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Also ist die bedingte Wahrscheinlichkeit: - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \frac{4}{36} = \frac{1}{9}

📌 إذن، الاحتمال بأن يكون المجموع 9 هو \(\boxed{\frac{1}{9}}\).

📌 سؤال: في مجموعة من 52 ورقة لعب، كم عدد اليد الفريدة المكونة من 5 أوراق التي يمكن تشكيلها تحتوي على ورقتين آسكر بالضبط؟

📌 الحل: أولاً، نحسب عدد الطرق لاختيار ورقتين آس من الـ4 المتاحة في المجموعة. يُعطى هذا بـ \(\binom{4}{2}\):

📌 بعد ذلك، نحتاج إلى اختيار 3 أوراق غير آسك من البقايا الـ48 ورقة (بما أن 52 - 4 = 48): تُعطى هذه بـ \(\binom{48}{3}\):

📌 \binom{48}{3} = \frac{48 \times 47 \times 46}{3 \times 2 \times 1} = 17296

📌 إجمالي عدد اليد الفريدة المكونة من 5 أوراق تحتوي على ورقتين آس فقط هو حاصل ضرب هذه القيم:

📌 \times 17296 = 103776

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