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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\\\\). 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JXG.Options.text.cssDefaultStyle='fontFamily:Oswald;'\r\n var brd1 = JXG.JSXGraph.initBoard('jxgbox1',{boundingbox: [-8, 8, 8, -8],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, 'Tangents of a Circle', '(Number of Tangents to a Circle)');\r\n placeLogo(brd1);\r\n var reload = placeShuffle(brd1);\r\n var test = placeTest(brd1);\r\n var centerx = 0;\r\n var centery = 0;\r\n\r\n let switchStatus = true;\r\n\r\n //Tape\r\n var x0_tape = 5;\r\n var y0_tape = 1;\r\n var size_tape = 2;\r\n\r\n\r\n //Radius\r\n var radius = brd1.create('slider',[[11,1],[13,1],[0,3,10]], {visible: false, snapToGrid: false ,face:'circle', size:4, strokeWidth: 2, name:'r', strokeColor:'#5B43FF', fillColor: '#5B43FF', baseline: { strokeColor: '#5B43FF'}, highline: { strokeColor: '#5B43FF'}, postLabel: '', label:{fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald'}});\r\n\r\n //Circle\r\n var pt0 = brd1.create('point', [centerx, centery],{face:'o' , name:'O', size:4, strokeColor: '#5B43FF', fillColor: '#5B43FF', fixed:false, visible:true, label:{fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald'}});\r\n var c1 = brd1.create('circle', [pt0, [function(){return pt0.X() + radius.Value()}, function(){return pt0.Y()}]], {strokeColor: '#5B43FF', strokeWidth: 4, fixed:true});\r\n\r\n //OP\r\n var p_P = brd1.create('point', [5,0], {name: 'P', attractors: [c1], attractorDistance: 0.5 , snatchDistance: 1, face:'circle', size:4, label:{offset: [-5, 20], fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald'}});\r\n var seg_op = brd1.create('segment', [p_P, pt0], {fixed: true, strokeColor: '#5B43FF', strokeWidth: 3, dash:3});\r\n\r\n var perp1 = brd1.create('perpendicular', [seg_op, p_P], {visible: false, fixed: true, strokeColor: '#FF3B3B', strokeWidth: 3});\r\n\r\n //Tangents\r\n var p_M = brd1.create('midpoint', [seg_op], {visible: false, name: 'M', face:'circle', size:2, label:{offset: [-5, 20], fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald'}});\r\n var c2 = brd1.create('circle', [p_M, p_P], {visible: false, strokeColor: '#5B43FF', strokeWidth: 4, fixed:true});\r\n var c3 = brd1.create('circle', [p_P, pt0], {visible: false, strokeColor: '#5B43FF', strokeWidth: 4, fixed:true});\r\n\r\n //Intersection\r\n var p_Q = brd1.create('intersection', [c1, c2, 0], {face:'o' , name:'Q', size:4, strokeColor: '#5B43FF', fillColor: '#5B43FF', fixed:false, visible:true, label:{fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald'}});\r\n var p_R = brd1.create('intersection', [c1, c2, 1], {face:'o' , name:'R', size:4, strokeColor: '#5B43FF', fillColor: '#5B43FF', fixed:false, visible:true, label:{fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald'}});\r\n\r\n var p_Q2 = brd1.create('intersection', [c3, perp1, 0], {face:'o' , name:'Q2', size:4, strokeColor: '#5B43FF', fillColor: '#5B43FF', fixed:false, visible:false, label:{fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald'}});\r\n var p_R2 = brd1.create('intersection', [c3, perp1, 1], {face:'o' , name:'R2', size:4, strokeColor: '#5B43FF', fillColor: '#5B43FF', fixed:false, visible:false, label:{fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald'}});\r\n\r\n //PR and PQ\r\n var seg_pr = brd1.create('segment', [p_P, p_Q], {fixed: true, strokeColor: '#FF3B3B', strokeWidth: 3});\r\n var seg_pq = brd1.create('segment', [p_P, p_R], {fixed: true, strokeColor: '#FF3B3B', strokeWidth: 3});\r\n var seg_qr2 = brd1.create('segment', [p_Q2, p_R2], {fixed: true, strokeColor: '#FF3B3B', strokeWidth: 3, visible: function(){if( seg_op.L() > (radius.Value() - 0.1) && seg_op.L() < (radius.Value() + 0.1) ){return true} else {return false}}});\r\n\r\n //Radius line\r\n var seg_radius1 = brd1.create('segment', [pt0, p_Q], {fixed: true, strokeColor: '#5B43FF', strokeWidth: 3, dash: 3, visible: true});\r\n var seg_radius2 = brd1.create('segment', [pt0, p_R], {fixed: true, strokeColor: '#5B43FF', strokeWidth: 3, dash: 3, visible: true});\r\n\r\n //Text\r\n var txt1 = brd1.create('text', [0, -6, function(){ if(seg_pr.L() > 0.1){\r\n return 'Two Tangents';\r\n }\r\n else if(seg_op.L() > (radius.Value() - 0.1) && seg_op.L() < (radius.Value() + 0.1)){\r\n return 'One Tangent';\r\n }\r\n else{\r\n return 'Zero Tangents';\r\n }\r\n }],{visible: true, fixed: true, anchorX: 'middle', anchorY: 'middle', CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(18*brd1.canvasWidth/500.)}},);\r\n\r\n\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=435bc1bc&\"\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=435bc1bc&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=435bc1bc&prod&lang=scss&\""],"sourceRoot":""}