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An examination consists of two papers, Paper 1 and Paper 2. The probability of failing in Paper 1 is 0.3 and that in Paper 2 is 0.2. Given that a student has failed in Paper 2, the probability of failing in Paper 1 is 0.6. The probability of a student failing in both the papers is
  • a)
    0.5
  • b)
    0.18
  • c)
    0.12
  • d)
    0.06
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
An examination consists of two papers, Paper 1 and Paper 2. The probab...
Let A be the event that 'faied in paper 1'.
B be the event that 'failed in paper 2'.
Given P(A) = 0.3, P(B) = 0.2.
And also given 
we know 
⇒ P(A∩B) = 0.6 x  0.2 = 0.12
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Community Answer
An examination consists of two papers, Paper 1 and Paper 2. The probab...


Calculation of Probability of failing in both papers:

- Let F1 be the event of failing in Paper 1 and F2 be the event of failing in Paper 2.
- Given that P(F1) = 0.3, P(F2) = 0.2, and P(F1|F2) = 0.6.

Using Conditional Probability formula:

- P(F1 ∩ F2) = P(F1|F2) * P(F2)
- P(F1 ∩ F2) = 0.6 * 0.2
- P(F1 ∩ F2) = 0.12

Therefore, the probability of a student failing in both papers is 0.12 or 12%. Hence, the correct answer is option 'C'.
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An examination consists of two papers, Paper 1 and Paper 2. The probability of failing in Paper 1 is 0.3 and that in Paper 2 is 0.2. Given that a student has failed in Paper 2, the probability of failing in Paper 1 is 0.6. The probability of a student failing in both the papers isa)0.5b)0.18c)0.12d)0.06Correct answer is option 'C'. Can you explain this answer?
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An examination consists of two papers, Paper 1 and Paper 2. The probability of failing in Paper 1 is 0.3 and that in Paper 2 is 0.2. Given that a student has failed in Paper 2, the probability of failing in Paper 1 is 0.6. The probability of a student failing in both the papers isa)0.5b)0.18c)0.12d)0.06Correct answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about An examination consists of two papers, Paper 1 and Paper 2. The probability of failing in Paper 1 is 0.3 and that in Paper 2 is 0.2. Given that a student has failed in Paper 2, the probability of failing in Paper 1 is 0.6. The probability of a student failing in both the papers isa)0.5b)0.18c)0.12d)0.06Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An examination consists of two papers, Paper 1 and Paper 2. The probability of failing in Paper 1 is 0.3 and that in Paper 2 is 0.2. Given that a student has failed in Paper 2, the probability of failing in Paper 1 is 0.6. The probability of a student failing in both the papers isa)0.5b)0.18c)0.12d)0.06Correct answer is option 'C'. Can you explain this answer?.
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