{
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"
    }
   },
   "cell_type": "markdown",
   "id": "a33d7300-2066-4bf9-b347-01aca3d7149d",
   "metadata": {},
   "source": [
    "# Definition\n",
    "\n",
    "Probability is concerned with quantifying the likelihood of an event occurring. The closed interval of probability is [0,1], where 0 corresponds to an event never happening, and 1 to an event always happening. This requires dividing the number of ways of securing a successful outcome by the total number of possible outcomes:\n",
    "\n",
    "![image.png](attachment:63d87d3f-5f9a-4f11-9c68-b6af05eac78c.png)"
   ]
  },
  {
   "attachments": {
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     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "6b388f0d-ff4a-44b6-95b2-03e092d28521",
   "metadata": {},
   "source": [
    "# Independent Events\n",
    "\n",
    "![image.png](attachment:35ab0e7d-385f-424e-9068-28ce9b9bd255.png)"
   ]
  },
  {
   "attachments": {
    "a6c7dac4-572e-46e5-97b2-6c7546915cfa.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "c24a53f5-4636-4749-8c8a-2cafca666863",
   "metadata": {},
   "source": [
    "# Dependent Events\n",
    "\n",
    "![image.png](attachment:a6c7dac4-572e-46e5-97b2-6c7546915cfa.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7454a98a-842f-4369-bb7b-250fbcf7d110",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.8.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
