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If B ⊂ A then : 

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NIELIT Scientific Assistant ECE 5 Dec 2021 Official Paper
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  1. P(A ∩ B̅) ≤ P(A) - P(B)
  2. P(A ∩ B̅) ≥ P(A) - P(B)
  3. P(A ∩ B̅) = P(A) - P(B)
  4. P(A ∩ B̅) = P(A) - P(B̅)

Answer (Detailed Solution Below)

Option 3 : P(A ∩ B̅) = P(A) - P(B)
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Detailed Solution

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The correct option is 3

Concept:

If , it means all elements of set B are also in set A.

Using set theory, we know that:

The sets and are disjoint, so:

Since (as B is a subset of A), we get:

 

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Last updated on Jun 12, 2025

-> NIELIT Scientific Assistant city intimation slip 2025 has been released at the official website.

-> NIELIT Scientific Assistant exam 2025 is scheduled to be conducted on June 28. 

-> A total number of 113 revised vacancies have been announced for the post of Scientific Assistant in Computer Science (CS), Information Technology (IT), and Electronics & Communication (EC) streams.

-> Online application form, last date has been extended up to from 17th April 2025.

->The NIELT has revised the Essential Qualifications for the post of Scientific Assistant. Candidates must possess (M.Sc.)/ (MS)/ (MCA) / (B.E.)/ (B.Tech) in relevant disciplines.

 

-> The NIELIT Scientific Assistant 2025 Notification has been released by the National Institute of Electronics and Information Technology (NIELIT).

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