document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201891>Question 1201891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a lottery game, a player picks six numbers from 1 to 38. If 5 of the 6 match the winning numbers, then the player wins the second prize. What is the probability of winning the second prize? <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 #836448 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836448\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The number of ways to choose 6 of the 38 numbers is, literally \"38 choose 6\":<br><BR>\n" );
document.write( "C(38,6) = 2760681<br><BR>\n" );
document.write( "To win a second prize, you need to get 5 of the 6 winning numbers and 1 of the other 32 numbers:<br><BR>\n" );
document.write( "C(6,5)*C(32,1) = 6*32 = 192<br><BR>\n" );
document.write( "The probability of winning a second prize is<br><BR>\n" );
document.write( "192/2760681 = 64/920227<br><BR>\n" );
document.write( "ANSWER: 64/920227, or about 0.0000695<br><BR>\n" );
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