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render = function render(){var _vm=this,_c=_vm._self._c;return _c('div',[_c('h3',{ref:\"intro\"},[_vm._v(\"\\n What is Probability?\\n \")]),_vm._m(0),_c('h3',{ref:\"types\"},[_vm._v(\"\\n Finding Probability of an Event\\n \")]),_vm._m(1),_vm._m(2),_c('h3',{ref:\"pg\"},[_vm._v(\"\\n MagicGraph | Probability in Toss of Two Coins\\n \")]),_c('br'),_c('h5',[_vm._v(\"Getting Started\")]),_vm._m(3),_c('h5',[_vm._v(\" Icons on the MagicGraph \")]),_vm._m(4),_c('br'),_c('v-responsive',[_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('div',{staticClass:\"edliy-box-about\",attrs:{\"id\":\"jxgbox1\"}})])],1)],1)\n}\nvar staticRenderFns = [function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"mt-2\"},[_vm._v(\"\\n Probability, stated in simple terms, is a way to determine the likelihood of the occurrence of a given event.\\n The higher the probability of a given event, the greater the likelihood of occurrence of that event, and vice-versa.\\n \"),_c('br'),_vm._v(\"\\n Numerically, the probability of an event is expressed as a number between 0 and 1. Probability of 0 means that the event is impossible while a probability of 1 implies that the event is certain (absolutely likely to happen).\\n \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"mt-2\"},[_vm._v(\"\\n Let's consider a random experiment (say rolling of a die) that can give multiple outcomes (for example — the rolling of a die can give 1, 2, 3, 4, 5, or 6).\\n \"),_c('br'),_vm._v(\"\\n Let's say we have to calculate the probability of occurrence of a given outcome (say getting a 2). Below are the steps to find this probability.\\n \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('ul',{staticClass:\"a mx-3\"},[_c('li',[_c('h5',[_vm._v(\" Step 1: Total Number of Possible Outcomes (\"),_c('i',[_vm._v(\"N\")]),_vm._v(\" )\")])]),_c('p',[_vm._v(\"\\n Start with finding the number of all possible outcomes that can come\\n out of the random experiment. Let's call this number \"),_c('i',[_vm._v(\"N\")]),_vm._v(\".\\n \")]),_c('li',[_c('h5',[_vm._v(\" Step 2: Number of Favorable Outcomes (\"),_c('i',[_vm._v(\"n\")]),_vm._v(\" ) \")])]),_c('p',[_vm._v(\"\\n Next, we calculate the number of ways in which the given event can occur.\\n Let's call this number \"),_c('i',[_vm._v(\"M\")]),_vm._v(\".\\n \")]),_c('li',[_c('h5',[_vm._v(\" Step 3: Calculate the Ratio \"),_c('i',[_vm._v(\"M\")]),_vm._v(\" over \"),_c('i',[_vm._v(\"N\")])])]),_c('p',[_vm._v(\"\\n Calculate the ratio of \\\\(M\\\\) over \\\\(N\\\\). This ratio gives the probability of occurrence of that event.\\n $$\\\\text{Probability of Event A=}P(A) = \\\\frac{M}{N}$$\\n \")])])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"mt-2\"},[_vm._v(\"\\n Here you're given two different coins — a golden coin and a silver coin.\"),_c('br'),_vm._v(\"\\n Tossing of the golden coin gives one of two outcomes — heads \"),_c('i',{staticClass:\"dollarHead ma-1\"}),_vm._v(\" or tails \"),_c('i',{staticClass:\"dollarTail ma-1\"}),_vm._v(\".\\n Similarly, tossing of the silver coin gives one of two outcomes — heads \"),_c('i',{staticClass:\"euroHead ma-1\"}),_vm._v(\" or tails \"),_c('i',{staticClass:\"euroTail ma-1\"}),_vm._v(\".\\n \"),_c('br'),_vm._v(\"\\n In this MagicGraph, you will learn, in a step by step manner, how to find the probability of getting a certain combintation (e.g. getting one tails, or getting two heads etc.) in toss of two coins.\\n \"),_c('br')])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',[_vm._v(\"\\n You can tap on \"),_c('i',{staticClass:\"shuffler ma-1\"}),_vm._v(\" icon to shuffle between different events.