# 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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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$\frac{1}{2}$.