document.write( "Question 1119031: a group of students contains 60% females and 40% males. Suppose 30% of the females have long hair and 20% of the males have long hair. what is the probability that a student chosen at random from the group have a short hair \n" ); document.write( "

Algebra.Com's Answer #734467 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "Let X be the total number of students in the group.\r\n" );
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document.write( "Then the number of females is 0.6X, while the number of males is 0.4X.\r\n" );
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document.write( "The number of females with short hair is 0.7*(0.6X) = 0.42X,       (<<<---=== 0.7 = 1-0.3 )\r\n" );
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document.write( "while the number of males with short hair is 0.8*(0.4X) = 0.32X.   (<<<---=== 0.8 = 1-0.2 )\r\n" );
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document.write( "Thus the total number of individuals with short hair is  0.42X + 0.32X = 0.74X.\r\n" );
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document.write( "Then the probability under the question is  = 0.74 = 74%.\r\n" );
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