\\n You can tap on the \"),_c('i',{staticClass:\"eraser ma-1\"}),_vm._v(\" icon to erase and start over.\\n Tap on the \"),_c('i',{staticClass:\"next ma-1\"}),_vm._v(\" icon to go to the next step.\\n To go to the previous step, tap on the \"),_c('i',{staticClass:\"previous ma-1\"}),_vm._v(\" icon.\\n \")])\n}]\n\nexport { render, staticRenderFns }","// Import the edliy_utils\r\nimport {\r\n makeResponsive,\r\n placeTitle,\r\n placeImage,\r\n placeInput,\r\n placeSlider,\r\n hoverMe,\r\n placeRec,\r\n hiddenPt,\r\n fixedPt,\r\n clearInputFields,\r\n dragMe,\r\n placeArrow,\r\n placeGravity,\r\n placeMiddleText,\r\n placeLine,\r\n placeGlider,\r\n placeRuler,\r\n placeLeftText,\r\n placeRightText,\r\n placeSliderSwitch,\r\n placeCircle,\r\n placeLogo,\r\n placeShuffle,\r\n placeTest,\r\n placeUndo,\r\n placeRedo,\r\n placeBoldText,\r\n placeBoldLeftText,\r\n placeErase,\r\n drawPoint,\r\n setSize,\r\n createSpace\r\n} from '../Utils';\r\nconst Boxes = {\r\n box1: function () {\r\n\tJXG.Options.board.minimizeReflow = 'none';\r\n JXG.Options.point.showInfoBox=false;\r\n JXG.Options.point.highlight=false;\r\n JXG.Options.image.highlight=false;\r\n JXG.Options.text.highlight=false;\r\n JXG.Options.text.fixed=true;\r\n JXG.Options.curve.highlight=false;\r\n JXG.Options.text.cssDefaultStyle='fontFamily:Oswald;'\r\n var brd1 = createSpace(-5,7,-7,5);\r\n //brd1.suspendUpdate();\r\n makeResponsive(brd1);\r\n brd1.options.layer['image'] =12;\r\n brd1.options.layer['circle'] =13;\r\n brd1.options.layer['chart'] =14;\r\n brd1.options.layer['sector'] =15;\r\n brd1.options.layer['line'] =15;\r\n//\tbrd1.create('text', [6, 11.5, 'Fraction'],{highlight:false, display:'internal', anchorX:'middle', anchorY:'middle', CssStyle:'fontFamily:Oswald;fontWeight:bold',fontSize:function(){return Math.round(32*brd1.canvasWidth/800.)}, fixed:true});\r\n placeTitle(brd1, 'Toss of Two Coins', '');\r\n placeLogo(brd1);\r\n ////////////////////////////////////////////////////////////////////////////////\r\n var analytics = placeUndo(brd1,'left');\r\n analytics.setAttribute({visible:()=>i>0})\r\n analytics.setLabel('Tap to Go to Previous Step');\r\n analytics.label.setAttribute({visible:false, alignX:'middle', offset:[0, -15], CssStyle:'fontFamily:Oswald', fontSize:12});\r\n analytics.on('over', function () {this.label.setAttribute({visible:true});});\r\n analytics.on('out', function () {this.label.setAttribute({visible:false});});\r\n ////////////////////////////////////////////////////\r\n var erase = placeRedo(brd1);\r\n erase.setLabel('Tap to Go to Next Step')\r\n erase.setAttribute({visible:()=>i<3})\r\n erase.label.setAttribute({visible:false, alignX:'middle', offset:[0, -15], CssStyle:'fontFamily:Oswald', fontSize:12});\r\n erase.on('over', function () {this.label.setAttribute({visible:true});});\r\n erase.on('out', function () {this.label.setAttribute({visible:false});});\r\n /////////////////////////////////////////////////////////////////////////////\r\n var shuffle = placeShuffle(brd1,'left');\r\n shuffle.setAttribute({visible:()=>i==0})\r\n shuffle.setLabel('Tap to Shuffle Events');\r\n shuffle.label.setAttribute({visible:false, alignX:'middle', offset:[0, -15], CssStyle:'fontFamily:Oswald', fontSize:12});\r\n shuffle.on('over', function () {this.label.setAttribute({visible:true});});\r\n shuffle.on('out', function () {this.label.setAttribute({visible:false});});\r\n///////////////////////////////////////////////////////////////////////////////////\r\n var shuffle2 = placeErase(brd1);\r\n shuffle2.setAttribute({visible:()=>i==3})\r\n shuffle2.setLabel('Tap to Start