diff --git a/src/components/CrapsGame.tsx b/src/components/CrapsGame.tsx
index d44e16f..2cf1767 100644
--- a/src/components/CrapsGame.tsx
+++ b/src/components/CrapsGame.tsx
@@ -8,36 +8,42 @@ import { Switch } from '@/components/ui/switch';
 import { Slider } from '@/components/ui/slider';
 import { Dice1, Dice2, Dice3, Dice4, Dice5, Dice6, RotateCcw, Settings, Play } from 'lucide-react';
 import SocialShare from '@/components/SocialShare';
-
 interface CrapsGameProps {
   showSocialShare?: boolean;
 }
-
 const getDiceIcon = (value: number) => {
   switch (value) {
-    case 1: return <Dice1 className="w-12 h-12" />;
-    case 2: return <Dice2 className="w-12 h-12" />;
-    case 3: return <Dice3 className="w-12 h-12" />;
-    case 4: return <Dice4 className="w-12 h-12" />;
-    case 5: return <Dice5 className="w-12 h-12" />;
-    case 6: return <Dice6 className="w-12 h-12" />;
-    default: return <Dice1 className="w-12 h-12" />;
+    case 1:
+      return <Dice1 className="w-12 h-12" />;
+    case 2:
+      return <Dice2 className="w-12 h-12" />;
+    case 3:
+      return <Dice3 className="w-12 h-12" />;
+    case 4:
+      return <Dice4 className="w-12 h-12" />;
+    case 5:
+      return <Dice5 className="w-12 h-12" />;
+    case 6:
+      return <Dice6 className="w-12 h-12" />;
+    default:
+      return <Dice1 className="w-12 h-12" />;
   }
 };
-
-const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
+const CrapsGame: React.FC<CrapsGameProps> = ({
+  showSocialShare = false
+}) => {
   const [dice1, setDice1] = useState<number | null>(null);
   const [dice2, setDice2] = useState<number | null>(null);
   const [isRolling, setIsRolling] = useState(false);
   const [gameResult, setGameResult] = useState<'win' | 'lose' | 'continue' | null>(null);
   const [rollCount, setRollCount] = useState(0);
-  
+
   // Custom rules state
   const [customWinSums, setCustomWinSums] = useState<number[]>([7, 11]);
   const [customLoseSums, setCustomLoseSums] = useState<number[]>([2, 3, 12]);
   const [isCustomRules, setIsCustomRules] = useState(false);
   const [isRulesModalOpen, setIsRulesModalOpen] = useState(false);
-  
+
   // Simulation state
   const [simulationRounds, setSimulationRounds] = useState([10]);
   const [isSimulating, setIsSimulating] = useState(false);
@@ -55,25 +61,22 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
     totalTurns: number;
     completedGames: number;
   } | null>(null);
-
   const rollDice = () => {
     setIsRolling(true);
     setGameResult(null);
-    
+
     // Simulate rolling animation
     setTimeout(() => {
       const newDice1 = Math.floor(Math.random() * 6) + 1;
       const newDice2 = Math.floor(Math.random() * 6) + 1;
       const sum = newDice1 + newDice2;
-      
       setDice1(newDice1);
       setDice2(newDice2);
       setRollCount(prev => prev + 1);
-      
+
       // Determine game result based on current rules
       const winSums = isCustomRules ? customWinSums : [7, 11];
       const loseSums = isCustomRules ? customLoseSums : [2, 3, 12];
-      
       if (loseSums.includes(sum)) {
         setGameResult('lose');
       } else if (winSums.includes(sum)) {
@@ -81,29 +84,36 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
       } else {
         setGameResult('continue');
       }
-      
       setIsRolling(false);
     }, 1000);
   };
-
   const simulateGame = () => {
     const winSums = isCustomRules ? customWinSums : [7, 11];
     const loseSums = isCustomRules ? customLoseSums : [2, 3, 12];
-    
     let turns = 1;
     let point: number | null = null;
-    
     while (true) {
       const die1 = Math.floor(Math.random() * 6) + 1;
       const die2 = Math.floor(Math.random() * 6) + 1;
       const sum = die1 + die2;
-      
       if (point === null) {
         // First roll (come out roll)
