A problem in mathematics is given to three students $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and their…

A problem in mathematics is given to three students $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and their respective probability of solving the problem is $\frac{1}{2}, \frac{1}{3}$ and $\frac{1}{4}$. Probability that the problem is solved is
  1. $\frac{3}{4}$
  2. $\frac{1}{2}$
  3. $\frac{2}{3}$
  4. $\frac{1}{3}$

Asked in: JEE Main 2002

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