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COMEDK20269 May 2026Morning ShiftMathematicsProbabilityActual

The odds against Arjun solving a problem are 5:2 and the odds in favour of Bhavana solving the same problem are 3:4 . What is the probability that the problem is NOT solved by either of them?

Options

  1. A10 49
  2. B29 49
  3. C15 49
  4. D20 49

Correct answer

D. 20 49

Step-by-step solution

Let A be the event that Arjun solves the problem and B be the event that Bhavana solves the problem. Given the odds against Arjun solving the problem are 5:2 , the probability that Arjun does not solve the problem is P(A') = 5 5+2 = 5 7 . Given the odds in favour of Bhavana solving the problem are 3:4 , the probability that Bhavana does not solve the problem is P(B') = 4 3+4 = 4 7 . The probability that the problem is not solved by either of them is the probability that both fail to solve it, which is P(A' B') . Si

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