         if (loseSums.includes(sum)) {
-          return { result: 'lose', turns, die1, die2, sum };
+          return {
+            result: 'lose',
+            turns,
+            die1,
+            die2,
+            sum
+          };
         } else if (winSums.includes(sum)) {
-          return { result: 'win', turns, die1, die2, sum };
+          return {
+            result: 'win',
+            turns,
+            die1,
+            die2,
+            sum
+          };
         } else {
           point = sum;
           turns++;
@@ -111,50 +121,63 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
       } else {
         // Subsequent rolls
         if (sum === point) {
-          return { result: 'win', turns, die1, die2, sum };
+          return {
+            result: 'win',
+            turns,
+            die1,
+            die2,
+            sum
+          };
         } else if (sum === 7) {
-          return { result: 'lose', turns, die1, die2, sum };
+          return {
+            result: 'lose',
+            turns,
+            die1,
+            die2,
+            sum
+          };
         } else {
           turns++;
         }
       }
     }
   };
-
   const simulateGameSlow = async (gameNumber: number) => {
     const winSums = isCustomRules ? customWinSums : [7, 11];
     const loseSums = isCustomRules ? customLoseSums : [2, 3, 12];
-    
     let turns = 1;
     let point: number | null = null;
-    
     while (true) {
       // Show rolling animation
       setIsRolling(true);
       await new Promise(resolve => setTimeout(resolve, 500));
-      
       const die1 = Math.floor(Math.random() * 6) + 1;
       const die2 = Math.floor(Math.random() * 6) + 1;
       const sum = die1 + die2;
-      
+
       // Update dice display
       setDice1(die1);
       setDice2(die2);
       setIsRolling(false);
-      
+
       // Wait to show the result
       await new Promise(resolve => setTimeout(resolve, 800));
-      
       if (point === null) {
         // First roll (come out roll)
         if (loseSums.includes(sum)) {
           setGameResult('lose');
           await new Promise(resolve => setTimeout(resolve, 1000));
-          return { result: 'lose', turns };
+          return {
+            result: 'lose',
+            turns
+          };
         } else if (winSums.includes(sum)) {
           setGameResult('win');
           await new Promise(resolve => setTimeout(resolve, 1000));
-          return { result: 'win', turns };
+          return {
+            result: 'win',
+            turns
+          };
         } else {
           setGameResult('continue');
           point = sum;
@@ -166,11 +189,17 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
         if (sum === point) {
           setGameResult('win');
           await new Promise(resolve => setTimeout(resolve, 1000));
-          return { result: 'win', turns };
+          return {
+            result: 'win',
+            turns
+          };
         } else if (sum === 7) {
           setGameResult('lose');
           await new Promise(resolve => setTimeout(resolve, 1000));
-          return { result: 'lose', turns };
+          return {
+            result: 'lose',
+            turns
+          };
         } else {
           setGameResult('continue');
           turns++;
@@ -179,7 +208,6 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
       }
     }
   };
-
   const runSimulation = async () => {
     setIsSimulating(true);
     setCurrentSimulationGame(0);
@@ -188,20 +216,23 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
     let wins = 0;
     let losses = 0;
     let totalTurns = 0;
-
     if (slowMode) {
       // Initialize live stats for slow mode
-      setLiveSimulationStats({ wins: 0, losses: 0, totalTurns: 0, completedGames: 0 });
-      
