document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214954>Question 214954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a lottery game the six winning numbers are chosen at random from<BR>\n" );
document.write( "the set f {1,2,3 ..... 36}. Your entry consists of a similar choice. Find the<BR>\n" );
document.write( "probability of:<BR>\n" );
document.write( "(a) a win (i.e. your entry matches the winning numbers)<BR>\n" );
document.write( "(b) a match four (i.e. exactly four of your entries have been chosen as<BR>\n" );
document.write( "winning numbers) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162429 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=162429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  In a lottery game the six winning numbers are chosen at random from<BR>\n" );
document.write( "the set f {1,2,3 ..... 36}. Your entry consists of a similar choice. Find the<BR>\n" );
document.write( "probability of:<BR>\n" );
document.write( "(a) a win (i.e. your entry matches the winning numbers)<BR>\n" );
document.write( "# of sets of 6 numbers = 36C6 = 1947792<BR>\n" );
document.write( "# of winniing sets of 6 numbers = 1<BR>\n" );
document.write( "P(winning) = 1/1947792<BR>\n" );
document.write( "Suggestion: Save your money<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "(b) a match four (i.e. exactly four of your entries have been chosen as<BR>\n" );
document.write( "winning numbers)<BR>\n" );
document.write( "# of sets of 4 of the winning numbers = 6C4 = 6C2 = 6*5/1*2 = 15<BR>\n" );
document.write( "P(match of four) = 15/1947792<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );