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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 \")]),_c('p',[_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 Numerically, the probability of getting a given outcome is expressed as a number between 0 and 1.\\n Probability of 0 means that the outcome is impossible while a probability of 1 implies that the outcome is certain (absolutely likely to happen).\\n \")]),_c('h3',{ref:\"types\"},[_vm._v(\"\\n Finding Probability of an Event\\n \")]),_c('p',[_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 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 \")]),_vm._m(0),_c('h3',{ref:\"pg\"},[_vm._v(\"\\n MagicGraph | Understanding Fractional Numbers\\n \")]),_c('p',[_vm._v(\"\\n In this MagicGraph, you will learn step by step how to calculate the probability of getting an even outcome in a game of dice.\\n You will start with picking all possible outcomes from roll of a die. Then, you will pick the outcomes that give an even number.\\n Finally, you will calculate the probability as the ratio of even outcomes to all outcomes. \\n \")]),_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('ul',{staticClass:\"a\"},[_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 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 desired outcome can be obtained. Let's call this number \"),_c('i',[_vm._v(\"n\")]),_vm._v(\".\\n \")]),_c('li',[_c('h5',[_vm._v(\" Step 3: Calculate the Ratio \"),_c('i',[_vm._v(\"n\")]),_vm._v(\" over \"),_c('i',[_vm._v(\"N\")])])]),_c('p',[_vm._v(\"\\n Calculate the ratio of \\\\(n\\\\) over \\\\(N\\\\). This ratio gives the probability of event A.\\n $$\\\\text{Probability of Event A=}P(A) = \\\\frac{n}{N}$$\\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 placePoint,\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} from '../../../../common/edliy_utils-geometric';\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 = JXG.JSXGraph.initBoard('jxgbox1',{boundingbox: [-4, 11, 10, -3],keepaspectratio: true, axis:false, ticks:true, grid:true, showCopyright:false, showNavigation:false, pan:{enabled:false}, zoom:{enabled:false}});\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, 'Probability of A or B', '(Probability of Two Events)');\r\n placeLogo(brd1);\r\n var reload = placeShuffle(brd1);\r\n var test = placeTest(brd1);\r\n //var num =placeInput(brd1, 8, 4.5, 1);\r\n //var den=placeInput(brd1, 8, 3.5, 4);\r\n //hoverMe(brd1, num, 'Numerator', 15, 40);\r\n //hoverMe(brd1, den, 'Denominator', 15, -40);\r\n //placeLine(brd1, [8, 4], [9,4], 4, 'black');\r\n //placeText(brd1, 7, 4, 24, 'Fraction =')\r\n //var dataArr=[()=>num.Value(), ()=>den.Value()-num.Value()];\r\n var lenArr = [2, 7, 4, 5, 3, 6, 8];\r\n var fracArr = [1, 3, 3, 2, 2, 4, 5];\r\n //Red Dice\r\n placeImage(brd1, '/assets/dice-1-red.svg', -0.35-0.55, 6.5-1, 1,20);//\r\n placeImage(brd1, '/assets/dice-2-red.svg', 1.75-0.55, 6.5-1, 1,70);//\r\n placeImage(brd1, '/assets/dice-3-red.svg', 3.5-0.55, 6.65-1, 1,105);//\r\n placeImage(brd1, '/assets/dice-4-red.svg', 4.35-0.55, 6.5-1, 1,45);//\r\n placeImage(brd1, '/assets/dice-5-red.svg', 6.1-0.55, 6.5-1, 1, 70);//\r\n placeImage(brd1, '/assets/dice-6-red.svg', 8.0-0.55, 7.0-1, 1, 120);//\r\n//Grey Dice\r\n var dice1g = placeImage(brd1, '/assets/1grey.svg', -0.35-0.55, 6.5-1, 1, 20);//\r\n var dice2g = placeImage(brd1, '/assets/2grey.svg', 