diff --git a/.dockerignore b/.dockerignore
new file mode 100644
index 00000000..324d4bf2
--- /dev/null
+++ b/.dockerignore
@@ -0,0 +1,30 @@
+# Node stuff that will be (re)installed inside image
+node_modules
+npm-debug.log
+yarn-error.log
+
+# Build outputs / local dev artifacts
+dist
+/.astro
+/.vercel
+/.turbo
+
+# Git metadata
+.git
+.gitignore
+
+# Editor/OS cruft
+.vscode/
+*.swp
+.DS_Store
+
+# Local environment files (could contain secrets)
+.env
+.env.local
+.env.*.local
+
+# Logs
+*.log
+
+# Optional: if you have scripts or assets not needed in build context
+tests/
diff --git a/Dockerfile b/Dockerfile
new file mode 100644
index 00000000..7cb05120
--- /dev/null
+++ b/Dockerfile
@@ -0,0 +1,36 @@
+# Step 1: Build the Astro site
+FROM node:18-alpine AS build
+
+# Set working directory
+WORKDIR /app
+
+# Install dependencies
+COPY package*.json ./
+RUN npm install
+
+# Copy all files
+COPY . .
+
+# Expose default static site port
+EXPOSE 10000
+
+#run
+# CMD ["npm", "run", "dev"]
+
+# # update in future
+# # Step 2: Use a lightweight image to serve the site
+# FROM node:18-alpine
+
+# # Install a static server (you could also use nginx here)
+# RUN npm install -g serve
+
+# # Set working directory
+# WORKDIR /app
+
+# # # Copy built files from previous stage
+# COPY --from=build /app/dist .
+
+# # # Start the static server
+# CMD ["serve", "-s", ".", "-l", "10000"]
+
+
diff --git a/docker-compose.yml b/docker-compose.yml
new file mode 100644
index 00000000..9f6430cd
--- /dev/null
+++ b/docker-compose.yml
@@ -0,0 +1,7 @@
+version: '3.8'
+
+services:
+  astro:
+    build: .
+    ports:
+      - "3000:10000"
diff --git a/package-lock.json b/package-lock.json
index 6a677547..34867031 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -26,6 +26,7 @@
       },
       "devDependencies": {
         "@types/jest": "^29.5.12",
+        "@types/js-yaml": "^4.0.9",
         "@types/katex": "^0.16.7",
         "@types/node": "^20.14.9",
         "jest": "^29.7.0",
@@ -2881,6 +2882,12 @@
         "pretty-format": "^29.0.0"
       }
     },
+    "node_modules/@types/js-yaml": {
+      "version": "4.0.9",
+      "resolved": "https://registry.npmjs.org/@types/js-yaml/-/js-yaml-4.0.9.tgz",
+      "integrity": "sha512-k4MGaQl5TGo/iipqb2UDG2UwjXziSWkh0uysQelTlJpX1qGlpUZYm8PnO4DxG1qBomtJUdYJ6qR6xdIah10JLg==",
+      "dev": true
+    },
     "node_modules/@types/katex": {
       "version": "0.16.7",
       "resolved": "https://registry.npmjs.org/@types/katex/-/katex-0.16.7.tgz",
diff --git a/package.json b/package.json
index 70be73e0..7a311c0c 100644
--- a/package.json
+++ b/package.json
@@ -33,6 +33,7 @@
   },
   "devDependencies": {
     "@types/jest": "^29.5.12",
+    "@types/js-yaml": "^4.0.9",
     "@types/katex": "^0.16.7",
     "@types/node": "^20.14.9",
     "jest": "^29.7.0",
diff --git a/src/content/questions/comp2804/2013-fall-midterm/15/question.ts b/src/content/questions/comp2804/2013-fall-midterm/15/question.ts
index 3af8a61a..ce3d801a 100644
--- a/src/content/questions/comp2804/2013-fall-midterm/15/question.ts
+++ b/src/content/questions/comp2804/2013-fall-midterm/15/question.ts
@@ -4,7 +4,7 @@ export const question: MultipleChoiceQuestion = {
   body: "If you flip a fair coin 4 times, what is the probability that the coin comes up heads exactly twice?",
   options: [
     { label: "$1/{{4}\\choose{2}}$", correct: false },
-    { label: "$2/2^{4}$", false: true },
+    { label: "$2/2^{4}$", correct: true },// npm run build error due to false:true cahnged to correcT:true
     { label: "$2^{4}/{{4}\\choose{2}}$", correct: false },
     { label: "${{4}\\choose{2}}/2^{4}$", correct: true },
   ],
diff --git a/src/pages/lectures.astro b/src/pages/lectures.astro
index 8edda97a..c5923012 100644
--- a/src/pages/lectures.astro
+++ b/src/pages/lectures.astro
@@ -6,11 +6,21 @@ import fs from "fs";
 import path from "path";
 import yaml from "js-yaml";
 
+
+//fixed type error in lectures
+//downloaded js-yaml in package.json
+interface Lecture{
+  course: string;
+  link: string;
+  title: string;
+}
+
+
 const filePath = path.resolve("src/data/lectures.yml");
 const file = fs.readFileSync(filePath, "utf8");
-const lectures = yaml.load(file);
+const lectures:Lecture[] = yaml.load(file) as Lecture[];
 
-const grouped = {};
+const grouped: Record<string, Lecture[]> = {};
 for (const lec of lectures) {
   if (!grouped[lec.course]) grouped[lec.course] = [];
   grouped[lec.course].push(lec);