+      setLiveSimulationStats({
+        wins: 0,
+        losses: 0,
+        totalTurns: 0,
+        completedGames: 0
+      });
+
       // Slow mode: simulate visually
       for (let i = 0; i < numGames; i++) {
         setCurrentSimulationGame(i + 1);
         setGameResult(null);
         const game = await simulateGameSlow(i + 1);
-        if (game.result === 'win') wins++;
-        else losses++;
+        if (game.result === 'win') wins++;else losses++;
         totalTurns += game.turns;
-        
+
         // Update live stats
         setLiveSimulationStats({
           wins,
@@ -209,7 +240,7 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
           totalTurns,
           completedGames: i + 1
         });
-        
+
         // Brief pause between games
         await new Promise(resolve => setTimeout(resolve, 500));
       }
@@ -217,10 +248,9 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
       // Fast mode: simulate in background
       for (let i = 0; i < numGames; i++) {
         const game = simulateGame();
-        if (game.result === 'win') wins++;
-        else losses++;
+        if (game.result === 'win') wins++;else losses++;
         totalTurns += game.turns;
-        
+
         // Add a small delay every 10 games to show progress
         if (i % 10 === 0) {
           setCurrentSimulationGame(i + 1);
@@ -228,7 +258,6 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
         }
       }
     }
-
     setSimulationResults({
       wins,
       losses,
@@ -239,66 +268,52 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
     setLiveSimulationStats(null);
     setIsSimulating(false);
   };
-
   const resetGame = () => {
     setDice1(null);
     setDice2(null);
     setGameResult(null);
     setSimulationResults(null);
   };
-
   const sum = dice1 && dice2 ? dice1 + dice2 : null;
-
   const getResultMessage = () => {
     if (!gameResult) return null;
-    
     switch (gameResult) {
       case 'win':
-        return (
-          <div className="text-center space-y-2">
+        return <div className="text-center space-y-2">
             <Badge variant="default" className="bg-green-600 text-white text-lg px-4 py-2">
               🎉 You Win! 🎉
             </Badge>
             <p className="text-sm text-muted-foreground">
               Rolling {sum} on the first throw wins immediately!
             </p>
-          </div>
-        );
+          </div>;
       case 'lose':
-        return (
-          <div className="text-center space-y-2">
+        return <div className="text-center space-y-2">
             <Badge variant="destructive" className="text-lg px-4 py-2">
               💸 You Lose! 💸
             </Badge>
             <p className="text-sm text-muted-foreground">
               Rolling {sum} on the first throw loses immediately!
             </p>
-          </div>
-        );
+          </div>;
       case 'continue':
-        return (
-          <div className="text-center space-y-2">
+        return <div className="text-center space-y-2">
             <Badge variant="secondary" className="text-lg px-4 py-2">
               🎲 Game Continues 🎲
             </Badge>
             <p className="text-sm text-muted-foreground">
               Your point is {sum}. Keep playing to win or lose!
             </p>
-          </div>
-        );
+          </div>;
       default:
         return null;
     }
   };
-
-  return (
-    <div className="max-w-4xl mx-auto p-6 space-y-6">
+  return <div className="max-w-4xl mx-auto p-6 space-y-6">
       <Card>
         <CardHeader className="text-center">
           <CardTitle className="text-3xl font-bold text-foreground">Craps: An Exploration</CardTitle>
-          <CardDescription className="text-lg">
-            Roll two dice and see what happens on the opening throw of craps!