1.75-0.55, 6.5-1, 1,70);//\r\n var dice3g = placeImage(brd1, '/assets/3grey.svg', 3.5-0.55, 6.65-1, 1,105);//\r\n var dice4g = placeImage(brd1, '/assets/4grey.svg', 4.35-0.55, 6.5-1, 1,45);//\r\n var dice5g = placeImage(brd1, '/assets/5grey.svg', 6.1-0.55, 6.5-1, 1, 70);//\r\n var dice6g = placeImage(brd1, '/assets/6grey.svg', 8.0-0.55, 7.0-1, 1, 120);//\r\n//Green Dice\r\n placeImage(brd1, '/assets/dice-1-red.svg', -0.35-0.55, 6.5-4, 1, 20);//\r\n placeImage(brd1, '/assets/dice-2-red.svg', 1.75-0.55, 6.5-4, 1, 70);\r\n placeImage(brd1, '/assets/dice-3-red.svg', 3.5-0.55, 6.65-4, 1,105);\r\n placeImage(brd1, '/assets/dice-4-red.svg', 4.35-0.55, 6.5-4, 1,45);\r\n placeImage(brd1, '/assets/dice-5-red.svg', 6.1-0.55, 6.5-4, 1, 70);//\r\n placeImage(brd1, '/assets/dice-6-red.svg', 8.0-0.55, 7.0-4, 1, 120);//\r\n//Grey Dice\r\n var dice1gE = placeImage(brd1, '/assets/1grey.svg', -0.35-0.55, 6.5-4, 1, 20);//\r\n var dice2gE = placeImage(brd1, '/assets/2grey.svg', 1.75-0.55, 6.5-4, 1,70);//\r\n var dice3gE = placeImage(brd1, '/assets/3grey.svg', 3.5-0.55, 6.65-4, 1,105);//\r\n var dice4gE = placeImage(brd1, '/assets/4grey.svg', 4.35-0.55, 6.5-4, 1,45);//\r\n var dice5gE = placeImage(brd1, '/assets/5grey.svg', 6.1-0.55, 6.5-4, 1, 70);//\r\n var dice6gE = placeImage(brd1, '/assets/6grey.svg', 8.0-0.55, 7.0-4, 1, 120);//\r\n////////////////////////////////////////////////////\r\n var ir=0; var jr=0; var kr=0; var lr=0; var mr=0; var nr=0; var even=[0,0,0]; var odd=[0,0,0]; var select=[0,0,0,0,0,0];\r\n dice1g.on('down', function(){dice1g.setAttribute({fillOpacity:Math.abs(Math.sin(Math.PI*ir/2))}); ir+=1; select[0]=Math.abs(Math.sin(Math.PI*ir/2)); });\r\n dice2g.on('down', function(){dice2g.setAttribute({fillOpacity:Math.abs(Math.sin(Math.PI*jr/2))}); jr+=1; select[1]=Math.abs(Math.sin(Math.PI*jr/2)); });\r\n dice3g.on('down', function(){dice3g.setAttribute({fillOpacity:Math.abs(Math.sin(Math.PI*kr/2))}); kr+=1; select[2]=Math.abs(Math.sin(Math.PI*kr/2)); });\r\n dice4g.on('down', function(){dice4g.setAttribute({fillOpacity:Math.abs(Math.sin(Math.PI*lr/2))}); lr+=1; select[3]=Math.abs(Math.sin(Math.PI*lr/2)); });\r\n dice5g.on('down', function(){dice5g.setAttribute({fillOpacity:Math.abs(Math.sin(Math.PI*mr/2))}); mr+=1; select[4]=Math.abs(Math.sin(Math.PI*mr/2)); });\r\n dice6g.on('down', function(){dice6g.setAttribute({fillOpacity:Math.abs(Math.sin(Math.PI*nr/2))}); nr+=1; select[5]=Math.abs(Math.sin(Math.PI*nr/2)); });\r\n var ig=0; var jg=0; var kg=0; var lg=0; var mg=0; var ng=0;\r\n dice1gE.on('down', function(){dice1gE.setAttribute({fillOpacity:Math.abs(Math.sin(Math.PI*ig/2))}); ig+=1; odd[0]=Math.abs(Math.sin(Math.PI*ig/2));});\r\n dice2gE.on('down', function(){dice2gE.setAttribute({fillOpacity:Math.abs(Math.sin(Math.PI*jg/2))}); jg+=1; even[0]=Math.abs(Math.sin(Math.PI*jg/2));});\r\n dice3gE.on('down', function(){dice3gE.setAttribute({fillOpacity:Math.abs(Math.sin(Math.PI*kg/2))}); kg+=1; odd[1]=Math.abs(Math.sin(Math.PI*kg/2));});\r\n dice4gE.on('down', function(){dice4gE.setAttribute({fillOpacity:Math.abs(Math.sin(Math.PI*lg/2))}); lg+=1; even[1]=Math.abs(Math.sin(Math.PI*lg/2));});\r\n dice5gE.on('down', function(){dice5gE.setAttribute({fillOpacity:Math.abs(Math.sin(Math.PI*mg/2))}); mg+=1; odd[2]=Math.abs(Math.sin(Math.PI*mg/2));});\r\n dice6gE.on('down', function(){dice6gE.setAttribute({fillOpacity:Math.abs(Math.sin(Math.PI*ng/2))}); ng+=1; even[2]=Math.abs(Math.sin(Math.PI*ng/2));});\r\n