document.write( "Question 1144001: A mathematics problem is given to three students A, B, C whose chances of solving it are 1/4, 2/3, 1/2 respectively. If all of them try independently, the probability that the problem is solved by any one of the students is: - \n" ); document.write( "

Algebra.Com's Answer #764960 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "HINT.  The probability that the problem will be solved by anyone of the three students is the COMPLEMENT\r\n" );
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document.write( "       to the probability that the problem will not be solved by anyone of them.\r\n" );
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document.write( "SOLUTION\r\n" );
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document.write( "The probability that student A will not solve the problem is  1 -  = .\r\n" );
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document.write( "The probability that student B will not solve the problem is  1 -  = .\r\n" );
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document.write( "The probability that student C will not solve the problem is  1 -  = .\r\n" );
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document.write( "The probability that the problem will not be solved by students A, B, and C  is\r\n" );
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document.write( "    P =  = .\r\n" );
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document.write( "Hence, the answer to the problem question is the COMPLEMENT to  ,  i.e.   1 -  = .    ANSWER\r\n" );
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