feat(lessons): add lessons from client db
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253
src/components/lessons/ProbabilityTreeWidget.tsx
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253
src/components/lessons/ProbabilityTreeWidget.tsx
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import React, { useState } from 'react';
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const ProbabilityTreeWidget: React.FC = () => {
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const [replacement, setReplacement] = useState(false);
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const [initR, setInitR] = useState(3);
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const [initB, setInitB] = useState(4);
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const [hoverPath, setHoverPath] = useState<string | null>(null); // 'RR', 'RB', 'BR', 'BB'
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const total = initR + initB;
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// Level 1 Probs
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const pR = initR / total;
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const pB = initB / total;
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// Level 2 Probs (Given R)
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const r_R = replacement ? initR : Math.max(0, initR - 1);
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const r_Total = replacement ? total : total - 1;
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const pR_R = r_Total > 0 ? r_R / r_Total : 0;
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const pB_R = r_Total > 0 ? 1 - pR_R : 0;
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// Level 2 Probs (Given B)
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const b_B = replacement ? initB : Math.max(0, initB - 1);
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const b_Total = replacement ? total : total - 1;
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const pB_B = b_Total > 0 ? b_B / b_Total : 0;
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const pR_B = b_Total > 0 ? 1 - pB_B : 0;
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// Final Probs
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const pRR = pR * pR_R;
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const pRB = pR * pB_R;
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const pBR = pB * pR_B;
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const pBB = pB * pB_B;
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const fraction = (num: number, den: number) => {
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if (den === 0) return "0";
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return (
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<span className="font-mono bg-white px-1 rounded shadow-sm border border-slate-200 text-xs inline-block mx-1">
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{num}/{den}
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</span>
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);
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};
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const getPathColor = (path: string, segment: 'top' | 'bottom' | 'top-top' | 'top-bottom' | 'bottom-top' | 'bottom-bottom') => {
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const defaultColor = "#cbd5e1"; // Slate 300
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if (!hoverPath) {
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// Default coloring based on branch type
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if (segment.includes('top')) return "#f43f5e"; // Red branches
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if (segment.includes('bottom')) return "#3b82f6"; // Blue branches
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return defaultColor;
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}
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// Highlighting logic based on hoverPath
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if (segment === 'top') return (hoverPath === 'RR' || hoverPath === 'RB') ? "#f43f5e" : "#f1f5f9";
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if (segment === 'bottom') return (hoverPath === 'BR' || hoverPath === 'BB') ? "#3b82f6" : "#f1f5f9";
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if (segment === 'top-top') return hoverPath === 'RR' ? "#f43f5e" : "#f1f5f9";
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if (segment === 'top-bottom') return hoverPath === 'RB' ? "#3b82f6" : "#f1f5f9";
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if (segment === 'bottom-top') return hoverPath === 'BR' ? "#f43f5e" : "#f1f5f9";
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if (segment === 'bottom-bottom') return hoverPath === 'BB' ? "#3b82f6" : "#f1f5f9";
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return defaultColor;
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};
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const getStrokeWidth = (segment: string) => {
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if (!hoverPath) return 2;
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if (segment === 'top') return (hoverPath === 'RR' || hoverPath === 'RB') ? 4 : 1;
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if (segment === 'bottom') return (hoverPath === 'BR' || hoverPath === 'BB') ? 4 : 1;
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if (segment === 'top-top') return hoverPath === 'RR' ? 4 : 1;
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if (segment === 'top-bottom') return hoverPath === 'RB' ? 4 : 1;
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if (segment === 'bottom-top') return hoverPath === 'BR' ? 4 : 1;
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if (segment === 'bottom-bottom') return hoverPath === 'BB' ? 4 : 1;
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return 2;
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}
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return (
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<div className="bg-white p-6 rounded-xl shadow-lg border border-slate-200">
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{/* Controls */}
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<div className="flex flex-wrap justify-between items-center mb-6 gap-4">
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<div className="flex gap-4">
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<div className="flex flex-col">
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<label className="text-xs font-bold text-rose-600 uppercase mb-1">Red Items</label>
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<div className="flex items-center gap-2">
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<button onClick={() => setInitR(Math.max(1, initR-1))} className="w-6 h-6 bg-rose-100 text-rose-700 rounded hover:bg-rose-200">-</button>
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<span className="font-bold w-4 text-center">{initR}</span>
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<button onClick={() => setInitR(Math.min(10, initR+1))} className="w-6 h-6 bg-rose-100 text-rose-700 rounded hover:bg-rose-200">+</button>
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</div>
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</div>
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<div className="flex flex-col">
