document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190261>Question 190261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone please help..thanks<BR>\n" );
document.write( "Suppose that two teams called the Bears and Wildcats are in a playoff series where the first team to win 3 games wins the series. Let's suppose that for each game they play, the probability that the Bears win is 0.54 and the probability the Wildcats win is 0.46.<BR>\n" );
document.write( "What is the probability that the bears win the series in 3 games ?  .1574<BR>\n" );
document.write( "What is the probability that the wildcats win the series in 3 games?  .0973<BR>\n" );
document.write( "What is the probability that the bears win the series in 4 games? .216<BR>\n" );
document.write( "What is the probability that the wildcats win the series in 4 games? .156<BR>\n" );
document.write( "what is the probability that the bears win the series in 5 games?<BR>\n" );
document.write( "what is the probability that the wildcats win the series in 5 games?<BR>\n" );
document.write( "What is the probability that the bears win the series?<BR>\n" );
document.write( "what is the probability that the wildcats win the series ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142799 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=142799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that two teams called the Bears and Wildcats are in a playoff series where the first team to win 3 games wins the series. Let's suppose that for each game they play, the probability that the Bears win is 0.54 and the probability the Wildcats win is 0.46.<BR>\n" );
document.write( "What is the probability that the bears win the series in 3 games ? .1575<BR>\n" );
document.write( "What is the probability that the wildcats win the series in 3 games? .0973<BR>\n" );
document.write( "What is the probability that the bears win the series in 4 games? .216<BR>\n" );
document.write( "Patterns are LWWW, WLWW, WWLW <BR>\n" );
document.write( "Each has probability (0.54^3)(0.46)= 0.07243<BR>\n" );
document.write( "But all three are mutually exclusive so the probability = 3(0.07243) <BR>\n" );
document.write( "= 0.2173<BR>\n" );
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document.write( "What is the probability that the wildcats win the series in 4 games? .156<BR>\n" );
document.write( "Prob = 3*0.46^3*0.54 = 0.1577<BR>\n" );
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document.write( "what is the probability that the bears win the series in 5 games?<BR>\n" );
document.write( "# of patterns: 5C2 - 1= 10-1 = 9<BR>\n" );
document.write( "Probability of each pattern = (0.54)^3(0.46)^2 = 0.03332<BR>\n" );
document.write( "Ans: 9*0.3332 = 0.2999<BR>\n" );
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document.write( "what is the probability that the wildcats win the series in 5 games?<BR>\n" );
document.write( "Ans: 9*(0.46)^3(0.54)^2 = 0.2747<BR>\n" );
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document.write( "What is the probability that the bears win the series?<BR>\n" );
document.write( "They could win it in 4, or 5, or 6, or 7 games.<BR>\n" );
document.write( "Figure each probability and add them.<BR>\n" );
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document.write( "what is the probability that the wildcats win the series ?<BR>\n" );
document.write( "Same process as with the bears winning.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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