-          </CardDescription>
+          <CardDescription className="text-lg">In the game of Craps, we roll two dice, and note the sum S. In the traditional game, if S is 2, 3, or 12, you lose immediately; if the S is 7 or 11, you win immediately, and the game continues otherwise.</CardDescription>
         </CardHeader>
         <CardContent className="space-y-6">
           {/* Simulation Controls */}
@@ -312,52 +327,27 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
               </div>
               <div className="flex items-center space-x-2">
                 <label htmlFor="slow-mode" className="text-sm font-medium">Slow Mode</label>
-                <Switch
-                  id="slow-mode"
-                  checked={slowMode}
-                  onCheckedChange={setSlowMode}
-                />
+                <Switch id="slow-mode" checked={slowMode} onCheckedChange={setSlowMode} />
               </div>
             </CardHeader>
             <CardContent className="space-y-4">
               <div className="space-y-2">
                 <label className="text-sm font-medium">Number of games: {simulationRounds[0]}</label>
-                <Slider
-                  value={simulationRounds}
-                  onValueChange={setSimulationRounds}
-                  max={25}
-                  min={1}
-                  step={1}
-                  className="w-full"
-                />
+                <Slider value={simulationRounds} onValueChange={setSimulationRounds} max={25} min={1} step={1} className="w-full" />
               </div>
-              <Button 
-                onClick={runSimulation} 
-                disabled={isSimulating}
-                className="w-full gap-2"
-              >
+              <Button onClick={runSimulation} disabled={isSimulating} className="w-full gap-2">
                 <Play className="w-4 h-4" />
-                {isSimulating 
-                  ? (slowMode 
-                      ? `Simulating Game ${currentSimulationGame}/${simulationRounds[0]}...` 
-                      : 'Simulating...'
-                    ) 
-                  : 'Simulate'
-                }
+                {isSimulating ? slowMode ? `Simulating Game ${currentSimulationGame}/${simulationRounds[0]}...` : 'Simulating...' : 'Simulate'}
               </Button>
               
-              {(simulationResults || liveSimulationStats) && (
-                <div className="grid grid-cols-1 md:grid-cols-3 gap-4 mt-4 p-4 bg-muted/50 rounded-lg">
+              {(simulationResults || liveSimulationStats) && <div className="grid grid-cols-1 md:grid-cols-3 gap-4 mt-4 p-4 bg-muted/50 rounded-lg">
                   <div className="text-center">
                     <div className="text-2xl font-bold text-green-600">
                       {liveSimulationStats ? liveSimulationStats.wins : simulationResults!.wins}
                     </div>
                     <div className="text-sm text-muted-foreground">Wins</div>
                     <div className="text-xs">
-                      {liveSimulationStats 
-                        ? `(${((liveSimulationStats.wins / Math.max(liveSimulationStats.completedGames, 1)) * 100).toFixed(1)}%)`
-                        : `(${((simulationResults!.wins / simulationResults!.totalGames) * 100).toFixed(1)}%)`
-                      }
+                      {liveSimulationStats ? `(${(liveSimulationStats.wins / Math.max(liveSimulationStats.completedGames, 1) * 100).toFixed(1)}%)` : `(${(simulationResults!.wins / simulationResults!.totalGames * 100).toFixed(1)}%)`}
                     </div>
                   </div>
                   <div className="text-center">
@@ -366,26 +356,19 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
                     </div>
                     <div className="text-sm text-muted-foreground">Losses</div>
                     <div className="text-xs">
-                      {liveSimulationStats 
-                        ? `(${((liveSimulationStats.losses / Math.max(liveSimulationStats.completedGames, 1)) * 100).toFixed(1)}%)`
-                        : `(${((simulationResults!.losses / simulationResults!.totalGames) * 100).toFixed(1)}%)`
-                      }
+                      {liveSimulationStats ? `(${(liveSimulationStats.losses / Math.max(liveSimulationStats.completedGames, 1) * 100).toFixed(1)}%)` : `(${(simulationResults!.losses / simulationResults!.totalGames * 100).toFixed(1)}%)`}
                     </div>
                   </div>
                   <div className="text-center">
                     <div className="text-2xl font-bold text-blue-600">
-                      {liveSimulationStats 
-                        ? (liveSimulationStats.totalTurns / Math.max(liveSimulationStats.completedGames, 1)).toFixed(1)
