{
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gain ( somme à addition en plus de la mise de départ si victoire ): \n",
    "\n",
    "    - Rouge, Noir, Pair, Impair, 1 à 18, 19 à 36 : mise * 1\n",
    "    - à cheval sur 2 colonnes ( moitié des nombres ), douze nombres à cheval ( 1/3 des nombres, 24 ) : mise * 0.5\n",
    "    - colonne, douzaine : mise * 2\n",
    "    - sixain ( six nombres ) : mise * 5\n",
    "    - à cheval sur deux cases : mise * 17\n",
    "    - un seul nombre : mise * 35"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 292,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(31, 69), (34, 66), (31, 69), (37, 63), (35, 65), (26, 74), (32, 68), (26, 74), (29, 71), (26, 74), (35, 65), (31, 69), (28, 72), (32, 68), (30, 70), (21, 79), (29, 71), (37, 63), (26, 74), (35, 65)]\n",
      "moyenne parties gagnée ( stop à 14€ ) : 30.55\n",
      "moyenne parties perdue ( stop à 14€ ) : 69.45\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import numpy.random as rd\n",
    "\n",
    "\n",
    "def tirage_num(n):\n",
    "    return rd.randint(0, 36, n)\n",
    "\n",
    "def rouge_noir(nb):\n",
    "    rouge = [1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36]\n",
    "    noir = [2, 4, 6, 8, 10, 11, 13, 15, 17, 20, 22, 24, 26, 28, 29, 31, 33, 35]\n",
    "    if nb in rouge:\n",
    "        return 1\n",
    "    elif nb in noir:\n",
    "        return 2\n",
    "    else:\n",
    "        return 0\n",
    "\n",
    "def pair_impair(nb):\n",
    "    if nb % 2 == 0:\n",
    "        return 0\n",
    "    else:\n",
    "        return 1\n",
    "    \n",
    "def victoire(nb, argent): # on considère que l'on joue à chaque partie 1€ sur rouge et 1€ sur pair\n",
    "    argent -= 2\n",
    "    if(rouge_noir(nb) == 1 and pair_impair(nb) == 0):\n",
    "        argent += 4\n",
    "    elif(rouge_noir(nb) == 1):\n",
    "        argent += 2\n",
    "    elif(pair_impair(nb) == 0):\n",
    "        argent += 2\n",
    "    if(pair_impair(nb) == 1 and rouge_noir(nb) == 2 ):\n",
    "        argent += 0\n",
    "        \n",
    "    return argent\n",
    "\n",
    "def partie(cashin,tirage): # cashin = prix auquel on veut stopper la partie, tirage = nombre de tirage par partie\n",
    "    argent_base = 10\n",
    "    max = argent_base\n",
    "    for i in tirage_num(tirage):\n",
    "        if(argent_base > 0 and argent_base < cashin):\n",
    "            argent_base = victoire(i, argent_base)\n",
    "            if(argent_base > max):\n",
    "                max = argent_base\n",
    "        else:\n",
    "            break\n",
    "    return argent_base\n",
    "\n",
    "def npartie(n,cashin,tirage): # n = nombre de partie que l'on veut faire, cashin = prix auquel on veut stopper la partie, tirage = nombre de tirage par partie\n",
    "    nb = 0\n",
    "    gagnée = 0\n",
    "    perdue = 0\n",
    "    for i in range(n):\n",
    "        nb = partie(cashin,tirage)\n",
    "        if(nb == cashin):\n",
    "            gagnée += 1\n",
    "        else:\n",
    "            perdue += 1\n",
    "    return gagnée, perdue\n",
    "        \n",
    "list = []\n",
    "count = 20\n",
    "for i in range(count):\n",
    "    list.append(npartie(100,14,10))\n",
    "\n",
    "print(list)\n",
    "\n",
    "gagnee_moy = 0\n",
    "perdue_moy = 0\n",
    "\n",
    "for i in list:\n",
    "    gagnee_moy += i[0]\n",
    "    perdue_moy += i[1]\n",
    "    \n",
    "print(\"moyenne parties gagnée ( stop à 14€ ) :\", (gagnee_moy/count))\n",
    "print(\"moyenne parties perdue ( stop à 14€ ) :\", (perdue_moy/count))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 282,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "100000\n",
      "[(58920, 2164, 0), (59370, 2079, 0), (59218, 2149, 0), (58900, 2044, 0), (58853, 2098, 0), (59072, 2033, 0), (58734, 2065, 0), (59130, 2101, 0), (58996, 2050, 0), (58755, 1967, 0), (59134, 2103, 0), (59163, 2022, 0), (59126, 2054, 0), (59237, 2061, 0), (58827, 2051, 0), (59213, 2096, 0), (59056, 1990, 0), (58979, 2077, 0), (58814, 2167, 0), (59021, 2063, 0)]\n",
      "moyenne parties gagnée ( stop à 12€ ) : 59.0259\n",
      "moyenne parties perdue ( stop à 12€ ) : 2.0717\n"
     ]
    }
   ],
   "source": [
    "list = []\n",
    "count = 0\n",
    "for i in range(20):\n",
    "    list.append(npartie(100000,12,10))\n",
    "    count += 1\n",
    "\n",
    "print(list)\n",
    "\n",
    "gagnee_moy = 0\n",
    "perdue_moy = 0\n",
    "\n",
    "for i in list:\n",
    "    gagnee_moy += i[0]\n",
    "    perdue_moy += i[1]\n",
    "    \n",
    "print(\"moyenne parties gagnée ( stop à 12€ ) :\", (gagnee_moy/count)/1000)\n",
    "print(\"moyenne parties perdue ( stop à 12€ ) :\", (perdue_moy/count)/1000)\n"
   ]
  }
 ],
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