Question
Download Solution PDFकिन्हीं दो स्वतंत्र घटनाओं A और B के लिए, P(A - B) किसके बराबर है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया है:
दो स्वतंत्र घटनाएँ A और B हैं
प्रयुक्त सूत्र:
P(A - B) = P(A) - P(A ∩ B)
स्वतंत्र घटनाओं P(A ∩ B) = P(A) × P(B) के लिए,
गणना:
हमें P(A - B) ज्ञात करना है।
P(A - B) = P(A) - P(A ∩ B)
चूँकि A और B स्वतंत्र घटनाएँ हैं:
P(A ∩ B) = P(A) × P(B)
इसलिए, P(A - B) = P(A) - P(A) × P(B)
हल:
P(A - B) = P(A) - P(A) × P(B)
P(A - B) = P(A)(1 - P(B))
इसलिए, P(A - B) = P(A)(1 - P(B)).
Last updated on Jul 17, 2025
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