31:[] 2f:{"title":"Conditional Probability","cells":[{"id":0,"value":"md`# Conditional Probability`","pinned":false,"hidden":false,"mode":"ojs"},{"id":22,"value":"html`

Exercise 1

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":25,"value":"html`The experiment is rolling a die. Let A be the event of getting an odd number. Let B be the event of getting a prime number. Determine the following:`","pinned":false,"hidden":false,"mode":"ojs"},{"id":29,"value":"tex`P(A)`","pinned":false,"hidden":false,"mode":"ojs"},{"id":41,"value":"3/6","pinned":false,"hidden":false,"mode":"ojs"},{"id":31,"value":"tex`P(B)`","pinned":false,"hidden":false,"mode":"ojs"},{"id":44,"value":"3/6","pinned":false,"hidden":false,"mode":"ojs"},{"id":33,"value":"tex`P(A|B)`","pinned":false,"hidden":false,"mode":"ojs"},{"id":47,"value":"2/3","pinned":false,"hidden":false,"mode":"ojs"},{"id":35,"value":"tex`P(B|A)`","pinned":false,"hidden":false,"mode":"ojs"},{"id":50,"value":"2/3\n","pinned":false,"hidden":false,"mode":"ojs"},{"id":53,"value":"html`

Exercise 2

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":56,"value":"html`The experiment is rolling two dice. Let A be the event of rolling at least one 3. Let B be the event of rolling a sum of 7. Determine the following:`","pinned":false,"hidden":false,"mode":"ojs"},{"id":57,"value":"tex`P(A)`","pinned":false,"hidden":false,"mode":"ojs"},{"id":73,"value":"11/36","pinned":false,"hidden":false,"mode":"ojs"},{"id":60,"value":"tex`P(B)`","pinned":false,"hidden":false,"mode":"ojs"},{"id":76,"value":"6/36","pinned":false,"hidden":false,"mode":"ojs"},{"id":62,"value":"tex`P(A|B)`","pinned":false,"hidden":false,"mode":"ojs"},{"id":79,"value":"2/6","pinned":false,"hidden":false,"mode":"ojs"},{"id":64,"value":"tex`P(B|A)`","pinned":false,"hidden":false,"mode":"ojs"},{"id":82,"value":"2/11","pinned":false,"hidden":false,"mode":"ojs"},{"id":85,"value":"html`

Exercise 3

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":88,"value":"roll = function(){\n return {r1:math.randomInt(1,7),r2:math.randomInt(1,7)}\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":107,"value":"html`

Exercise 4

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":110,"value":"checkThree = function(roll){\n if(roll.r1 == 3 || roll.r2 == 3){\n return true\n }else{\n return false\n }\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":135,"value":"html`

Exercise 5

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":154,"value":"checkSumSeven = function(roll){\n const sum = roll.r1 + roll.r2\n if(sum == 7){\n return true\n }else{\n return false\n }\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":172,"value":"html`

Exercise 6

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":175,"value":"{\n const outcomes = []\n for(let i = 1; i <= 1000; i = i + 1){\n outcomes.push(roll())\n }\n return outcomes\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":186,"value":"html`

Exercise 7

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":193,"value":"{\n const outcomes = []\n for(let i = 1; i <= 10000; i = i + 1){\n const trial = roll()\n if(checkThree(trial) == true){\n outcomes.push(1)\n }else{\n outcomes.push(0)\n }\n }\n return d3.mean(outcomes)\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":202,"value":"html`

Exercise 8

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":206,"value":"{\n const outcomes = []\n for(let i = 1; i <= 100000; i = i + 1){\n const trial = roll()\n if(checkSumSeven(trial) == true){\n outcomes.push(1)\n }else{\n outcomes.push(0)\n }\n }\n return d3.mean(outcomes)\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":212,"value":"html`

Exercise 9

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":217,"value":"{\n const outcomes = []\n for(let i = 1; i <= 100000; i = i + 1){\n const trial = roll()\n if(checkSumSeven(trial) == true && checkThree(trial) == true){\n outcomes.push(1)\n }\n if(checkSumSeven(trial) == true && checkThree(trial) == false){\n outcomes.push(0)\n }\n }\n return d3.mean(outcomes)\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":5,"value":"html`

Libraries

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":7,"value":"d3 = require(\"d3@5\")","pinned":false,"hidden":false,"mode":"ojs"},{"id":9,"value":"import {slider,button,select,text,radio,checkbox,number} from \"@jashkenas/inputs\"","pinned":false,"hidden":false,"mode":"ojs"},{"id":11,"value":"math = require('mathjs@6.2.1/dist/math.js')","pinned":false,"hidden":false,"mode":"ojs"},{"id":13,"value":"stat = require('simple-statistics@7.3.0/dist/simple-statistics.min.js')\n","pinned":false,"hidden":false,"mode":"ojs"}],"files":"$W31","stdlib":"1","titling":"auto"}