document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094176>Question 1094176</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A is an event, and Ac is the complement of A. Which of the following statements are true? (There are more than one true statements) SHOW WORK<BR>\n" );
document.write( " (a) P(A AND A^c )=0<BR>\n" );
document.write( "(b) P(A AND A^c )=1<BR>\n" );
document.write( "(c) P(A OR A^c )=0<BR>\n" );
document.write( "(d) P(A OR A^c )=1<BR>\n" );
document.write( " </SPAN>\n" );
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document.write( "A is some event while A^c is the complement of said event. \r<BR>\n" );
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document.write( "What this means is that if event A doesn't happen, then surely A^c will happen. <BR>\n" );
document.write( "The same can be said in reverse: If A^c doesn't happen then event A will happen. \r<BR>\n" );
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document.write( "These two events are completely opposite in nature. <BR>\n" );
document.write( "So P(A and A^c) = 0 because it's impossible to have BOTH happen at the same time. <BR>\n" );
document.write( "<font color=red>So choice A is true making choice B to be false. </font>\r<BR>\n" );
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document.write( "Similarly, P(A or A^c) = 1 because either one or the other must happen, giving us 100% certainty of this compound event. <BR>\n" );
document.write( "<font color=red>That makes choice D true and choice C false. </font><BR>\n" );
document.write( "</font> </SPAN>\n" );
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