document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030146>Question 1030146</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "Can someone please help me with this.\r<BR>\n" );
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document.write( "The chances of James winning a game are 0.55. What is the probability of James winning the game in 3rd trial?<BR>\n" );
document.write( "	0.11<BR>\n" );
document.write( "	0.42<BR>\n" );
document.write( "	0.16<BR>\n" );
document.write( "	0.33<BR>\n" );
document.write( "I have got the answer as 0.16 but not confident. I have used BINOM.DIST(3,3,0.55,FALSE) in excel. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645045 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> probability of winning is .55<BR>\n" );
document.write( "probability of losing is 1 - .55 = .45<BR>\n" );
document.write( "probability of winning in the third trial would be .45 * .45 * .55 = .111375 which rounds to .11.\r<BR>\n" );
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document.write( "your are using the binomial distribution.<BR>\n" );
document.write( "that tells you how many successes you get out of 3 tries.<BR>\n" );
document.write( "probabillity of success = .55<BR>\n" );
document.write( "probability of failure = .45\r<BR>\n" );
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document.write( "that formula is p(x) = c(n,x) * p^x * q^(n-x)\r<BR>\n" );
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document.write( "what you entered should get you c(3,3) * .55^3 * .45^0 = .166375\r<BR>\n" );
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document.write( "what that is telling you is the probably of winning all 3 games out of 3.\r<BR>\n" );
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document.write( "that's not the same as winning only the third game.\r<BR>\n" );
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document.write( "i think your solution is .11.\r<BR>\n" );
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document.write( "it's the probability of losing the first 2 games times the probability of winning the third game.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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