From 7479c6f0189f66ac4614bc4c3d2d5eab3e6561b5 Mon Sep 17 00:00:00 2001
From: Tiago Mateus <tapmateus@gmail.com>
Date: Wed, 15 Nov 2023 11:36:50 +0000
Subject: [PATCH] lab done

---
 your-code/main.ipynb | 103 +++++++++++++++++++++++++++++++++++--------
 1 file changed, 84 insertions(+), 19 deletions(-)

diff --git a/your-code/main.ipynb b/your-code/main.ipynb
index b8b7a9c..c51d115 100644
--- a/your-code/main.ipynb
+++ b/your-code/main.ipynb
@@ -24,7 +24,11 @@
    "outputs": [],
    "source": [
     "\"\"\"\n",
-    "your solution here\n",
+    "𝑃(𝐴∪𝐵) = 0.8 false\n",
+    "𝑃(𝐴∩𝐵𝐶) = 0.9 false\n",
+    "𝑃(𝐴∩(𝐵∪𝐵𝐶)) = 0.3 false\n",
+    "𝑃(𝐴𝐶∩𝐵𝐶)=0.3 true\n",
+    "𝑃((𝐴∩𝐵)𝐶) = 0.9 true\n",
     "\"\"\""
    ]
   },
@@ -44,13 +48,40 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 8,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.03515625"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
-    "\"\"\"\n",
-    "your solution here\n",
-    "\"\"\""
+    "white = 12\n",
+    "red = 12\n",
+    "black = 8\n",
+    "\n",
+    "total = white + black + red\n",
+    "\n",
+    "#1.\n",
+    "pred = white / total\n",
+    "\n",
+    "#2.\n",
+    "pblack = black / total\n",
+    "\n",
+    "p2 = pblack * (red / (total - 1))\n",
+    "\n",
+    "#3.\n",
+    "p3 = p2 * ((red - 1)/(total - 2))\n",
+    "\n",
+    "#4.\n",
+    "p4 = pred * pred * pblack"
    ]
   },
   {
@@ -70,13 +101,27 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 9,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.125"
+      ]
+     },
+     "execution_count": 9,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
-    "\"\"\"\n",
-    "your solution here\n",
-    "\"\"\""
+    "pcloudy = 0.4\n",
+    "prainy = 0.1\n",
+    "pcar = 0.5\n",
+    "\n",
+    "prac = (pcar * prainy) / pcloudy\n",
+    "prac"
    ]
   },
   {
@@ -106,24 +151,44 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "# your code here"
+    "# if independent p(a) = p(a|b) e p(b) = p(b|a) AND p(a.int.b) = p(a) * p(b)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 28,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "True"
+      ]
+     },
+     "execution_count": 28,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
-    "\"\"\"\n",
-    "your solution here\n",
-    "\"\"\""
+    "pyes = (324 + 351) /(520 + 480)\n",
+    "\n",
+    "pyesmen = 324 / 480\n",
+    "\n",
+    "pmen = 0.48\n",
+    "\n",
+    "pmenyes = (pyesmen * pmen) / pyes\n",
+    "\n",
+    "pmenyes == pmen\n",
+    "pyesmen == pyes\n",
+    "\n",
+    "# if true they are independent"
    ]
   }
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "Python 3 (ipykernel)",
    "language": "python",
    "name": "python3"
   },
@@ -137,7 +202,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.7.2"
+   "version": "3.10.9"
   }
  },
  "nbformat": 4,