placeMiddleText(brd1, 3, 7.5, 'Event A: Getting an Even Number');\r\n placeMiddleText(brd1, 3, 4.5, 'Event B: Getting a Number less than 5');\r\n var right1 = placeImage(brd1, '/assets/check.svg', 6,7.15,0.75,0);\r\n var right2 = placeImage(brd1, '/assets/check.svg', 6,4.15, 0.75, 0);\r\n var right3 = placeImage(brd1, '/assets/check.svg', 6,-0.25, 0.75, 0);\r\n\r\n right1.setAttribute({visible:function(){return select[0]+select[1]+select[2]+select[3]+select[4]+select[5]==6}});\r\n right2.setAttribute({visible:function(){return (even[0]+even[1]+even[2]==3) && (odd[0]+odd[1]+odd[2]<0.25)}});\r\n ////////////////////////////////////////////////////////////\r\n placeMiddleText(brd1, 3, 1.5, 'Step 3: Take the Ratio n over N');\r\n placeRightText(brd1, 2.8, 0., 'Probability (Even Outcome) =');\r\n var num =placeInput(brd1, 3.25, 0.5, '', '');\r\n var den = placeInput(brd1, 3.25, -0.5, '', '');\r\n placeLine(brd1, [3, 0], [5,0], 2, 'black');\r\n //var reload =brd1.create('image', ['/assets/shuffle.svg', [-2.25,3.4],[1.2, 1.2]], {opacity:1, fixed:true});\r\n test.setLabel('Tap to Test Your Answer')\r\n test.label.setAttribute({visible:false, alignX:'middle', offset:[0, -15], CssStyle:'fontFamily:Oswald', fontSize:12});\r\n test.on('over', function () {this.label.setAttribute({visible:true});});\r\n test.on('out', function () {this.label.setAttribute({visible:false});});\r\n right3.setAttribute({visible:function(){return (num.Value()/den.Value())==0.5}});\r\n //test.on('down', function(){let val = test(); if(num.Value()/den.Value()){right.setAttribute({visible:true})}else{wrong.setAttribute({visible:true})}});\r\n /////////////////////////////////////////////////////////////////////////////////////////////\r\n reload.setLabel('Tap to Shuffle')\r\n reload.label.setAttribute({visible:false, alignX:'middle', offset:[0, -15], CssStyle:'fontFamily:Oswald', fontSize:12});\r\n reload.on('over', function () {this.label.setAttribute({visible:true});});\r\n reload.on('out', function () {this.label.setAttribute({visible:false});});\r\n reload.on('down', function(){right.setAttribute({visible:false}); wrong.setAttribute({visible:false}); k=Math.min(k+1, 5);ini(); fun();});\r\n //brd1.create('text', [4, 6.5, 'Select slices that make'],{display:'internal', alignX:'right'});\r\n\r\n\r\n //ques.setText();\r\n //placeMiddleText(brd1, 3.0, 0.5, 'Click on a Slice to Select/Deselect it');\r\n /////////////////////////////////////////////////////////////////////////////////////////////\r\n //brd1.create('text', [()=>6+2.75*Math.cos(0.5*type1*2*Math.PI/(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf())), ()=>3+2.75*Math.sin(0.5*type1*2*Math.PI/(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf())), ()=>'Bulldog ('+type1.valueOf()+'/'+(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf())+')'],{display:'internal',anchorX:'middle', fixed:true, CssStyle:'fontFamily:Oswald', fontSize:function(){return Math.round(16*brd1.canvasWidth/800.)}});\r\n //brd1.create('text', [()=>6+2.75*Math.cos((type1+0.5*type2)*2*Math.PI/(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf())), ()=>3+2.75*Math.sin((type1+0.5*type2)*2*Math.PI/(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf())), ()=>'Doberman ('+type2.valueOf()+'/'+(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf()) +')' ],{display:'internal',anchorX:'middle', fixed:true, CssStyle:'fontFamily:Oswald', fontSize:function(){return Math.round(16*brd1.canvasWidth/800.)