Which of the following is INCORRECT if E and F are independent?

This question was previously asked in
AAI ATC Junior Executive 25 March 2021 Official Paper (Shift 2)
View all AAI JE ATC Papers >
  1. P(EF)=P(E)P(F)
  2. P(FE)=P(F), P(E)0
  3. P(EF)=P(E), P(F)0
  4. P(FE)=P(F) Where P(E),P(F)0

Answer (Detailed Solution Below)

Option 4 : P(FE)=P(F) Where P(E),P(F)0
Free
AAI ATC JE Physics Mock Test
8.4 K Users
15 Questions 15 Marks 15 Mins

Detailed Solution

Download Solution PDF

Explanation:

  • Two events are said to be independent if the occurrence of one does not depend on the occurrence of the other.
  • Or, P(A/B) = P(A) , P(A) ≠ 0   → (ii) and (iii) are TRUE

P(A/B) = P(A ∩ B)/P(B) = P(A) 

⇒  P(AB)=P(A)P(B)  → (i) is TRUE

  • Here, option (iv) is FALSE as in P(FE)=P(F), P(F) can be zero.
  • So, the correct answer is option 4.
Latest AAI JE ATC Updates

Last updated on Jun 19, 2025

-> The AAI ATC Exam 2025 will be conducted on July 14, 2025 for Junior Executive.. 

-> AAI JE ATC recruitment 2025 application form has been released at the official website. The last date to apply for AAI ATC recruitment 2025 is May 24, 2025. 

-> AAI JE ATC 2025 notification is released on April 4, 2025, along with the details of application dates, eligibility, and selection process.

-> A total number of 309 vacancies are announced for the AAI JE ATC 2025 recruitment.

-> This exam is going to be conducted for the post of Junior Executive (Air Traffic Control) in the Airports Authority of India (AAI).

-> The Selection of the candidates is based on the Computer-Based Test, Voice Test and Test for consumption of Psychoactive Substances.

-> The AAI JE ATC Salary 2025 will be in the pay scale of Rs 40,000-3%-1,40,000 (E-1).

-> Candidates can check the AAI JE ATC Previous Year Papers to check the difficulty level of the exam.

-> Applicants can also attend the AAI JE ATC Test Series which helps in the preparation.

More Probability and Statistics Questions

Get Free Access Now
Hot Links: teen patti casino download teen patti download apk teen patti master apk teen patti live teen patti tiger