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Conditional Probability.ipynb

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+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "36a13cbb",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Conditional probabilities P(B_i|A): [0.9615384615384615, 0.038461538461538464]\n"
+     ]
+    }
+   ],
+   "source": [
+    "def conditional(P_A_given_B, P_B):\n",
+    "    # Calculate the total probability P(A)\n",
+    "    P_A = 0\n",
+    "    for i in range(len(P_B)):\n",
+    "        P_A += P_A_given_B[i] * P_B[i]\n",
+    "\n",
+    "    # Calculate P(B_i|A) for each i\n",
+    "    P_B_given_A = []\n",
+    "    for i in range(len(P_B)):\n",
+    "        P_B_given_A.append(P_A_given_B[i] * P_B[i] / P_A)\n",
+    "\n",
+    "    return P_B_given_A\n",
+    "\n",
+    "# Example usage\n",
+    "P_A_given_B = [250/2000, 5/1000]  # Replace with actual values\n",
+    "P_B = [0.5, 0.5]  # Replace with actual values\n",
+    "\n",
+    "P_B_given_A = conditional(P_A_given_B, P_B)\n",
+    "print(\"Conditional probabilities P(B_i|A):\", P_B_given_A)"
+   ]
+  }
+ ],
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+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.11.5"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}