014-d562-4cb3-82d0-4717843c21ed",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "\n",
    "### Aufgabe\n",
    "***\n",
    "Bestimmen Sie die Mächtigkeit von $\\Omega_{KmW}$ und begründen Sie ihre Antwort.\n",
    "    \n",
    "Hinweis: Schreiben Sie $\\Omega_{KmW}$ analog wie $\\Omega_{KoW}$ oben als Menge von Tupeln, die auf bestimmte Art sortiert ist. Stellen Sie anschließend eine bijektive Abbildung zwischen $\\Omega_{KmW}$ und der Menge aller $(n+k-1,k)$-Kombinationen ohne Wiederholung ($\\Omega_{KoW,n+k-1,k}$) auf, indem sie ein Tupel $(\\omega_1, \\ldots, \\omega_k) \\in \\Omega_{KmW}$ auf das Tupel $(\\omega_1, \\omega_2 + 1, \\omega_3 + 2, \\ldots \\omega_k + k-1) \\in \\Omega_{KoW,n+k-1,k}$ abbilden. Nutzen Sie dann das soeben Bewiesene über $\\Omega_{KoW}.$\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "60f39585-b18b-42f9-897f-4324b549c23a",
   "metadata": {},
   "source": [
    "Insgesamt erhalten wir also folgende Modelle für Kombinationen mit und ohne Wiederholung:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "935043ec-f287-4f83-b587-c1b9f36433c4",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "<b> Definition Modell (n,k)-Kombinationen ohne und mit Wiederholung</b> <br>\n",
    "    Die Menge aller (n,k)-Kombinationen <b>ohne Wiederholung</b> ist die Menge aller Ergebnisse, die im Urnenmodell ohne Zurücklegen und ohne Berücksichtigung der Reihenfolge auftreten können (n Kugeln in der Urne, k Ziehungen). Ist $M_n = \\{1, \\ldots, n\\}$ die Menge der in der Urne enthaltenen Kugeln, so beschreibt\n",
    "    $$ \\Omega_{KoW} = \\{(\\omega_1, \\ldots, \\omega_k) \\mid \\omega_i \\in M_n, \\omega_1 < \\ldots < \\omega_k\\} = $$\n",
    "die Menge aller (n,k)-Kombinationen ohne Wiederholung über $M_n.$ Es gilt $|\\Omega_{KoW}| = \\frac{n!}{(n-k)! \\cdot k!} = \\binom{n}{k}.$\n",
    "    \n",
    "Die Menge aller (n,k)-Kombinationen <b>mit Wiederholung</b> ist die Menge aller Ergebnisse, die im Urnenmodell mit Zurücklegen und ohne Berücksichtigung der Reihenfolge auftreten können (n Kugeln in der Urne, k Ziehungen). Ist $M_n = \\{1, \\ldots, n\\}$ die Menge der in der Urne enthaltenen Kugeln, so beschreibt\n",
    "    $$ \\Omega_{KmW} = \\{(\\omega_1, \\ldots, \\omega_k) \\mid \\omega_i \\in M_n,\\omega_1 \\leq \\ldots \\leq \\omega_k\\} $$\n",
    "die Menge aller (n,k)-Kombinationen mit Wiederholung über $M_n.$ Es gilt $|\\Omega_{KoW}| = \\binom{n+k-1}{k}.$\n",
    "\n",
    "</div>"
   ]
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   "source": [
    "Nun stellt sich auch hier die Frage nach (diskreten) Wahrscheinlichkeitsräumen, bzw. Wahrscheinlichkeitsmaßen auf diesen Grundräumen. Anhand der Beweise lässt sich gut nachvollziehen, für welchen Fall es sich um einen Laplace-Raum handelt."
