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Probability of solving a specific problem independently by three students are `1/2, 1/3` & `1/4`. If all are trying to solve the problem independently then find the probability that

i) the problem is solved, ii) exactly one of them solves the problem, iii) exactly two of them solve the problem.

i) the problem is solved, ii) exactly one of them solves the problem, iii) exactly two of them solve the problem.

Ans: i) `1/2` , ii) `11/24`, iii) `6\log_3e`