document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201095>Question 1201095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John and Peter are playing tennis until someone wins n games. It is known that in each game, Jonas wins with probability p. What is the probability that the winner of the competition loses k games? (p = 0.84, n = 3, k = 1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835365 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52848)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=835365\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "John and Peter are playing tennis until someone wins n games. <BR>\n" );
document.write( "It is known that in each game, Jonas wins with probability p. <BR>\n" );
document.write( "What is the probability that the winner of the competition loses k games? <BR>\n" );
document.write( "(p = 0.84, n = 3, k = 1)<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It is a standard problem to calculate the binomial distribution probability.\r<BR>\n" );
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document.write( "The number of trials n= 3; the number of wins is 2 (the number of losses is 1);\r\n" );
document.write( "the probability to win each individual game is p= 0.84.\r\n" );
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document.write( "Use the standard formula of binomial distribution with given parameters\r\n" );
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document.write( "    P = P(n=3; k=2; p=0.84) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B3%5D%5E1%2Ap%5E2%2A%281-p%29%5E%283-2%29 ALIGN=MIDDLE  ALT=\"C%5B3%5D%5E1%2Ap%5E2%2A%281-p%29%5E%283-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A0.84%5E2%2A%281-0.84%29 ALIGN=MIDDLE  ALT=\"3%2A0.84%5E2%2A%281-0.84%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.3387 (rounded).    <U>ANSWER</U>\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "To see many other similar solved problems, &nbsp;look into the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-manually.lesson>Simple and simplest probability problems on Binomial distribution</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Typical-binomial-distribution-probability-problems.lesson>Typical binomial distribution probability problems</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Learn the entire subject from there.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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