Over');\r\n shuffle2.label.setAttribute({visible:false, alignX:'middle', offset:[0, -15], CssStyle:'fontFamily:Oswald', fontSize:12});\r\n shuffle2.on('over', function () {this.label.setAttribute({visible:true});});\r\n shuffle2.on('out', function () {this.label.setAttribute({visible:false});});\r\n var i=0; var j=0; var N=4;\r\n var n=[2, 3, 1, 3, 4];\r\n var dice=[];\r\n var Hidd = drawPoint(brd1, -3, 6.5+3);\r\n setSize(brd1,Hidd,0);\r\n var Hid = drawPoint(brd1, -3, 6.5+6);\r\n setSize(brd1, Hid,0);\r\n //Red Dice\r\n dice[0] = placeImage(brd1, '/assets/dollarHead.svg', -3, ()=>Hidd.Y());//\r\n //dice[0].setAttribute({visible:()=>i>0});\r\n dice[1] =placeImage(brd1, '/assets/euroHead.svg', -3, ()=>Hidd.Y()-1);//\r\n //dice[1].setAttribute({visible:()=>i>0});\r\n dice[2] =placeImage(brd1, '/assets/dollarHead.svg', -1, ()=>Hidd.Y());//\r\n //dice[2].setAttribute({visible:()=>i>0});\r\n dice[3] =placeImage(brd1, '/assets/euroTail.svg', -1, ()=>Hidd.Y()-1);//\r\n //dice[3].setAttribute({visible:()=>i>0});\r\n dice[4] =placeImage(brd1, '/assets/dollarTail.svg', 1, ()=>Hidd.Y());//\r\n //dice[4].setAttribute({visible:()=>i>0});\r\n dice[5] =placeImage(brd1, '/assets/euroHead.svg', 1, ()=>Hidd.Y()-1);//\r\n dice[6] =placeImage(brd1, '/assets/dollarTail.svg', 3., ()=>Hidd.Y());//\r\n //dice[4].setAttribute({visible:()=>i>0});\r\n dice[7] =placeImage(brd1, '/assets/euroTail.svg', 3., ()=>Hidd.Y()-1);//\r\n //dice[5].setAttribute({visible:()=>i>0});\r\n var Event = [];\r\n Event[0] = placeBoldText(brd1, 1, 3.5, 'Probability of getting exactly one heads?');\r\n Event[0].setAttribute({visible:()=>j==0, color:'blue'});\r\n Event[1] = placeBoldText(brd1, 1, 3.5, 'Probability of getting atleast one heads?');\r\n Event[1].setAttribute({visible:()=>j==1, color:'blue'});\r\n Event[2] = placeBoldText(brd1, 1, 3.5, 'Probability of getting two heads?');\r\n Event[2].setAttribute({visible:()=>j==2, color:'blue'});\r\n Event[3] = placeBoldText(brd1, 1, 3.5, 'Probability of getting atleast one tails?');\r\n Event[3].setAttribute({visible:()=>j==3, color:'blue'});\r\n Event[4] = placeBoldText(brd1, 1, 3.5, 'Probability of getting two tails?');\r\n Event[4].setAttribute({visible:()=>j==4, color:'blue'});\r\n//Step#1\r\n var eggOne = placeImage(brd1, '/assets/eggOne.svg',-4.25, 2.1);\r\n eggOne.setSize(0.8, 0.8);\r\n eggOne.setAttribute({visible:()=>i>0});\r\n var step1 = placeBoldLeftText(brd1, -3.25, 2.5, 'Start with all possible outcomes');\r\n step1.setAttribute({visible:()=>i>0});\r\n var Mvalue= placeBoldLeftText(brd1, 4.5, ()=>Hidd.Y(), 'N = 4');\r\n Mvalue.setAttribute({visible:()=>i>0});\r\n//Step#2\r\n var eggTwo = placeImage(brd1, '/assets/eggTwo.svg',-4.25, -0.9);\r\n eggTwo.setAttribute({visible:()=>i>1});\r\n eggTwo.setSize(0.8, 0.8);\r\n var step2 = placeBoldLeftText(brd1, -3.25, -0.5, 'Find outcomes that belong to the event ');\r\n step2.setAttribute({visible:()=>i>1});\r\n var Nvalue= placeBoldLeftText(brd1, 4.5, ()=>Hid.Y(), ()=>'M = '+n[j]);\r\n Nvalue.setAttribute({visible:()=>i>0});\r\n////////////////////////////////////////////////////////////////////////\r\n//Step#3\r\n var eggThree = placeImage(brd1, '/assets/eggThree.svg',-4.25, -3.9);\r\n eggThree.setAttribute({visible:()=>i>2});\r\n eggThree.setSize(0.8, 0.8);\r\n var step3 =placeBoldLeftText(brd1, -3.25, -3.5, 'Find ratio M over N');\r\n step3.setAttribute({visible:()=>i>2});\r\n///////////////////////////////////////////////////////////////////////////////\r\n var step4 = placeBoldText(brd1, 0, -4.5, ()=>'P(Event) = '+n[j]+'/'+N);\r\n step4.setAttribute({visible:()=>i>2});\r\n///////////////////////////////////////////////////////////////////////////////\r\n\r\n