-                        : simulationResults!.averageTurns.toFixed(1)
-                      }
+                      {liveSimulationStats ? (liveSimulationStats.totalTurns / Math.max(liveSimulationStats.completedGames, 1)).toFixed(1) : simulationResults!.averageTurns.toFixed(1)}
                     </div>
                     <div className="text-sm text-muted-foreground">Avg Turns</div>
                     <div className="text-xs">
                       {liveSimulationStats ? `(${liveSimulationStats.completedGames} games)` : 'per game'}
                     </div>
                   </div>
-                </div>
-              )}
+                </div>}
             </CardContent>
           </Card>
 
@@ -413,66 +396,53 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
                     <div>
                       <h3 className="font-semibold mb-4 text-red-600">Loss Sums</h3>
                       <div className="grid grid-cols-3 gap-2">
-                        {Array.from({ length: 11 }, (_, i) => i + 2).map((sum) => (
-                          <div key={`loss-${sum}`} className="flex items-center space-x-2">
-                            <Checkbox
-                              id={`loss-${sum}`}
-                              checked={customLoseSums.includes(sum)}
-                              onCheckedChange={(checked) => {
-                                if (checked) {
-                                  setCustomLoseSums([...customLoseSums.filter(s => s !== sum), sum]);
-                                  setCustomWinSums(customWinSums.filter(s => s !== sum));
-                                } else {
-                                  setCustomLoseSums(customLoseSums.filter(s => s !== sum));
-                                }
-                              }}
-                            />
+                        {Array.from({
+                        length: 11
+                      }, (_, i) => i + 2).map(sum => <div key={`loss-${sum}`} className="flex items-center space-x-2">
+                            <Checkbox id={`loss-${sum}`} checked={customLoseSums.includes(sum)} onCheckedChange={checked => {
+                          if (checked) {
+                            setCustomLoseSums([...customLoseSums.filter(s => s !== sum), sum]);
+                            setCustomWinSums(customWinSums.filter(s => s !== sum));
+                          } else {
+                            setCustomLoseSums(customLoseSums.filter(s => s !== sum));
+                          }
+                        }} />
                             <label htmlFor={`loss-${sum}`} className="text-sm">{sum}</label>
-                          </div>
-                        ))}
+                          </div>)}
                       </div>
                     </div>
                     <div>
                       <h3 className="font-semibold mb-4 text-green-600">Win Sums</h3>
                       <div className="grid grid-cols-3 gap-2">
-                        {Array.from({ length: 11 }, (_, i) => i + 2).map((sum) => (
-                          <div key={`win-${sum}`} className="flex items-center space-x-2">
-                            <Checkbox
-                              id={`win-${sum}`}
-                              checked={customWinSums.includes(sum)}
-                              onCheckedChange={(checked) => {
-                                if (checked) {
-                                  setCustomWinSums([...customWinSums.filter(s => s !== sum), sum]);
-                                  setCustomLoseSums(customLoseSums.filter(s => s !== sum));
-                                } else {
-                                  setCustomWinSums(customWinSums.filter(s => s !== sum));
-                                }
-                              }}
-                            />
+                        {Array.from({
+                        length: 11
+                      }, (_, i) => i + 2).map(sum => <div key={`win-${sum}`} className="flex items-center space-x-2">
+                            <Checkbox id={`win-${sum}`} checked={customWinSums.includes(sum)} onCheckedChange={checked => {
+                          if (checked) {
+                            setCustomWinSums([...customWinSums.filter(s => s !== sum), sum]);
+                            setCustomLoseSums(customLoseSums.filter(s => s !== sum));
+                          } else {
+                            setCustomWinSums(customWinSums.filter(s => s !== sum));
+                          }
+                        }} />
                             <label htmlFor={`win-${sum}`} className="text-sm">{sum}</label>
-                          </div>
-                        ))}
+                          </div>)}
                       </div>
