document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039820>Question 1039820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the chance of rain for each of the next three days is 50%, You are planning an outdoor activity and want to estimate the chance that it will not rain at least one of the days. A coin was used to similate the weather each day. There was obtained 20 sets of three days (R for rain) means that there was a rain in the given day and (s for sunny means that there wasn't rain. Row one had 9 R and 11 S, row two has 11 R and 9 S, and row three has 11 R and 9 S. What is the experimental probability that it will not rain at least one of the three days? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654895 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=654895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you have 3 sets of data of 20 sample points each.<BR>\n" );
document.write( "each set represents 1 of the 3 days.\r<BR>\n" );
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document.write( "the data tells you the following:\r<BR>\n" );
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document.write( "day           sunny         rain       total         p(rain)\r\n" );
document.write( "1               11            9          20            9/20\r\n" );
document.write( "2               9             11         20            11/20\r\n" );
document.write( "3               9             11         20            11/20\r\n" );
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document.write( "</PRE>\r<BR>\n" );
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document.write( "the experimental probability that it will rain on all 3 days is 9/20 * 11/20 * 11/20 = .136125\r<BR>\n" );
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document.write( "the experimental probability that it will not rain on at least 1 of those days = 1 minus the probability that it will rain on all 3 of those days which is equal to 1 - .136125 = .863875.\r<BR>\n" );
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document.write( "my interpretation of this problem is that each day had 20 coin flips to determine the probability that it would be sunny on that day or rainy on that day.\r<BR>\n" );
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document.write( "the results were based on that interpretation.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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