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Detailed Solution
Download Solution PDFसंकल्पना:
एक घटना का पूरक:
एक घटना का पूरक प्रतिदर्श समष्टि में परिणामों का उपसमुच्चय होता है जो घटना में नहीं होते हैं।
एक घटना के पूरक की प्रायिकता घटना के प्रायिकता से एक कम है।
P (A̅) = 1 - P (A) ⇒ P (A) = 1 - P (A̅)
सूत्र: P (A ∪ B) = P (A) + P (B) - P (A ∩ B)
गणना:
दिया गया है:
इसलिए, P(A) = 1 - P (A̅) =
चूँकि हम जानते हैं, P (A ∪ B) = P (A) + P (B) - P (A ∩ B)
⇒ P (A ∪ B) = 1 - P (A̅) + P (B) - P (A ∩ B)
इसलिए विकल्प 1 सत्य है।
P(A ∩ B) = P(A) P(B) =
इसलिए, विकल्प 2 भी सत्य है।
P(A) + P(B) =
अतः विकल्प 3 सत्य नहीं है।
Last updated on Jun 18, 2025
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