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Probability of solving a mathematical problem by A, B and C respectively are $\large\frac{1}{3}, \frac{1}{2}$$ \: and \: \frac{1}{4} $. If they try to solve the problem independently, find the probability that : (i) the problem is solved (ii) exactly one of them solve the problem (iii) exactly two of them solve the problem (iv) what do you think that problem solving attitude from books helpful in real life also?