Pi estimate- Added Notes

module2/exo1/toy_notebook_fr.ipynb

@@ -4,23 +4,17 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# À propos de pi"
+    "### Estimating π\n",
+    "\n",
+    "I tried to compute pi using Buffon’s Needle method with random numbers to estimate the value of π.  \n",
+    "The result is close to 3.14, showing how randomness can be used in simulations."
    ]
   },
   {
-   "cell_type": "code",
-   "execution_count": 1,
+   "cell_type": "markdown",
    "metadata": {},
-   "outputs": [],
    "source": [
-    "from random import random   \n",
-    "N=10000\n",
-    "val=sum(\n",
-    "1 for _ in range(N)\n",
-    "    if random()**2 + random()**2 <= 1\n",
-    ")\n",
-    "\n",
-    "pi_estimate = 4 * val / N"
+    "# About Pi"
    ]
   },
   {
@@ -34,6 +28,22 @@
     "Donc : $\\pi \\approx 4 \\times \\frac{\\text{points dans le cercle}}{\\text{points totaux}}$\n"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from random import random   \n",
+    "N=10000\n",
+    "val=sum(\n",
+    "1 for _ in range(N)\n",
+    "    if random()**2 + random()**2 <= 1\n",
+    ")\n",
+    "\n",
+    "pi_estimate = 4 * val / N"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 8,