var even=[]; var odd=[];\r\n even[0] = placeImage(brd1, '/assets/dollarHead.svg', -3, ()=>Hid.Y());//\r\n even[0].setAttribute({visible:()=>j==1 || j==2 });\r\n odd[0] = placeImage(brd1, '/assets/euroHead.svg', -3, ()=>Hid.Y()-1);\r\n odd[0].setAttribute({visible:()=>j==1 || j==2 });\r\n even[1] = placeImage(brd1, '/assets/dollarHead.svg', -1, ()=>Hid.Y());\r\n even[1].setAttribute({visible:()=>j==0 || j==1 || j==3});\r\n odd[1] = placeImage(brd1, '/assets/euroTail.svg', -1, ()=>Hid.Y()-1);\r\n odd[1].setAttribute({visible:()=>j==0 || j==1 || j==3});\r\n even[2] = placeImage(brd1, '/assets/dollarTail.svg', 1, ()=>Hid.Y());//\r\n even[2].setAttribute({visible:()=>j==0 || j==1 || j==3});\r\n odd[2] = placeImage(brd1, '/assets/euroHead.svg', 1, ()=>Hid.Y()-1);//\r\n odd[2].setAttribute({visible:()=>j==0 || j==1 || j==3});\r\n even[3] = placeImage(brd1, '/assets/dollarTail.svg',3, ()=>Hid.Y());//\r\n even[3].setAttribute({visible:()=>j==4 || j==3 });\r\n odd[3] = placeImage(brd1, '/assets/euroTail.svg', 3, ()=>Hid.Y()-1);//\r\n odd[3].setAttribute({visible:()=>j==4 || j==3});\r\n\r\n///////////////////////////////TAP OPERATIONS ////////////////////////////////\r\nanalytics.on('down', function(){\r\n if(i==2){\r\n Hid.moveTo([-3, 6.5-1], 300);\r\n }\r\n if(i==1){\r\n Hidd.moveTo([-3, 6.5+6], 300);\r\n Hid.moveTo([-3, 6.5+6], 300);\r\n }\r\n if(i>0)\r\n {\r\n i-=1;\r\n }\r\n else\r\n {\r\n i=0;\r\n }\r\n});\r\n/////////////////////////////////////OPERATION 2 /////////////////////////////////\r\nerase.on('down', function(){\r\n if(i==0){\r\n Hidd.moveTo([-3, 1], 300);\r\n }\r\n if(i==1){\r\n Hid.moveTo([-3, -2], 300);\r\n }\r\n else if(i==0)\r\n {\r\n Hid.moveTo([-3, 8.5-1], 300);\r\n }\r\n if(i<3)\r\n {\r\n i+=1;\r\n }\r\n else\r\n {\r\n i=3;\r\n }\r\n})\r\n///////////////////////////////////////////OPERATION 3 //////////////////////////////////////\r\nshuffle.on('down', function(){\r\n Hidd.moveTo([-3, 6.5+6], 300);\r\n Hid.moveTo([-3, 6.5+6], 300);\r\n i=0;\r\n if(j<4)\r\n {\r\n j+=1;\r\n }\r\n else\r\n {\r\n j=0;\r\n }\r\n})\r\nshuffle2.on('down', function(){\r\n Hidd.moveTo([-3, 6.5+6], 300);\r\n Hid.moveTo([-3, 6.5+6], 300);\r\n i=0;\r\n})\r\n////////////////////////////////////////////END OF OPERATIONS///////////////////////////////\r\n//brd1.unsuspendUpdate();\r\n},\r\n}\r\nexport default Boxes;\r\n","\r\n\r\n\r\n\r\n","import mod from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"; export default mod; export * from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"","import { render, staticRenderFns } from \"./Lesson.vue?vue&type=template&id=11d0ee0c&\"\nimport script from \"./Lesson.vue?vue&type=script&lang=js&\"\nexport * from \"./Lesson.vue?vue&type=script&lang=js&\"\nimport style0 from \"./Lesson.vue?vue&type=style&index=0&id=11d0ee0c&prod&lang=scss&\"\n\n\n/* normalize component */\nimport normalizer from \"!../../../../../node_modules/vue-loader/lib/runtime/componentNormalizer.js\"\nvar component = normalizer(\n script,\n render,\n staticRenderFns,\n false,\n null,\n null,\n null\n \n)\n\nexport default component.exports","export * from \"-!../../../../../node_modules/mini-css-extract-plugin/dist/loader.js??ref--8-oneOf-1-0!../../../../../node_modules/css-loader/index.js??ref--8-oneOf-1-1!../../../../../node_modules/vue-loader/lib/loaders/stylePostLoader.js!../../../../../node_modules/postcss-loader/src/index.js??ref--8-oneOf-1-2!../../../../../node_modules/sass-loader/dist/cjs.js??ref--8-oneOf-1-3!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=style&index=0&id=11d0ee0c&prod&lang=scss&\""],"sourceRoot":""}