document.write( "Question 1202550: A class of 10 boys and 10 girls a committee of 5 are choosen. What is the probability that all are of the same sex? \n" ); document.write( "
Algebra.Com's Answer #837459 by ikleyn(52786)\"\" \"About 
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\n" ); document.write( "\"highlight%28In%29\" a class of 10 boys and 10 girls a committee of 5 are chosen. What is the probability that all are of the same sex?
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document.write( "P(all 5 are boys) = \"%2810%2F20%29%2A%289%2F19%29%2A%288%2F18%29%2A%287%2F17%29%2A%286%2F16%29\" = \"30240%2F1860480\" = \"21%2F1292\".\r\n" );
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document.write( "P(all 5 are girls) = \"%2810%2F20%29%2A%289%2F19%29%2A%288%2F18%29%2A%287%2F17%29%2A%286%2F16%29\" = \"30240%2F1860480\" = \"21%2F1292\"  (the same value).\r\n" );
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document.write( "P(all are of the same sex) = the sum = \"21%2F1292\" + \"21%2F1292\" = \"21%2F646\" = 0.03251  (rounded).\r\n" );
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