document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140205>Question 1140205</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A researcher is working with a group of 14 participants, 8 of whom are female and 6 of whom are male. The researcher will select one participant from the group at random, and then she will select a second participant at random from the remaining participants. What is the probability that two females will be selected? </SPAN>\n" );
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document.write( "(1) from the basic definition of probability....<br><BR>\n" );
document.write( "8 females to choose from out of 14 total for the first; 7 females out of 13 total remaining for the second:<BR>\n" );
document.write( "(8/14)*(7/13)<br><BR>\n" );
document.write( "Simplify if required....<br><BR>\n" );
document.write( "(2) using \"n choose r\" concept....<br><BR>\n" );
document.write( "The number of ways of choosing 2 of the 8 females = 8 choose 2;<BR>\n" );
document.write( "the total number of ways of choosing 2 of the 14 participants = 14 choose 2<br><BR>\n" );
document.write( "P(choose 2 females) = C(8,2)/C(14,2) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );