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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
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Two students Amit and Priyanka appeared in an examination. The probabi...
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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.
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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?
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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?.
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