GATE Exam  >  GATE Questions  >  If P and Q are two random events, then the fo... Start Learning for Free
If P and Q are two random events, then the following is TRUE
  • a)
    Independence of P and Q implies that probability (P ∩ Q) - 0
  • b)
    Probability (P ∪ Q) ≥ Probability (P) + Probability (Q)
  • c)
    If P and Q are mutually exclusive, then they must be independent
  • d)
    Probability ( P ∩ Q) ≤ Probability (P)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If P and Q are two random events, then the following is TRUEa)Independ...
(a) is false since of Pand Q are independent

which need not be zero.
(b) is false since

(c) is false since independence and mutually exclusion are unrelated properties.
(d) is true
View all questions of this test
Most Upvoted Answer
If P and Q are two random events, then the following is TRUEa)Independ...
And Q) = probability (P) * probability (Q)
b)Independence of P and Q implies that probability (P or Q) = probability (P) + probability (Q)
c)Independence of P and Q implies that probability (P and Q) = probability (P) + probability (Q)
d)Independence of P and Q implies that probability (P and Q) = probability (P) * probability (Q)
Explore Courses for GATE exam
If P and Q are two random events, then the following is TRUEa)Independence of P and Q implies that probability (P ∩ Q) - 0b)Probability (P ∪ Q) ≥ Probability (P) + Probability (Q)c)If P and Q are mutually exclusive, then they must be independentd)Probability ( P ∩ Q) ≤ Probability (P)Correct answer is option 'D'. Can you explain this answer?
Question Description
If P and Q are two random events, then the following is TRUEa)Independence of P and Q implies that probability (P ∩ Q) - 0b)Probability (P ∪ Q) ≥ Probability (P) + Probability (Q)c)If P and Q are mutually exclusive, then they must be independentd)Probability ( P ∩ Q) ≤ Probability (P)Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about If P and Q are two random events, then the following is TRUEa)Independence of P and Q implies that probability (P ∩ Q) - 0b)Probability (P ∪ Q) ≥ Probability (P) + Probability (Q)c)If P and Q are mutually exclusive, then they must be independentd)Probability ( P ∩ Q) ≤ Probability (P)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If P and Q are two random events, then the following is TRUEa)Independence of P and Q implies that probability (P ∩ Q) - 0b)Probability (P ∪ Q) ≥ Probability (P) + Probability (Q)c)If P and Q are mutually exclusive, then they must be independentd)Probability ( P ∩ Q) ≤ Probability (P)Correct answer is option 'D'. Can you explain this answer?.
Solutions for If P and Q are two random events, then the following is TRUEa)Independence of P and Q implies that probability (P ∩ Q) - 0b)Probability (P ∪ Q) ≥ Probability (P) + Probability (Q)c)If P and Q are mutually exclusive, then they must be independentd)Probability ( P ∩ Q) ≤ Probability (P)Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of If P and Q are two random events, then the following is TRUEa)Independence of P and Q implies that probability (P ∩ Q) - 0b)Probability (P ∪ Q) ≥ Probability (P) + Probability (Q)c)If P and Q are mutually exclusive, then they must be independentd)Probability ( P ∩ Q) ≤ Probability (P)Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If P and Q are two random events, then the following is TRUEa)Independence of P and Q implies that probability (P ∩ Q) - 0b)Probability (P ∪ Q) ≥ Probability (P) + Probability (Q)c)If P and Q are mutually exclusive, then they must be independentd)Probability ( P ∩ Q) ≤ Probability (P)Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If P and Q are two random events, then the following is TRUEa)Independence of P and Q implies that probability (P ∩ Q) - 0b)Probability (P ∪ Q) ≥ Probability (P) + Probability (Q)c)If P and Q are mutually exclusive, then they must be independentd)Probability ( P ∩ Q) ≤ Probability (P)Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If P and Q are two random events, then the following is TRUEa)Independence of P and Q implies that probability (P ∩ Q) - 0b)Probability (P ∪ Q) ≥ Probability (P) + Probability (Q)c)If P and Q are mutually exclusive, then they must be independentd)Probability ( P ∩ Q) ≤ Probability (P)Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If P and Q are two random events, then the following is TRUEa)Independence of P and Q implies that probability (P ∩ Q) - 0b)Probability (P ∪ Q) ≥ Probability (P) + Probability (Q)c)If P and Q are mutually exclusive, then they must be independentd)Probability ( P ∩ Q) ≤ Probability (P)Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.
Explore Courses for GATE exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev