document.write( "Question 1205263: From your class of 20 female and 30 male total students the department head wants to select 5 female and 7 male students for the purpose of a specific meeting so whats What is the probability that 6 male and 3 female students to be included in to the meeting \n" ); document.write( "
Algebra.Com's Answer #841944 by Edwin McCravy(20063)\"\" \"About 
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document.write( "As you have stated the problem, the probability is 1, because since there are 7\r\n" );
document.write( "males, there are of course 6 males, and since there are 5 females there are of\r\n" );
document.write( "course 3 females.\r\n" );
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document.write( "So you left out the word \"particular\". Your question should be:\r\n" );
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document.write( "What is the probability that 6 PARTICULAR male and 3 PARTICULAR female students\r\n" );
document.write( "ARE included in \"cross%28to%29\" the meeting.\r\n" );
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document.write( "So the 20 females consist of 5 particular females, and 15 non-particular females.\r\n" );
document.write( "And, the 30 males consist of 6 particular males, and 24 non-particular males.\r\n" );
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document.write( "The number of successful choices are \r\n" );
document.write( "1. Choose all 3 particular females 1 way and 2 non-particular females \r\n" );
document.write( "C(15,2)=105 ways.\r\n" );
document.write( "2. Choose all 6 particular males 1 way, and 1 non-particular male C(24,1)=24\r\n" );
document.write( "ways.\r\n" );
document.write( "That's (105)(24) = 2520 successful ways.\r\n" );
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document.write( "The number of possible choices are \r\n" );
document.write( "1. Choose any 5 females C(20,5)=15504 ways.\r\n" );
document.write( "2. Choose any 7 males C(30,7)=2035800 ways\r\n" );
document.write( "ways.\r\n" );
document.write( "That's (15504)(2035800) = 31563043200 possible ways.\r\n" );
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document.write( "So the probability is 2520/31563043200 which reduces to\r\n" );
document.write( "7/87675120 or about 0.00000008\r\n" );
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document.write( "Edwin
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