document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=261317>Question 261317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ten percent of all people are left handed. If two people are randomly selected, what is the probability of getting one left handed person and one right handed person? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #192519 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=192519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> probability of a person being left handed is 10% = .1<BR>\n" );
document.write( "probability of a person being right handed is 1 - .1 = .9\r<BR>\n" );
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document.write( "p(1 left and 1 right) = .1*.9 * 2 = .18\r<BR>\n" );
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document.write( "you multiply by 2 because it can happen in 2 ways.\r<BR>\n" );
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document.write( "first way is you pick the first person who is left handed and then you pick the second person who is right handed.\r<BR>\n" );
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document.write( "second way is you pick the first person who is right handed and then you pick the second person who is left handed.\r<BR>\n" );
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document.write( "total possibilities are 0 left and 2 right, 1 left and 1 right, 2 left and 0 right.\r<BR>\n" );
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document.write( "p(0 left and 2 right) = .9^2 = .81<BR>\n" );
document.write( "p(1 left and 1 right) = .1 * .9 * 2 = .18<BR>\n" );
document.write( "p(2 left and 0 right) = .1^2 = .01\r<BR>\n" );
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document.write( "total probability is .81 + .18 + .01 = 1 as it should.\r<BR>\n" );
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document.write( "your answer is .18.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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