document.write( "Question 1196187: In a certain school class, consisting of 60 girls and 40 boys, it is observed that 24 girls and 16 boys wear eyeglasses. If a student is picked at random from this class, find the following probabilities:
\n" ); document.write( "a. the picked student is wearing eyeglasses.
\n" ); document.write( "b. the picked student is wearing eyeglasses and being a boy.
\n" ); document.write( "c. the picked student is wearing eyeglasses and not being a boy.
\n" ); document.write( "d. are the two events; wearing glasses and being a boy independent? \n" ); document.write( "

Algebra.Com's Answer #828921 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "In a certain school class, consisting of 60 girls and 40 boys, it is observed that
\n" ); document.write( "24 girls and 16 boys wear eyeglasses. If a student is picked at random from this class,
\n" ); document.write( "find the following probabilities:
\n" ); document.write( "a. the picked student is wearing eyeglasses.
\n" ); document.write( "b. the picked student is wearing eyeglasses and being a boy.
\n" ); document.write( "c. the picked student is wearing eyeglasses and not being a boy.
\n" ); document.write( "d. are the two events; wearing glasses and being a boy independent?
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document.write( "(a)  P =  =  =  =  =  = 0.4.\r\n" );
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document.write( "(b)  P =  =  =  = 0.16.\r\n" );
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document.write( "(c)  (Not being a boy) means (being a girl).  THEREFORE\r\n" );
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document.write( "     P =  =  =  = 0.24.\r\n" );
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document.write( "(d)  You should check if two numbers are equal:\r\n" );
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document.write( "         P(wearing glasses AND being a boy),     (1), \r\n" );
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document.write( "     and\r\n" );
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document.write( "         P(wearing glasses)*P(being a boy)       (2)\r\n" );
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document.write( "     We have \r\n" );
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document.write( "         P(wearing glasses AND being a boy) =   for (1)\r\n" );
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document.write( "     and\r\n" );
document.write( "         P(wearing glasses)*P(being a boy) =  =  =   for (2).\r\n" );
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document.write( "     The numbers (1) and (2) are equal - - - hence, the events ARE independent.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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