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Create: 2023-04-17 Update: 2025-06-30 00:32:52

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آنچه در ویدئو بالا مشاهده می‌کنید، تابلوی گالتون (Galton Board) است که در آن، ۳۰۰۰ گلوله استیل از میان ۱۲ مسیر تعبیه شده سقوط می‌کنند و شکل منحنی نرمال یا زنگوله‌ای را تشکیل می‌دهند!

احتمال عبور از هرکدام از این ۱۲ مسیر برای تمام گلوله‌ها ۰/۵ است؛ به طوری که گلوله‌ها مطابق با توزیع دو جمله‌ای، پخش می‌شوند. یکی از یافته‌های جذاب سال ۲۰۱۸، نسخه مدرن جعبه گالتون است. نسخه اصلی این جعبه، توسط فرانسیس گالتون در سال ۱۸۴۹، برای شرح تئوری حد مرکزی (این تئوری نشان می‌دهد که فرآیندهای تصادفی چگونه در اطراف میانگین توزیع می‌شوند) اختراع شد. تعداد گلوله‌های ساکن در هر لوله را می‌توان با مثلث خیام-پاسکال قابل پیش‌بینی کرد.

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