   ]
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   "id": "e2f6fafd-5273-410c-8636-504385eb0a2e",
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   "source": [
    "Im Beweis für die Mächtigkeit von $\\Omega_{KoW}$ haben wir eine Abbildung zwischen $\\Omega_{PoW}$ und $\\Omega_{KoW}$ (bzw. $\\Omega' _{KoW}$) aufgestellt. Das es sich bei $P(A) = \\frac{|A|}{|\\Omega_{KoW}|}$ um ein Wahrscheinlichkeitsmaß handelt, kann also mit Hilfe von $\\Omega_{PoW}$ über die Kolmogorov Axiome nachgewiesen werden, da \n",
    "$$\\frac{|A|}{|\\Omega_{KoW}|} = \\frac{|A'| \\frac{1}{k!}}{|\\Omega_{PoW}| \\frac{1}{k!}}.$$"
   ]
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   "source": [
    "Wiederum ist dies nicht analog möglich für $\\Omega_{KmW}.$ Dies kann sich damit vor Augen geführt werden, dass es bei $n = 2,$ $k=2,$ für das Ergebnis $(1,1)$ genau eine Möglichkeit gibt, wie sich dieses in einer Ziehung ergeben kann. Wiederum gibt es für das Ergebnis $(1,2)$ zwei verschiedene Möglichkeiten, es könnte zunächst die $1$ dann die $2$ oder andersherum gezogen werden. Es ist also einleuchtend, dass die beiden Ergebnisse als Elementarereignisse nicht die gleiche Wahrscheinlichkeit haben sollten."
   ]
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   "id": "aa5b7c2d-0fdb-4ae2-9193-10433959e82f",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "\n",
    "### Aufgabe\n",
    "***\n",
    "Führen Sie sich vor Augen, wieso dieses Argumentation nicht analog für $\\Omega_{KoW}$ geführt werden kann.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6a908ac-0724-4327-aee2-7761828d3a90",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8cb9503-71c6-4cca-a0cf-f56d8ff20a1a",
   "metadata": {},
   "source": [
    "Nun haben wir schließlich die nötigen Werkzeuge, um die ursprüngliche Frage/Aufgabe des Notebooks zu klären: Was ist die Chance im 6 aus 49 Lotto alle, bzw. manche Zahlen richtig zu haben?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f519b51-361c-42c7-b69d-d90c80dd942c",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "\n",
    "### Aufgabe\n",
    "***\n",
    "Berechnen Sie die Wahrscheinlichkeit, beim Lotto 6 aus 49 alle richtig zu haben, bzw. 5, 4, 3, 2 oder 1 richtig zu haben.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de9810a6-f526-42e7-b3ea-511531de6bc9",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89dadd80-60f0-4d18-88eb-58371488c282",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-danger\">\n",
    "\n",
    "### Rückblick-Aufgabe\n",
    "***\n",
    "In diesem Notebook haben wir uns mit grundlegenden Formeln, bzw. Modellen der Kombinatorik beschäftigt, um das Glücksspiel 6 aus 49 Lotto besser zu verstehen. In der Einleitung wurde hierbei gesagt, dass es viele Statistiken über frühere Gewinnzahlen gibt und darüber, welche Zahlen in der Vergangenheit noch nicht so oft vorkamen. Dabei wurde behauptet, dass diese Statistiken es nicht ermöglichen würden, die eigenen Gewinnchancen zu erhöhen und dies auch sonst nicht - rechtens - möglich wäre. Wieso ist das so? <br>\n",
    "Die Zahlen der Form $\\binom{n}{k}$ werden auch Binomialkoeffizienten genannt. Wieso ist das so, bzw. was ist der Zusammenhang zur binomischen Formel anschaulich?\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "38930534-f729-433c-8b01-fe1d8bed5953",
   "metadata": {},
   "source": [
    "### Literaturhinweise"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6bd4f2b2-7cb3-4321-8ae3-45f685cb119a",
   "metadata": {},
   "source": [
    "- Erhard Cramer, Udo Kamps: Grundzüge der Stochastik"
   ]
  }
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