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A problem is given to three students whose chances of solving it are 1/4, 1/5 and 1/6, respectively. Find the probability that the problem is solved.

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Given : let A , B and C be three students whose chances of solving a problem is given i.e , 

P(A) = \(\frac{1}{4}\), P(B) = \(\frac{1}{5}\) and P(C) = \(\frac{1}{6}.\)

To Find: The probability that the problem is solved .

Here , P(the problem is solved) = 1 - P(the problem is not solved)

\(\frac{1}{2}\) 

Therefore , The probability that the problem is solved is\(\frac{1}{2}\).

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