Question 142Asked in BPSC TRE 3.0 (2024) Mathematics Class 11-12

If A and B are events such that P(A/B) = P(B/A), thenयदि A और B ऐसी घटनाएँ हैं कि P(A/B) = P(B/A), तब

यदि A और B ऐसी घटनाएँ हैं कि P(A/B) = P(B/A), तब
  1. AA ⊂ BA ⊂ B
  2. BP(A) = P(B)P(A) = P(B)
  3. CP(A) < P(B)P(A) < P(B)
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (B) P(A) = P(B)P(A) = P(B)

Explanation

P(A ∩ B)/P(B) = P(A ∩ B)/P(A). With P(A ∩ B) ≠ 0, this gives P(A) = P(B).P(A ∩ B)/P(B) = P(A ∩ B)/P(A)। P(A ∩ B) ≠ 0 होने पर P(A) = P(B) मिलता है।

From BPSC TRE 3.0 (2024) Mathematics Class 11-12 — Previous Year Paper

This is question 142 of BPSC TRE 3.0 (2024) Mathematics Class 11-12 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.