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A student appears for tests I, II and III. The student is successful if he passes either in tests I and II or tests I and III. The probabilities of the student passing in tests I, II and III are p, q and respectively. If the probability that the student is successful is , then (1986 - 2 Marks)
  • a)
    p = q = 1
  • b)
    p = q =
  • c)
    p = 1, q = 0
  • d)
    p = 1, q =
  • e)
    none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A student appears for tests I, II and III. The student is successful i...
Let A, B, C be the events that the student passes test I, II, III respectively.
Then, ATQ ; P(A) = p; P (B) = q; P(C) = 
Now the student is successful if A and B happen or A and C happen or A, B and C happen.
ATQ,  
⇒ p + pq = 1 ⇒ p (1 + q) = 1
which holds for p = 1 and q = 0.
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A student appears for tests I, II and III. The student is successful if he passes either in tests I and II or tests I and III. The probabilities of the student passing in tests I, II and III are p, q and respectively. If the probability that the student is successful is , then (1986 - 2 Marks)a)p = q = 1b)p = q = c)p = 1, q = 0d)p = 1, q = e)none of theseCorrect answer is option 'C'. Can you explain this answer?
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A student appears for tests I, II and III. The student is successful if he passes either in tests I and II or tests I and III. The probabilities of the student passing in tests I, II and III are p, q and respectively. If the probability that the student is successful is , then (1986 - 2 Marks)a)p = q = 1b)p = q = c)p = 1, q = 0d)p = 1, q = e)none of theseCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A student appears for tests I, II and III. The student is successful if he passes either in tests I and II or tests I and III. The probabilities of the student passing in tests I, II and III are p, q and respectively. If the probability that the student is successful is , then (1986 - 2 Marks)a)p = q = 1b)p = q = c)p = 1, q = 0d)p = 1, q = e)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A student appears for tests I, II and III. The student is successful if he passes either in tests I and II or tests I and III. The probabilities of the student passing in tests I, II and III are p, q and respectively. If the probability that the student is successful is , then (1986 - 2 Marks)a)p = q = 1b)p = q = c)p = 1, q = 0d)p = 1, q = e)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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