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Directions: The following question has four choices out of which ONE or MORE can be correct.
The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c respectively. Of these subjects, the student has a 75% chance of passing in at least one, 50% chance of passing in at least two, and 40% chance of passing in exactly two. Which of the following relations is/are true?
  • a)
    p + m + c = 19/20
  • b)
    p + m + c = = 27/20
  • c)
    pmc = 1/10
  • d)
    pmc = 1/4
Correct answer is option 'B,C'. Can you explain this answer?
Most Upvoted Answer
Directions: The following question has four choices out of which ONE ...
Let A, B and C, respectively, denote the events that the student passes in Maths, Physics and Chemistry.
It is given:
P (A) = m, P(B) = p and P(C) = c
Probability of at least one success:
p + m + c - pm - pc - cm + pmc = 0.75 ------(i)
Probability of at least two successes:
mc + mp + pc - 2mcp = 0.5 ------------(ii)
Probability of exactly two successes:
mc + mp + pc - 3mcp = 0.4 ------------(iii)
From eq. (ii) and (iii),
mcp = 0.5 - 0.4 = 0.1 = 1/10
mc + mp + pc = 0.5 + 0.2 = 0.7 = 7/10
From (i),
p + m + c = 27/20
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Directions: The following question has four choices out of which ONE or MORE can be correct.The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c respectively. Of these subjects, the student has a 75% chance of passing in at least one, 50% chance of passing in at least two, and 40% chance of passing in exactly two. Which of the following relations is/are true?a)p + m + c = 19/20b)p + m + c = = 27/20c)pmc = 1/10d)pmc = 1/4Correct answer is option 'B,C'. Can you explain this answer?
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Directions: The following question has four choices out of which ONE or MORE can be correct.The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c respectively. Of these subjects, the student has a 75% chance of passing in at least one, 50% chance of passing in at least two, and 40% chance of passing in exactly two. Which of the following relations is/are true?a)p + m + c = 19/20b)p + m + c = = 27/20c)pmc = 1/10d)pmc = 1/4Correct answer is option 'B,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 Directions: The following question has four choices out of which ONE or MORE can be correct.The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c respectively. Of these subjects, the student has a 75% chance of passing in at least one, 50% chance of passing in at least two, and 40% chance of passing in exactly two. Which of the following relations is/are true?a)p + m + c = 19/20b)p + m + c = = 27/20c)pmc = 1/10d)pmc = 1/4Correct answer is option 'B,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 Directions: The following question has four choices out of which ONE or MORE can be correct.The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c respectively. Of these subjects, the student has a 75% chance of passing in at least one, 50% chance of passing in at least two, and 40% chance of passing in exactly two. Which of the following relations is/are true?a)p + m + c = 19/20b)p + m + c = = 27/20c)pmc = 1/10d)pmc = 1/4Correct answer is option 'B,C'. Can you explain this answer?.
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