**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\(\frac{1}{2}\).