document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191431>Question 1191431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that 4 books are picked at random from a shelf containing 6 ​novels, 5 books of​ poems, and a dictionary.<BR>\n" );
document.write( "​(a) Find the probability that the dictionary is selected.<BR>\n" );
document.write( "​(b) Find the probability that 1 novel  and 3 books  of poems are selected.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823231 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823231\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12C4 number of ways to pick 4 from 12<BR>\n" );
document.write( "for a dictionary, the numerator is 11C3*1C1<BR>\n" );
document.write( "The probability is 165/495 or 1/3<BR>\n" );
document.write( "another way is probability= 1- not a dictionary, which is  1-(11/12)(10/11)(9/10)(8/9)=1-(8/12)=1/3<BR>\n" );
document.write( "-<BR>\n" );
document.write( "the numerator is 6C1*5C3=60, so the probability is 60/495=12/95 </SPAN>\n" );
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