document.write( "Question 1170786: 11 out of 15 students is selected for a football team. What is the probability that Hanif is selected? \n" ); document.write( "

Algebra.Com's Answer #850869 by ikleyn(52847) $\"\"$ $\"About$

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\n" ); document.write( "11 out of 15 students is selected for a football team. What is the probability that Hanif is selected?
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document.write( "The total number of all possible teams is the number of combinations\r\n" );
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document.write( "     =  = 1365.\r\n" );
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document.write( "The teams where Hanif participates, are those where 10 other students \r\n" );
document.write( "of remaining 15-1 = 14 students participate.\r\n" );
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document.write( "The number of such teams is   =  = 1001.\r\n" );
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document.write( "The probability that Hanif will be selected is  P =  = 0.7333  (rounded).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "Another reasoning is possible, also.\r
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\n" ); document.write( "\n" ); document.write( "The probability that Hanif will be among 11 lucky guys from the total 15 guys is $\"11%2F15\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Notice that this ratio's value is precisely the same as $\"1001%2F1365\"$ above.\r
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