document.write( "Question 287482: A committee of 5 people is to be selected from student council. Council has 6 boys and 7 girls. What is the probability that the committee will have at least 3 boys?\r
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Algebra.Com's Answer #208324 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
A committee of 5 people is to be selected from student council. Council has 6 boys and 7 girls. What is the probability that the committee will have at least 3 boys? \r
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document.write( "The other tutor's solution is wrong.\r\n" );
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document.write( "We get the probability of the complement event\r\n" );
document.write( "and subtract from 1.  The complement event is a committee with\r\n" );
document.write( "no boys or 1 boy or 2 boys.\r\n" );
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document.write( "1 - P(0 boys OR 1 boy OR 2 boys)\r\n" );
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document.write( "\"OR\" means \"ADD\"\r\n" );
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document.write( "1 - [P(0 boys)+P(1 boy)+P(2 boys)]\r\n" );
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document.write( "P(0 boys) = P(5 girls) = \"%287C5%29%2F%2813C5%29=21%2F1287=7%2F429\"\r\n" );
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document.write( "P(1 boy) =  P(4 girls AND 1 boy) \r\n" );
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document.write( "\"AND\" means \"MULTIPLY\", so\r\n" );
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document.write( "P(1 boy) =  P(4 girls AND 1 boy) = \"%28%287C4%29%286C1%29%29%2F%2813C5%29=%28%2835%29%286%29%29%2F1287=210%2F1287=70%2F429\"\r\n" );
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document.write( "P(2 boys) =  P(3 girls AND 2 boys) = \"%28%287C3%29%286C2%29%29%2F%2813C5%29=%28%2835%29%2815%29%29%2F1287=525%2F1287=175%2F429\"\r\n" );
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document.write( "So,\r\n" );
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document.write( "1 - [P(0 boys)+P(1 boy)+P(2 boys)]\r\n" );
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document.write( "becomes:\r\n" );
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document.write( "1 - [\"7%2F429%2B70%2F428%2B175%2F429\"]=\"1-252%2F429=429%2F429-252%2F429=177%2F429=59%2F143\"\r\n" );
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document.write( "Edwin
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