{
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   "cell_type": "code",
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   "source": [
    "import random\n",
    "import math\n",
    "\n",
    "def buffon_needle(n_drops=100000):\n",
    "    hits = 0\n",
    "    for _ in range(n_drops):\n",
    "        y = random.random()\n",
    "        theta = random.uniform(0, math.pi / 2)\n",
    "        if y <= (math.sin(theta) / 2):\n",
    "            hits += 1\n",
    "    return (2 * n_drops) / hits\n",
    "\n",
    "pi_est = buffon_needle()\n",
    "print(f\"Estimation de π par la méthode de Buffon : {pi_est}\")\n"
   ]
  }
 ],
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