Question 1144001
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<U>HINT</U>.  The probability that the problem will be solved by anyone of the three students is the COMPLEMENT

       to the probability that the problem will not be solved by anyone of them.



<U>SOLUTION</U>


The probability that student A will not solve the problem is  1 - {{{1/4}}} = {{{3/4}}}.


The probability that student B will not solve the problem is  1 - {{{2/3}}} = {{{1/3}}}.


The probability that student C will not solve the problem is  1 - {{{1/2}}} = {{{1/2}}}.


The probability that the problem will not be solved by students A, B, and C  is

    P = {{{(3/4)*(1/3)*(1/2)}}} = {{{1/8}}}.


Hence, the answer to the problem question is the COMPLEMENT to  {{{1/8}}},  i.e.   1 - {{{1/8}}} = {{{7/8}}}.    <U>ANSWER</U>
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