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A problem in mathematics is given to 4 students A, B, C, D. Their chances of solving the problem, respectively, are 1/3,1/4,1/5 and 2/3.

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A problem in mathematics is given to 4 students A, B, C, D. Their chances of solving the problem, respectively, are 1/3,1/4,1/5 and 2/3. What is the probability that 

(i) The problem will be solved ? 

(ii) At most one of them solve  ?

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Let

E be the event = A solves the problem

F be the event = B solves the problem 

G be the event  =  C solves the problem

H be the event = D solves the problem

P(E) = 1/3

P(barE) = 2/3

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