Electronics and Communication Engineering (ECE) Exam  >  Electronics and Communication Engineering (ECE) Questions  >  The probability that an event A occurs in one... Start Learning for Free
The probability that an event A occurs in one trial of an experiment is 0.4. Three independent trials of experiment are performed. The probability that A occurs at least once is
  • a)
    0.936
  • b)
    0.784
  • c)
    0.964
  • d)
    None
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The probability that an event A occurs in one trial of an experiment i...
Here p  = 0.4, q = 0.6 and n = 3.
View all questions of this test
Most Upvoted Answer
The probability that an event A occurs in one trial of an experiment i...


Calculation:

Probability of A occurring at least once in three trials:
- Let's calculate the probability of A not occurring in all three trials: P(A') = 0.6
- Probability of A not occurring in all three trials: P(A') x P(A') x P(A') = 0.6 x 0.6 x 0.6 = 0.216
- Probability of A occurring at least once in three trials: 1 - P(A' in all three trials) = 1 - 0.216 = 0.784

Therefore, the probability that event A occurs at least once in three independent trials of the experiment is 0.784, which matches option 'B'.
Explore Courses for Electronics and Communication Engineering (ECE) exam

Similar Electronics and Communication Engineering (ECE) Doubts

Top Courses for Electronics and Communication Engineering (ECE)

The probability that an event A occurs in one trial of an experiment is 0.4. Three independent trials of experiment are performed. The probability that A occurs at least once isa)0.936b)0.784c)0.964d)NoneCorrect answer is option 'B'. Can you explain this answer?
Question Description
The probability that an event A occurs in one trial of an experiment is 0.4. Three independent trials of experiment are performed. The probability that A occurs at least once isa)0.936b)0.784c)0.964d)NoneCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about The probability that an event A occurs in one trial of an experiment is 0.4. Three independent trials of experiment are performed. The probability that A occurs at least once isa)0.936b)0.784c)0.964d)NoneCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The probability that an event A occurs in one trial of an experiment is 0.4. Three independent trials of experiment are performed. The probability that A occurs at least once isa)0.936b)0.784c)0.964d)NoneCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The probability that an event A occurs in one trial of an experiment is 0.4. Three independent trials of experiment are performed. The probability that A occurs at least once isa)0.936b)0.784c)0.964d)NoneCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE). Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of The probability that an event A occurs in one trial of an experiment is 0.4. Three independent trials of experiment are performed. The probability that A occurs at least once isa)0.936b)0.784c)0.964d)NoneCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The probability that an event A occurs in one trial of an experiment is 0.4. Three independent trials of experiment are performed. The probability that A occurs at least once isa)0.936b)0.784c)0.964d)NoneCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The probability that an event A occurs in one trial of an experiment is 0.4. Three independent trials of experiment are performed. The probability that A occurs at least once isa)0.936b)0.784c)0.964d)NoneCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The probability that an event A occurs in one trial of an experiment is 0.4. Three independent trials of experiment are performed. The probability that A occurs at least once isa)0.936b)0.784c)0.964d)NoneCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The probability that an event A occurs in one trial of an experiment is 0.4. Three independent trials of experiment are performed. The probability that A occurs at least once isa)0.936b)0.784c)0.964d)NoneCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
Explore Courses for Electronics and Communication Engineering (ECE) exam

Top Courses for Electronics and Communication Engineering (ECE)

Explore Courses
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