document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119031>Question 1119031</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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 </SPAN>\n" );
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document.write( "Many students find it easier to solve problems like this by putting numbers to the problem instead of working with the percentages.  Since the students are 60% female and 40% male, using 60 females and 40 males makes good sense.<br><BR>\n" );
document.write( "Then 30% of the females (30% of 60 = 18) and 20% of the males (20% 0f 40 = 8) have long hair.  That leaves 60-18 = 42 females and 40-8 = 32 males with short hair, for a total of 42+32 = 74.<br><BR>\n" );
document.write( "Then since 74 out of the 100 students have short hair, the probability that a randomly chosen student will have short hair is 74/100, or 74%. </SPAN>\n" );
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