document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948379>Question 948379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with my homework question.  There are 30 guests, and only 15 free door prizes. What are the chances my husband and I will win a free door prize?\r<BR>\n" );
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document.write( "15/30 = .50\r<BR>\n" );
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document.write( "2/15 = .133 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578878 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=578878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you and your husband are considered to win the prize together, ie you have one ticket you share, then it is 15/30 = 1/2 = 0.50 = 50%\r<BR>\n" );
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document.write( "If you both have your own tickets and you're asking \"what are the chances we both win a prize?\", then...\r<BR>\n" );
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document.write( "P(both win) = P(you win)*P(your husband wins)\r<BR>\n" );
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document.write( "P(both win) = (15/30)*(14/29) ... assuming nonreplacement\r<BR>\n" );
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document.write( "P(both win) = 7/29\r<BR>\n" );
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document.write( "P(both win) = 0.241379 which is roughly 24.1379% </SPAN>\n" );
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