document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=940217>Question 940217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help ! One enterprising gambler decides to take a bet that if he flips a coin 7 times in a row and rolls a die 7 times in a row, he will get exactly 3 heads or 2 sixes. What are his odds of winning the bet ? (answer to the nearest hundredth percent ) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #573008 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=573008\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One enterprising gambler decides to take a bet that if he flips a coin 7 times in a row and rolls a die 7 times in a row, he will get exactly 3 heads or 2 sixes. What are his odds of winning the bet ? (answer to the nearest hundredth percent )<BR>\n" );
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document.write( "P(3 heads in 7 rolls) = 7C3(1/2)^7 = 0.2734<BR>\n" );
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document.write( "P(2 sixes) = 7C2(1/6)^2(5/6)^5 = 0.2344<BR>\n" );
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document.write( "P(win) = 0.2734+0.2344 = 0.5078<BR>\n" );
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document.write( "P(not win) = 1-0.5078 = 0.4922<BR>\n" );
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document.write( "Ans: Odds of winning = P(win)/P(not winning) :::: 0.5078/0.4922<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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