document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182681>Question 1182681</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ahmad is fishing in a new pond stocked with 5 catfish, 7 seabass, and 8 tilapia. Ahmad's objective is to catch a Catfish. ifa catfish is not caught. he releases it into the pond and the process is repeated until a catfish is caught. the probability that the second fish caught is seabass is 21/80. find the probability that either the second fish caught is seabass or the forth fish cought is catfish. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813580 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P((2nd fish is seabass) U (4th fish is catfish)) = <BR>\n" );
document.write( "P(2nd fish is seabass) + P(4th fish is catfish) -P((2nd fish is seabass) AND (4th fish is catfish)).<BR>\n" );
document.write( "Now  P(2nd fish is seabass) = 21/80, while P(4th fish is catfish) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29%5E3%2A%281%2F4%29+=+27%2F256 ALIGN=MIDDLE  ALT=\"%283%2F4%29%5E3%2A%281%2F4%29+=+27%2F256\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since P(fish caught is not catfish) = 3/4 and P(fish caught is catfish) = 1/4.  <BR>\n" );
document.write( "(Remember the non-catfish caught is thrown back to the pond until a catfish is caught).\r<BR>\n" );
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document.write( "==>P(2nd fish is seabass) + P(4th fish is catfish) - P((2nd fish is seabass) AND (4th fish is catfish)) = 21/80 + 27/256  - 1575/32000 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2851%2F160%29 ALIGN=MIDDLE  ALT=\"highlight%2851%2F160%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.31875%29 ALIGN=MIDDLE  ALT=\"highlight%280.31875%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "***P((2nd fish is seabass) AND (4th fish is catfish)) = P(s,s,s,c) + P(s,s,t,c)<BR>\n" );
document.write( "+ P(t,s,s,c) + P(t,s,t,c) = 1575/32,000.*** </SPAN>\n" );
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