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The probability that Mohan can solve a mathematical problem is 2/3 and Sohan can solve the same problem is 3/4. If both Mohan and Sohan work on this problem, then what is the probability that the problem gets solved.

The probability that Mohan can solve a mathematical problem is 2/3 and Sohan can solve the same problem is 3/4. If both Mohan and Sohan work on this problem, then what is the probability that the problem gets solved. Correct Answer 11/12

Mohan solves the problem and Sohan does not solve the problem or Mohan does not solve the problem and Sohan solves the problem or Both can solve the problem.

∴ The required probability is = (2/3 × 1/4) + (1/3 × 3/4) + (2/3 × 3/4)

⇒ 2/12 + 3/12 + 6/12

⇒ 11/12

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