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Update curriculum content and improve site metadata: Change the status of multiple math chapters from 'planned' to 'live' in the JSON curriculum file. Enhance the chapter content in spec.md with updated best practices for chapter creation. Revise the feed and sitemap XML files to include new chapters and their last modified timestamps for better SEO and navigation. Update the section title in the why-sections template for clarity.
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content/math/basic-probability/supplement.html
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content/math/basic-probability/supplement.html
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<div class="book-prose">
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<h2 id="checkpoints" class="book-prose__heading">Checkpoints</h2>
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<details class="book-question">
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<summary class="book-question__prompt">A fair die is rolled. Find \(P(\text{prime})\).</summary>
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<div class="book-question__solution">
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<p><strong>Answer:</strong> \(\frac{3}{6}=\frac12\) (2,3,5).</p>
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</div>
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</details>
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<details class="book-question">
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<summary class="book-question__prompt">A bag has 4 red and 6 blue balls. Find \(P(\text{not red})\).</summary>
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<div class="book-question__solution">
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<p><strong>Answer:</strong> \(\frac{6}{10}=\frac35\).</p>
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</div>
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</details>
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<details class="book-question">
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<summary class="book-question__prompt">For independent events, \(P(A)=0.3,P(B)=0.4\). Find \(P(A\cap B)\).</summary>
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<div class="book-question__solution">
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<p><strong>Answer:</strong> \(0.12\).</p>
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</div>
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</details>
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<details class="book-question">
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<summary class="book-question__prompt">An event occurs 18 times in 50 trials. Estimate probability.</summary>
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<div class="book-question__solution">
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<p><strong>Answer:</strong> \(\frac{18}{50}=0.36\).</p>
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</div>
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</details>
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</div>
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