document.write( "Question 890024: There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. What is the probability that a randomly chosen team has 3 or 4 girls? \n" ); document.write( "
Algebra.Com's Answer #539039 by Edwin McCravy(20055)\"\" \"About 
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There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. What is the probability that a randomly chosen team has 3 or 4 girls?
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document.write( "First we calculate the numerator of the desired probability:\r\n" );
document.write( "\"N(___)\" means \"The number of ways we can choose___)\r\n" );
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document.write( "N[ (3 girls AND 7 boys) OR (4 girls AND 6 boys) ]\r\n" );
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document.write( "The word \"AND\" suggests MULTIPLICATION, the word \"OR\" suggests ADDITION:\r\n" );
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document.write( "N(3 girls)*N(7 boys) + N(4 girls)*N(6 boys)\r\n" );
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document.write( "C(6,3)*C(7,7) + C(6,4)*C(7,6) = 20*1 + 15*7  = 125\r\n" );
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document.write( "Next we calculate the denominator of the desired probability.\r\n" );
document.write( "That is to choose any 10 from the 13 people in the class.\r\n" );
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document.write( "That's \"13 people choose 10\" = C(13,10) = 286\r\n" );
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document.write( "Answer: \"125%2F286\"\r\n" );
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document.write( "Edwin
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