document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=611114>Question 611114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 15 cards number 1 through 15 and two cards are drawn with replacement. <BR>\n" );
document.write( "a) find the probability tht both are less than 5<BR>\n" );
document.write( "b) find the probability that the first is less than 5 and the 2nd is greater than 12. <BR>\n" );
document.write( "[for a. I tired 5/15 x 5/15 = 1/9, but that is incorrect.  For b. 5/15 x 12/15 = 4/15, which is also incorrect. Your explination is greatly appreciated. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #384807 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=384807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are on the right track.<BR>\n" );
document.write( "But you said there are 5 chances out of 15 that the card is less than 5. IN fact, there are only 4 chances (1, 2, 3 and 4) . The fifth card would be a 5, which is NOT less than 5.<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F15+%2A+4%2F15+=+16%2F225 ALIGN=MIDDLE  ALT=\"4%2F15+%2A+4%2F15+=+16%2F225\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For b, you have 4/15 at less than 5 and 3/15 at greater than 12<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F15+%2A+3%2F15+=+12%2F225+=+4%2F75 ALIGN=MIDDLE  ALT=\"4%2F15+%2A+3%2F15+=+12%2F225+=+4%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Do those match the answers?? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );