document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=310140>Question 310140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a bookshelf contains six mysteries and three biographies. two books are selected at random without replacement.<BR>\n" );
document.write( "a. what is the probability that both books are mysteries?<BR>\n" );
document.write( "b. what is the probability  that one book is a mystery and the otehr is a biography? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221837 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=221837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a bookshelf contains six mysteries and three biographies. two books are selected at random without replacement.<BR>\n" );
document.write( "a. what is the probability that both books are mysteries?<BR>\n" );
document.write( "P(2 mystery) = 6C2/9C2 == 15/36 = 5/12<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "b. what is the probability that one book is a mystery and the other is a biography?<BR>\n" );
document.write( "1st: P(2 bio) = 3C2/9C2 = 3/36 = 1/12<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "2nd: P(one of each) = 1 - [P(2 mystry) + P(2 bio)]<BR>\n" );
document.write( "= 1 - [5/12 + 1/12]<BR>\n" );
document.write( "= 1 - 6/12<BR>\n" );
document.write( "= 1/2<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );