document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1075567>Question 1075567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If  You play a game in which your chance of winning is 40 percent. You play a total of 13 games. <BR>\n" );
document.write( "a)Find the probability of losing all 13 games. \r<BR>\n" );
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document.write( "b)Find the probability of winning exactly 5 games. \r<BR>\n" );
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document.write( "c)Find the probability of winning 5 or 6 games.  \r<BR>\n" );
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document.write( "d)Find the probability of winning at least one game.  \r<BR>\n" );
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document.write( "IS there a formula??????\r<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 #690236 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=690236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X%29=C%2813%2CX%29%2A%280.4%29%5EX%2A%281-0.4%29%5E%2813-X%29 ALIGN=MIDDLE  ALT=\"P%28X%29=C%2813%2CX%29%2A%280.4%29%5EX%2A%281-0.4%29%5E%2813-X%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where X is the number of wins.<BR>\n" );
document.write( "Make up a chart using EXCEL or by hand.<BR>\n" );
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document.write( "Here's my chart from EXCEL. <BR>\n" );
document.write( "As a check the sum of the probabilities should equal 1.<BR>\n" );
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document.write( "a)Losing 13 means winning 0.<BR>\n" );
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document.write( "b)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%285%29=0.2214 ALIGN=MIDDLE  ALT=\"P%285%29=0.2214\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=P%285%29%2BP%286%29=0.4181 ALIGN=MIDDLE  ALT=\"P=P%285%29%2BP%286%29=0.4181\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "d) Winning 1 games means not losing all of them so use the complement of the answer to a).<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.9987 ALIGN=MIDDLE  ALT=\"P=0.9987\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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