Question
Download Solution PDFযে কোন দুটি স্বাধীন ঘটনা A এবং B, P(A - B) এর সমান:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
দুটি স্বাধীন ঘটনা A এবং B
অনুসৃত সূত্র:
P(A - B) = P(A) - P(A ∩ B)
স্বাধীন ঘটনার জন্য, P(A ∩ B) = P(A) × P(B)
গণনা:
আমাদের P(A - B) নির্ণয় করতে হবে।
P(A - B) = P(A) - P(A ∩ B)
যেহেতু A এবং B স্বাধীন ঘটনা:
P(A ∩ B) = P(A) × P(B)
অতএব, P(A - B) = P(A) - P(A) × P(B)
সমাধান:
P(A - B) = P(A) - P(A) × P(B)
P(A - B) = P(A)(1 - P(B))
সুতরাং, P(A - B) = P(A)(1 - P(B))
Last updated on Jul 15, 2025
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