JEE Exam  >  JEE Questions  >  Two students Amit and Priyanka appeared in an... Start Learning for Free
Two students Amit and Priyanka appeared in an examination. The probability that Amit will qualify the examination is 0.06 and that Priyanka will qualify the examination is 0.12. The probability that both will qualify the examination is 0.02. Then, the probability that both Amit and Priyanka will not qualify the examination is:
  • a)
    0.91
  • b)
    0.12
  • c)
    0.84
  • d)
    0.45
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two students Amit and Priyanka appeared in an examination. The probabi...
Probability that Amit will qualify the exam(E) = 0.06
Probability that Priyanka will qualify the exam(F) = 0.12
Probability that both will qualify the exam P(E⋂F) = 0.02
P(EUF) = P(E) + P(F) - P(EUF)
= 0.06 + 0.12 - 0.02   = 0.16
P(E’⋂F’) = 1 - P(EUF)
⇒ 1 - 0.16
= 0.84
View all questions of this test
Most Upvoted Answer
Two students Amit and Priyanka appeared in an examination. The probabi...
Free Test
Community Answer
Two students Amit and Priyanka appeared in an examination. The probabi...
To find the probability that both Amit and Priyanka will not qualify the examination, we need to find the complement of the event that both will qualify the examination.

Let's denote the event that Amit qualifies the examination as A, and the event that Priyanka qualifies the examination as P.

Given:
P(A) = 0.06
P(P) = 0.12
P(A ∩ P) = 0.02

We know that the complement of an event is equal to 1 minus the probability of that event. Therefore, the complement of the event that both will qualify the examination is:

P(A' ∩ P') = 1 - P(A ∩ P)

Calculating the complement:

P(A' ∩ P') = 1 - 0.02
= 0.98

So, the probability that both Amit and Priyanka will not qualify the examination is 0.98.

Therefore, the correct answer is option C: 0.84.
Explore Courses for JEE exam

Similar JEE Doubts

Two students Amit and Priyanka appeared in an examination. The probability that Amit will qualify the examination is 0.06 and that Priyanka will qualify the examination is 0.12. The probability that both will qualify the examination is 0.02. Then, the probability that both Amit and Priyanka will not qualify the examination is:a)0.91b)0.12c)0.84d)0.45Correct answer is option 'C'. Can you explain this answer?
Question Description
Two students Amit and Priyanka appeared in an examination. The probability that Amit will qualify the examination is 0.06 and that Priyanka will qualify the examination is 0.12. The probability that both will qualify the examination is 0.02. Then, the probability that both Amit and Priyanka will not qualify the examination is:a)0.91b)0.12c)0.84d)0.45Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two students Amit and Priyanka appeared in an examination. The probability that Amit will qualify the examination is 0.06 and that Priyanka will qualify the examination is 0.12. The probability that both will qualify the examination is 0.02. Then, the probability that both Amit and Priyanka will not qualify the examination is:a)0.91b)0.12c)0.84d)0.45Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two students Amit and Priyanka appeared in an examination. The probability that Amit will qualify the examination is 0.06 and that Priyanka will qualify the examination is 0.12. The probability that both will qualify the examination is 0.02. Then, the probability that both Amit and Priyanka will not qualify the examination is:a)0.91b)0.12c)0.84d)0.45Correct answer is option 'C'. Can you explain this answer?.
Solutions for Two students Amit and Priyanka appeared in an examination. The probability that Amit will qualify the examination is 0.06 and that Priyanka will qualify the examination is 0.12. The probability that both will qualify the examination is 0.02. Then, the probability that both Amit and Priyanka will not qualify the examination is:a)0.91b)0.12c)0.84d)0.45Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Two students Amit and Priyanka appeared in an examination. The probability that Amit will qualify the examination is 0.06 and that Priyanka will qualify the examination is 0.12. The probability that both will qualify the examination is 0.02. Then, the probability that both Amit and Priyanka will not qualify the examination is:a)0.91b)0.12c)0.84d)0.45Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Two students Amit and Priyanka appeared in an examination. The probability that Amit will qualify the examination is 0.06 and that Priyanka will qualify the examination is 0.12. The probability that both will qualify the examination is 0.02. Then, the probability that both Amit and Priyanka will not qualify the examination is:a)0.91b)0.12c)0.84d)0.45Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Two students Amit and Priyanka appeared in an examination. The probability that Amit will qualify the examination is 0.06 and that Priyanka will qualify the examination is 0.12. The probability that both will qualify the examination is 0.02. Then, the probability that both Amit and Priyanka will not qualify the examination is:a)0.91b)0.12c)0.84d)0.45Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Two students Amit and Priyanka appeared in an examination. The probability that Amit will qualify the examination is 0.06 and that Priyanka will qualify the examination is 0.12. The probability that both will qualify the examination is 0.02. Then, the probability that both Amit and Priyanka will not qualify the examination is:a)0.91b)0.12c)0.84d)0.45Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Two students Amit and Priyanka appeared in an examination. The probability that Amit will qualify the examination is 0.06 and that Priyanka will qualify the examination is 0.12. The probability that both will qualify the examination is 0.02. Then, the probability that both Amit and Priyanka will not qualify the examination is:a)0.91b)0.12c)0.84d)0.45Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

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