python-everything-exercise-world cup 2022 possible outcomes.ipynb

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    "# Python: Everything\n",
    "- 17) **Exercise:** Computing the probability of the final ranking for the FIFA World cup 2022, knowing semifinal matches:<br>\n",
    "ورزه: رایانش شکیبمندی رده‌بندی پایانی جام جهانی پاتوپ دو هزار و بیست و دو، با دانستن پیکارهای نیمه-پایانی\n",
    "<br>----------------------------------------------\n",
    "<br>https://github.com/ostad-ai/Python-Everything"
   ]
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   "source": [
    "# importing modules\n",
    "# درونبری سنجانه‌ها\n",
    "from itertools import permutations\n",
    "from fractions import Fraction"
   ]
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    "# computing permutations of ranking of four teams\n",
    "# then excluding impossible outcomes based on semi-final matches\n",
    "# رایانش جایگشت رده‌بندی چهار تیم\n",
    "# سپس، برون‌گذاری پیشامدهای نشدنی، برپایه پیکارهای نیمه-پایانی\n",
    "def prob_knowing_semifinals(elements,semi_finals):\n",
    "    pers=list(permutations(elements))\n",
    "    excludes=[]\n",
    "    for outcome in pers:\n",
    "        for match in semi_finals:\n",
    "            if (outcome[0]==match[0] and outcome[1]==match[1]) or\\\n",
    "               (outcome[0]==match[1] and outcome[1]==match[0]):\n",
    "                excludes.append(outcome)    \n",
    "    valids=set(pers)-set(excludes)\n",
    "    return valids,Fraction(1,len(valids))"
   ]
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      "Probability of a ranking event: 1/16\n",
      "Valid outcomes:\n",
      " {('CRO', 'MAR', 'ARG', 'FRA'), ('FRA', 'CRO', 'MAR', 'ARG'), ('MAR', 'CRO', 'ARG', 'FRA'), ('ARG', 'FRA', 'CRO', 'MAR'), ('ARG', 'FRA', 'MAR', 'CRO'), ('MAR', 'ARG', 'CRO', 'FRA'), ('ARG', 'MAR', 'FRA', 'CRO'), ('CRO', 'FRA', 'MAR', 'ARG'), ('ARG', 'MAR', 'CRO', 'FRA'), ('FRA', 'ARG', 'CRO', 'MAR'), ('FRA', 'ARG', 'MAR', 'CRO'), ('MAR', 'ARG', 'FRA', 'CRO'), ('CRO', 'FRA', 'ARG', 'MAR'), ('MAR', 'CRO', 'FRA', 'ARG'), ('FRA', 'CRO', 'ARG', 'MAR'), ('CRO', 'MAR', 'FRA', 'ARG')}\n"
     ]
    }
   ],
   "source": [
    "# using above function\n",
    "# بهره‌گیری از کارکنش بالا\n",
    "# FRA=France, ARG=Argentina, CRO=Croatia, MAR=Morocco\n",
    "elements=['FRA','ARG','CRO','MAR']\n",
    "semi_finals=[['FRA','MAR'],['ARG','CRO']]\n",
    "valids,prob=prob_knowing_semifinals(elements,semi_finals)\n",
    "print('Probability of a ranking event:',prob)\n",
    "print('Valid outcomes:\\n',valids)"
   ]
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