document.write( "Question 1210441: Giving a test to a group of students, the grades and gender are summarized below
\n" ); document.write( "A B C Total
\n" ); document.write( "Male 12 39 17 68
\n" ); document.write( "Female 16 11 33 60
\n" ); document.write( "Total 28 50 50 128
\n" ); document.write( "If one student is chosen at random,
\n" ); document.write( "Find the probability that the student was female GIVEN they got a 'A. \n" ); document.write( "

Algebra.Com's Answer #852547 by ikleyn(52969) $\"\"$ $\"About$

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\n" ); document.write( "Giving a test to a group of students, the grades and gender are summarized below\r
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document.write( "         A   B   C   Total\r\n" );
document.write( "Male    12  39  17    68\r\n" );
document.write( "Female  16  11  33    60\r\n" );
document.write( "Total   28  50  50   128\r\n" );
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If one student is chosen at random,
\n" ); document.write( "find the probability that the student was female GIVEN they got a 'A.
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document.write( "This problem is on conditional probability.\r\n" );
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document.write( "I will solve it using the method of reducing the space of event.\r\n" );
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document.write( "Our condition \" GIVEN they got a 'A' \"  allows me to consider the first column \r\n" );
document.write( "named  'A'  as a reduced space of event: so, I am looking for events in column 'A', only.\r\n" );
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document.write( "Thus I have 16 favorable students in this column (females) \r\n" );
document.write( "with the total 28 students in column 'A'.\r\n" );
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document.write( "Therefore, the answer is  P =  = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "At this point, the problem is solved completely with all necessary explanations.\r
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