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<label className="text-xs font-bold text-blue-600 uppercase mb-1">Blue Items</label>
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<div className="flex items-center gap-2">
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<button onClick={() => setInitB(Math.max(1, initB-1))} className="w-6 h-6 bg-blue-100 text-blue-700 rounded hover:bg-blue-200">-</button>
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<span className="font-bold w-4 text-center">{initB}</span>
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<button onClick={() => setInitB(Math.min(10, initB+1))} className="w-6 h-6 bg-blue-100 text-blue-700 rounded hover:bg-blue-200">+</button>
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</div>
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</div>
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</div>
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<div className="flex bg-slate-100 p-1 rounded-lg">
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<button
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onClick={() => setReplacement(true)}
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className={`px-3 py-1 text-xs font-bold rounded transition-all ${replacement ? 'bg-white shadow text-indigo-600' : 'text-slate-500'}`}
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>
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With Replacement
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</button>
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<button
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onClick={() => setReplacement(false)}
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className={`px-3 py-1 text-xs font-bold rounded transition-all ${!replacement ? 'bg-white shadow text-indigo-600' : 'text-slate-500'}`}
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>
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Without Replacement
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</button>
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</div>
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</div>
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<div className="relative h-64 w-full max-w-lg mx-auto select-none">
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<svg width="100%" height="100%" className="overflow-visible">
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{/* Root */}
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<circle cx="20" cy="128" r="6" fill="#64748b" />
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{/* Level 1 Branches */}
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<path d="M 20 128 C 50 128, 50 64, 150 64" fill="none" stroke={getPathColor('R', 'top')} strokeWidth={getStrokeWidth('top')} className="transition-all duration-300" />
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<path d="M 20 128 C 50 128, 50 192, 150 192" fill="none" stroke={getPathColor('B', 'bottom')} strokeWidth={getStrokeWidth('bottom')} className="transition-all duration-300" />
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{/* Level 1 Labels */}
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<foreignObject x="60" y="70" width="60" height="30">
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<div className={`text-center font-bold text-xs ${hoverPath && (hoverPath[0]!=='R') ? 'text-slate-300' : 'text-rose-600'}`}>{initR}/{total}</div>
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</foreignObject>
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<foreignObject x="60" y="150" width="60" height="30">
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<div className={`text-center font-bold text-xs ${hoverPath && (hoverPath[0]!=='B') ? 'text-slate-300' : 'text-blue-600'}`}>{initB}/{total}</div>
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</foreignObject>
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{/* Level 1 Nodes */}
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<circle cx="150" cy="64" r="18" fill="#f43f5e" className={`transition-all ${hoverPath && hoverPath[0] !== 'R' ? 'opacity-20' : 'opacity-100 shadow-md'}`} />
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<text x="150" y="68" textAnchor="middle" fill="white" className={`text-xs font-bold pointer-events-none ${hoverPath && hoverPath[0] !== 'R' ? 'opacity-20' : ''}`}>R</text>
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<circle cx="150" cy="192" r="18" fill="#3b82f6" className={`transition-all ${hoverPath && hoverPath[0] !== 'B' ? 'opacity-20' : 'opacity-100 shadow-md'}`} />
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<text x="150" y="196" textAnchor="middle" fill="white" className={`text-xs font-bold pointer-events-none ${hoverPath && hoverPath[0] !== 'B' ? 'opacity-20' : ''}`}>B</text>
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{/* Level 2 Branches (Top) */}
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<path d="M 168 64 L 280 32" fill="none" stroke={getPathColor('RR', 'top-top')} strokeWidth={getStrokeWidth('top-top')} strokeDasharray="4,2" className="transition-all duration-300" />
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<path d="M 168 64 L 280 96" fill="none" stroke={getPathColor('RB', 'top-bottom')} strokeWidth={getStrokeWidth('top-bottom')} strokeDasharray="4,2" className="transition-all duration-300" />
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{/* Level 2 Top Labels */}
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<foreignObject x="190" y="25" width="60" height="30">
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<div className={`text-center font-bold text-xs ${hoverPath === 'RR' ? 'text-rose-600 scale-110' : 'text-slate-400'}`}>{r_R}/{r_Total}</div>
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</foreignObject>
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<foreignObject x="190" y="80" width="60" height="30">
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<div className={`text-center font-bold text-xs ${hoverPath === 'RB' ? 'text-blue-600 scale-110' : 'text-slate-400'}`}>{initB}/{r_Total}</div>
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</foreignObject>
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{/* Level 2 Branches (Bottom) */}
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<path d="M 168 192 L 280 160" fill="none" stroke={getPathColor('BR', 'bottom-top')} strokeWidth={getStrokeWidth('bottom-top')} strokeDasharray="4,2" className="transition-all duration-300" />
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<path d="M 168 192 L 280 224" fill="none" stroke={getPathColor('BB', 'bottom-bottom')} strokeWidth={getStrokeWidth('bottom-bottom')} strokeDasharray="4,2" className="transition-all duration-300" />
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{/* Level 2 Bottom Labels */}
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<foreignObject x="190" y="150" width="60" height="30">
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<div className={`text-center font-bold text-xs ${hoverPath === 'BR' ? 'text-rose-600 scale-110' : 'text-slate-400'}`}>{initR}/{b_Total}</div>
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</foreignObject>
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<foreignObject x="190" y="210" width="60" height="30">
