document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198912>Question 1198912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A weather forecast for Wednesday says that the probability of snow is 0.8, the probability for hail is 0.5, and the probability of both snow and hail is 0.3.\r<BR>\n" );
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document.write( "According to the forecast, which of the following is an accurate conclusion?\r<BR>\n" );
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document.write( "A) the events of snow and hail are independent \r<BR>\n" );
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document.write( "B) the events of snow and hail are disjoint \r<BR>\n" );
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document.write( "C) either snow or hail will definitely occur \r<BR>\n" );
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document.write( "D) the events of snow and hail are complementary  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832572 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52795)</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=832572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A weather forecast for Wednesday says that the probability of snow is 0.8, <BR>\n" );
document.write( "the probability for hail is 0.5, and the probability of both snow and hail is 0.3.<BR>\n" );
document.write( "According to the forecast, which of the following is an accurate conclusion?<BR>\n" );
document.write( "A) the events of snow and hail are independent<BR>\n" );
document.write( "B) the events of snow and hail are disjoint<BR>\n" );
document.write( "C) either snow or hail will definitely occur<BR>\n" );
document.write( "D) the events of snow and hail are complementary<BR>\n" );
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document.write( "(A)  They are not independent since \r\n" );
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document.write( "          P(snowing & hailing) = 0.3 =/= P(snowing)*P(hailing) = 0.8*0.5 = 0.4.\r\n" );
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document.write( "(B)  The events of snow and hail are NOT disjoint, since the probability of the intersection is not zero.\r\n" );
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document.write( "(C)  Either snow or hail will definitely occur: YES, correct, since the sum\r\n" );
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document.write( "         P(snowing OR hailing) = P(snowing) + P(hailing - P(both) = 0.8 + 0.5 - 0.3  is 1.0.\r\n" );
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document.write( "(D)  The events of snow and hail are NOT complementary, since the sum of probabilities\r\n" );
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document.write( "         P(snowing) + P(hailing) = 0.8 + 0.5 = 1.3  is not equal to 1.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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