}});\r\n //brd1.create('text', [()=>6+2.75*Math.cos((type1+type2+0.5*type3)*2*Math.PI/(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf())), ()=>3+2.75*Math.sin((type1+type2+0.5*type3)*2*Math.PI/(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf())), ()=>'Grehound ('+type3.valueOf()+'/'+(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf())+')'],{display:'internal',anchorX:'middle', fixed:true, CssStyle:'fontFamily:Oswald', fontSize:function(){return Math.round(16*brd1.canvasWidth/800.)}});\r\n //brd1.create('text', [()=>6+2.75*Math.cos((type1+type2+type3+0.5*type4)*2*Math.PI/(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf())), ()=>3+2.75*Math.sin((type1+type2+type3+0.5*type4)*2*Math.PI/(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf())), ()=>'Dalmatian ('+type4.valueOf()+'/'+(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf())+')'],{display:'internal',anchorX:'middle', fixed:true, CssStyle:'fontFamily:Oswald', fontSize:function(){return Math.round(16*brd1.canvasWidth/800.)}});\r\n //brd1.create('text', [()=>6+2.75*Math.cos((type1+type2+type3+type4+0.5*type5)*2*Math.PI/(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf())), ()=>3+2.75*Math.sin((type1+type2+type3+type4+0.5*type5)*2*Math.PI/(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf())), ()=>'Shar-Pie ('+type5.valueOf()+'/'+(type1.valueOf()+type2.valueOf()+type3.valueOf()+type4.valueOf()+type5.valueOf()) +')'],{display:'internal',anchorX:'middle', fixed:true, CssStyle:'fontFamily:Oswald', fontSize:function(){return Math.round(16*brd1.canvasWidth/800.)}});\r\n//\r\n/////////////////////\r\n/*var sect=[];\r\nvar ini = function(){\r\nbrd1.removeObject(sect,true);\r\n}\r\n/////////////////\r\n var status =[];\r\n var fun = function(){\r\n for(let i=0; i3+2*Math.cos(2*Math.PI/(den.Value())), ()=>4+2*Math.sin(2*Math.PI/(den.Value()))]],\r\n {strokeColor:'black', strokeWidth:1, dash:2});\r\n brd1.create('segment', [[3,4], [()=>3+2*Math.cos(4*Math.PI/(den.Value())), ()=>4+2*Math.sin(4*Math.PI/(den.Value()))]],\r\n {strokeColor:'black', strokeWidth:1, dash:2});\r\n brd1.create('segment', [[3,4], [()=>3+2*Math.cos(6*Math.PI/(den.Value())), ()=>4+2*Math.sin(6*Math.PI/(den.Value()))]],\r\n {strokeColor:'black', strokeWidth:1, dash:2});\r\n brd1.create('segment', [[3,4], [()=>3+2*Math.cos(8*Math.PI/(den.Value())), ()=>4+2*Math.sin(8*Math.PI/(den.Value()))]],\r\n {strokeColor:'black', strokeWidth:1, dash:2});\r\n brd1.create('segment', [[3,4], [()=>3+2*Math.cos(10*Math.PI/(den.Value())), ()=>4+2*Math.sin(10*Math.PI/(den.Value()))]],\r\n {strokeColor:'black', strokeWidth:1, dash:2});\r\n brd1.create('segment', [[3,4], [()=>3+2*Math.cos(12*Math.PI/(den.Value())), ()=>4+2*Math.sin(12*Math.PI/(den.Value()))]],\r\n {strokeColor:'black', strokeWidth:1, dash:2});*/\r\n//\r\n//reload.on('down', function(){ini();type1=Math.round(Math.random()*3)+1; type2=Math.round(Math.random()*4)+1; type3=Math.round(Math.random()*4)+1;type4=Math.round(Math.random()*2)+1;type5=Math.round(Math.random()*3)+1;\r\n// i=1;j=1;k=1;l=1;m=1;});\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=24cc5754&\"\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=24cc5754&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=24cc5754&prod&lang=scss&\""],"sourceRoot":""}