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[lab-intro-prob] Dulce Oliveira #205

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98 changes: 77 additions & 21 deletions your-code/main.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -23,9 +23,8 @@
"metadata": {},
"outputs": [],
"source": [
"\"\"\"\n",
"your solution here\n",
"\"\"\""
"# 𝑃(𝐴∪𝐵)=0.6\n",
"# 𝑃(𝐴𝐶∩𝐵𝐶)=0.3"
]
},
{
Expand All @@ -44,13 +43,38 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 6,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Probability of a white ball out: 0.3333333333333333\n",
"Probability of taking a white ball after taking a black ball: 0.09195402298850575\n",
"Probability of taking a red ball after taking a black and a red ball: 0.04334975369458128\n",
"Probability of taking a red ball after taking a black and a red ball put it back: 0.04266666666666667\n"
]
}
],
"source": [
"\"\"\"\n",
"your solution here\n",
"\"\"\""
"total_white = 10\n",
"total_black = 8\n",
"total_red = 12\n",
"total_balls = total_white + total_black + total_red\n",
"\n",
"prob_white = total_white / total_balls\n",
"\n",
"prob_white_after_black = (total_white / (total_balls - 1)) * (total_black / total_balls)\n",
"\n",
"prob_red_after_black_and_red = (total_red / (total_balls - 2)) * (total_black / (total_balls - 1)) * (total_red - 1) / total_balls\n",
"\n",
"prob_red_after_black_and_red_put_back = (total_red / total_balls) * (total_black / total_balls) * (total_red / total_balls)\n",
"\n",
"print(\"Probability of a white ball out:\", prob_white)\n",
"print(\"Probability of taking a white ball after taking a black ball:\", prob_white_after_black)\n",
"print(\"Probability of taking a red ball after taking a black and a red ball:\", prob_red_after_black_and_red)\n",
"print(\"Probability of taking a red ball after taking a black and a red ball put it back:\", prob_red_after_black_and_red_put_back)"
]
},
{
Expand All @@ -70,13 +94,25 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 4,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Probability of rain given that the day started cloudy: 0.125\n"
]
}
],
"source": [
"\"\"\"\n",
"your solution here\n",
"\"\"\""
"p_rain = 0.10 \n",
"p_cloudy_if_rain = 0.50 \n",
"p_cloudy = 0.40 \n",
"\n",
"p_rain_given_cloudy = (p_cloudy_if_rain * p_rain) / p_cloudy\n",
"\n",
"print(\"Probability of rain given that the day started cloudy:\", p_rain_given_cloudy)"
]
},
{
Expand All @@ -102,11 +138,33 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 1,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Yes No Total\n",
"Gender \n",
"Men 324 156 480\n",
"Women 351 169 520\n",
"Total 675 325 1000\n"
]
}
],
"source": [
"# your code here"
"answers = {\n",
" 'Gender': ['Men', 'Women', 'Total'],\n",
" 'Yes': [324, 351, 675],\n",
" 'No': [156, 169, 325],\n",
" 'Total': [480, 520, 1000]\n",
"}\n",
"\n",
"contingency_table = pd.DataFrame(answers)\n",
"contingency_table = contingency_table.set_index('Gender')\n",
"\n",
"print(contingency_table)"
]
},
{
Expand All @@ -115,15 +173,13 @@
"metadata": {},
"outputs": [],
"source": [
"\"\"\"\n",
"your solution here\n",
"\"\"\""
"# The probability of wanting more street lighting does not depend on whether the respondent is male or female."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
Expand All @@ -137,7 +193,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.2"
"version": "3.10.9"
}
},
"nbformat": 4,
Expand Down