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<div className={`text-center font-bold text-xs ${hoverPath === 'BB' ? 'text-blue-600 scale-110' : 'text-slate-400'}`}>{b_B}/{b_Total}</div>
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</foreignObject>
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{/* Outcomes (Interactive Targets) */}
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<g
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className="cursor-pointer"
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onMouseEnter={() => setHoverPath('RR')}
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onMouseLeave={() => setHoverPath(null)}
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>
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<text x="300" y="36" className={`text-xs font-bold transition-all ${hoverPath === 'RR' ? 'fill-rose-600 text-base' : 'fill-slate-500'}`}>RR: {(pRR * 100).toFixed(1)}%</text>
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<rect x="290" y="20" width="80" height="20" fill="transparent" />
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</g>
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<g
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className="cursor-pointer"
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onMouseEnter={() => setHoverPath('RB')}
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onMouseLeave={() => setHoverPath(null)}
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>
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<text x="300" y="100" className={`text-xs font-bold transition-all ${hoverPath === 'RB' ? 'fill-indigo-600 text-base' : 'fill-slate-500'}`}>RB: {(pRB * 100).toFixed(1)}%</text>
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<rect x="290" y="85" width="80" height="20" fill="transparent" />
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</g>
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<g
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className="cursor-pointer"
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onMouseEnter={() => setHoverPath('BR')}
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onMouseLeave={() => setHoverPath(null)}
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>
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<text x="300" y="164" className={`text-xs font-bold transition-all ${hoverPath === 'BR' ? 'fill-indigo-600 text-base' : 'fill-slate-500'}`}>BR: {(pBR * 100).toFixed(1)}%</text>
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<rect x="290" y="150" width="80" height="20" fill="transparent" />
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</g>
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<g
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className="cursor-pointer"
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onMouseEnter={() => setHoverPath('BB')}
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onMouseLeave={() => setHoverPath(null)}
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>
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<text x="300" y="228" className={`text-xs font-bold transition-all ${hoverPath === 'BB' ? 'fill-blue-600 text-base' : 'fill-slate-500'}`}>BB: {(pBB * 100).toFixed(1)}%</text>
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<rect x="290" y="215" width="80" height="20" fill="transparent" />
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</g>
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</svg>
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</div>
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{/* Calculation Panel */}
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<div className={`p-4 rounded-lg border text-sm mt-4 transition-colors ${hoverPath ? 'bg-amber-50 border-amber-200 text-amber-900' : 'bg-slate-50 border-slate-100 text-slate-400'}`}>
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{!hoverPath ? (
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<p className="text-center italic">Hover over an outcome (e.g., RR) to see the calculation.</p>
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) : (
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<>
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<p className="font-bold mb-1">
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Calculation for <span className="font-mono bg-white px-1 rounded border border-amber-200">{hoverPath}</span>
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({hoverPath[0] === 'R' ? 'Red' : 'Blue'} then {hoverPath[1] === 'R' ? 'Red' : 'Blue'}):
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</p>
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<div className="flex flex-wrap items-center gap-2 font-mono text-lg mt-2 justify-center sm:justify-start">
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{/* First Draw */}
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<span>P({hoverPath[0]})</span>
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<span>×</span>
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<span>P({hoverPath[1]} | {hoverPath[0]})</span>
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<span>=</span>
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{/* Numbers */}
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{fraction(hoverPath[0] === 'R' ? initR : initB, total)}
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<span>×</span>
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{fraction(
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hoverPath === 'RR' ? r_R : hoverPath === 'RB' ? initB : hoverPath === 'BR' ? initR : b_B,
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hoverPath[0] === 'R' ? r_Total : b_Total
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)}
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<span>=</span>
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{/* Result */}
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<strong className="text-amber-700">
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{fraction(
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(hoverPath[0] === 'R' ? initR : initB) * (hoverPath === 'RR' ? r_R : hoverPath === 'RB' ? initB : hoverPath === 'BR' ? initR : b_B),
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total * (hoverPath[0] === 'R' ? r_Total : b_Total)
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)}
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</strong>
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</div>
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{!replacement && hoverPath[0] === hoverPath[1] && (
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<p className="text-xs mt-3 text-rose-600 font-bold bg-white p-2 rounded inline-block border border-rose-100">
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⚠ Notice: The numerator decreased because we kept the first {hoverPath[0] === 'R' ? 'Red' : 'Blue'} item!
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</p>
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)}
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</>
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)}
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</div>
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</div>
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);
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};
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export default ProbabilityTreeWidget;
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