document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252358>Question 252358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If three fair dice are tossed and the product of the numbers that appear is even, what is the probability that the sum of the numbers is also even?\r<BR>\n" );
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document.write( "a  2/5   b 3/5   c  4/7   d  5/7    e  7/9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184270 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=184270\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What the question wants is P (the sum is even, given the product is even). The formula for this is\r<BR>\n" );
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document.write( "P(sum even AND product even) / P(product even)\r<BR>\n" );
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document.write( "we toss three times, which means 8 total possible outcomes. Of those 8, the product is even 7 times and the sum is even 4 times. You can easily create a table for these.\r<BR>\n" );
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document.write( "(i) the product AND sum are even 4 times<BR>\n" );
document.write( "(ii) the product is even by itself 7 times.\r<BR>\n" );
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document.write( "We have (4/8) / (7/8) = 4/7 which appears to be choice [ C ]. </SPAN>\n" );
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