                     </div>
                   </div>
                   <div className="flex justify-between gap-4">
-                    <Button
-                      variant="outline"
-                      onClick={() => {
-                        setCustomWinSums([7, 11]);
-                        setCustomLoseSums([2, 3, 12]);
-                        setIsCustomRules(false);
-                      }}
-                    >
+                    <Button variant="outline" onClick={() => {
+                    setCustomWinSums([7, 11]);
+                    setCustomLoseSums([2, 3, 12]);
+                    setIsCustomRules(false);
+                  }}>
                       Reset to Classic
                     </Button>
-                    <Button
-                      onClick={() => {
-                        setIsCustomRules(true);
-                        setIsRulesModalOpen(false);
-                        resetGame();
-                      }}
-                    >
+                    <Button onClick={() => {
+                    setIsCustomRules(true);
+                    setIsRulesModalOpen(false);
+                    resetGame();
+                  }}>
                       Apply Custom Rules
                     </Button>
                   </div>
@@ -483,11 +453,11 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
               <div className="grid grid-cols-1 md:grid-cols-3 gap-4 text-sm">
                 <div className="text-center">
                   <Badge variant="destructive" className="mb-2">Immediate Loss</Badge>
-                  <p>{isCustomRules ? (customLoseSums.length > 0 ? customLoseSums.join(', ') : 'None') : 'Rolling 2, 3, or 12'}</p>
+                  <p>{isCustomRules ? customLoseSums.length > 0 ? customLoseSums.join(', ') : 'None' : 'Rolling 2, 3, or 12'}</p>
                 </div>
                 <div className="text-center">
                   <Badge variant="default" className="mb-2 bg-green-600">Immediate Win</Badge>
-                  <p>{isCustomRules ? (customWinSums.length > 0 ? customWinSums.join(', ') : 'None') : 'Rolling 7 or 11'}</p>
+                  <p>{isCustomRules ? customWinSums.length > 0 ? customWinSums.join(', ') : 'None' : 'Rolling 7 or 11'}</p>
                 </div>
                 <div className="text-center">
                   <Badge variant="secondary" className="mb-2">Game Continues</Badge>
@@ -525,11 +495,7 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
 
             <div className="text-center space-y-2">
               <div className={`p-4 rounded-lg border-2 min-w-[80px] ${sum ? 'border-primary bg-primary/10' : 'border-muted'}`}>
-                {sum ? (
-                  <div className="text-3xl font-bold text-primary">{sum}</div>
-                ) : (
-                  <div className="w-12 h-12 bg-muted rounded border-2 border-dashed mx-auto"></div>
-                )}
+                {sum ? <div className="text-3xl font-bold text-primary">{sum}</div> : <div className="w-12 h-12 bg-muted rounded border-2 border-dashed mx-auto"></div>}
               </div>
               <p className="text-sm text-muted-foreground">Total</p>
             </div>
@@ -545,18 +511,10 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
 
           {/* Controls */}
           <div className="flex justify-center gap-4">
-            <Button 
-              onClick={rollDice} 
-              disabled={isRolling}
-              className="px-8 py-3 text-lg"
-            >
+            <Button onClick={rollDice} disabled={isRolling} className="px-8 py-3 text-lg">
               {isRolling ? 'Rolling...' : 'Roll Dice'}
             </Button>
-            <Button 
-              variant="outline" 
-              onClick={resetGame}
-              className="px-8 py-3"
-            >
+            <Button variant="outline" onClick={resetGame} className="px-8 py-3">
               <RotateCcw className="w-4 h-4 mr-2" />
               Reset
             </Button>
@@ -599,17 +557,9 @@ const CrapsGame: React.FC<CrapsGameProps> = ({ showSocialShare = false }) => {
         </CardContent>
       </Card>
 
-      {showSocialShare && (
-        <div className="flex justify-center">
-          <SocialShare 
-            title="Craps: First Throw"
-            description="Learn about probability through the classic casino game of craps!"
-            url={`${window.location.origin}/craps-game`}
-          />
-        </div>
-      )}
-    </div>
-  );
+      {showSocialShare && <div className="flex justify-center">
+          <SocialShare title="Craps: First Throw" description="Learn about probability through the classic casino game of craps!" url={`${window.location.origin}/craps-game`} />
+        </div>}
+    </div>;
 };
-
 export default CrapsGame;
\ No newline at end of file