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147 changes: 133 additions & 14 deletions your-code/main.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -10,11 +10,24 @@
"A and B are events of a probability space with $(\\omega, \\sigma, P)$ such that $P(A) = 0.3$, $P(B) = 0.6$ and $P(A \\cap B) = 0.1$\n",
"\n",
"Which of the following statements are false?\n",
"* $P(A \\cup B) = 0.6$\n",
"* $P(A \\cap B^{C}) = 0.2$\n",
"* $P(A \\cap (B \\cup B^{C})) = 0.4$\n",
"* $P(A^{C} \\cap B^{C}) = 0.3$\n",
"* $P((A \\cap B)^{C}) = 0.9$"
"* 1. $P(A \\cup B) = 0.6$\n",
"* 2. $P(A \\cap B^{C}) = 0.2$\n",
"* 3. $P(A \\cap (B \\cup B^{C})) = 0.4$\n",
"* 4. $P(A^{C} \\cap B^{C}) = 0.3$\n",
"* 5. $P((A \\cap B)^{C}) = 0.9$"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# P(A) = 0.3\n",
"# P(B) = 0.6\n",
"\n",
"# P(A and B) = 0.1\n",
"\n"
]
},
{
Expand All @@ -24,15 +37,19 @@
"outputs": [],
"source": [
"\"\"\"\n",
"your solution here\n",
"1. Wrong (0.8)\n",
"2. correct\n",
"3. Wrong (0.3)\n",
"4. Wrong (0.2)\n",
"5. Correct\n",
"\"\"\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Challenge 2\n",
"# Challenge 2\n",
"There is a box with 10 white balls, 12 red balls and 8 black balls. Calculate the probability of:\n",
"* Taking a white ball out.\n",
"* Taking a white ball out after taking a black ball out.\n",
Expand All @@ -49,7 +66,17 @@
"outputs": [],
"source": [
"\"\"\"\n",
"your solution here\n",
"w = 10\n",
"r = 12\n",
"b = 8\n",
"\n",
"total = 30\n",
"\n",
"Task:\n",
"1. 8/30\n",
"2. 8/29\n",
"3. 11/28\n",
"4. 12/30\n",
"\"\"\""
]
},
Expand All @@ -75,7 +102,16 @@
"outputs": [],
"source": [
"\"\"\"\n",
"your solution here\n",
"P(C|R) = 0.5\n",
"P(C) = 0.4\n",
"P(R) = 0.3\n",
"\n",
"\n",
"\n",
"P(R|C) = P(C and R) / P(C)\n",
"P(R|C) = 0.4*0.3 / 0.4\n",
"P(R|C) = 0.12 / 0.4\n",
"P(R|C) = 0.3\n",
"\"\"\""
]
},
Expand All @@ -102,11 +138,94 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"total = 1000\n",
"\n",
"m = 480\n",
"nm = 520\n",
"\n",
"m_y = 324\n",
"nm_y = 351\n",
"\n",
"m_n = 156\n",
"nm_y = 169\n",
"\n",
"y = m_y + nm_y\n",
"n = m_n + nm_y"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# your code here"
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Yes</th>\n",
" <th>No</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>men</th>\n",
" <td>0.675</td>\n",
" <td>0.325</td>\n",
" </tr>\n",
" <tr>\n",
" <th>women</th>\n",
" <td>0.675</td>\n",
" <td>0.325</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Yes No\n",
"men 0.675 0.325\n",
"women 0.675 0.325"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mydict = {\"Yes\": [324/480, 351/520], \"No\" : [156/480, 169/520] }\n",
"mylist = [\"men\", \"women\"]\n",
"pd.DataFrame(mydict, index = mylist)\n"
]
},
{
Expand All @@ -116,14 +235,14 @@
"outputs": [],
"source": [
"\"\"\"\n",
"your solution here\n",
"the output is not affected by the gender that means that they are not dependent\n",
"\"\"\""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
Expand All @@ -137,7 +256,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.2"
"version": "3.11.4"
}
},
"nbformat": 4,
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