document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964912>Question 964912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the errors in each of the following statements:<BR>\n" );
document.write( "(a) The probabilities that an automobile salesperson<BR>\n" );
document.write( "will sell 0, 1, 2, or 3 cars on any given day in February<BR>\n" );
document.write( "are, respectively, 0.19, 0.38, 0.29, and 0.15.<BR>\n" );
document.write( "(b) The probability that it will rain tomorrow is 0.40,<BR>\n" );
document.write( "and the probability that it will not rain tomorrow<BR>\n" );
document.write( "is 0.52.<BR>\n" );
document.write( "(c) The probabilities that a printer will make 0, 1, 2,<BR>\n" );
document.write( "3, or 4 or more mistakes in setting a document are,<BR>\n" );
document.write( "respectively, 0.19, 0.34,&#8722;0.25, 0.43, and 0.29.<BR>\n" );
document.write( "(d) On a single draw from a deck of playing cards, the<BR>\n" );
document.write( "probability of selecting a heart is 1/4, the probability<BR>\n" );
document.write( "of selecting a black card is 1/2, and the probability<BR>\n" );
document.write( "of selecting both a heart and a black card is<BR>\n" );
document.write( "1/8. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589718 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=589718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) Assuming this is the entire sample space, the probabilities don't sum to 1, which they must.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.19%2B0.38%2B0.29%2B0.15=1.01 ALIGN=MIDDLE  ALT=\"0.19%2B0.38%2B0.29%2B0.15=1.01\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "b) Rain and not rain are the only two possibilities. Their probabilities must sum to 1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.40%2B0.52=0.92 ALIGN=MIDDLE  ALT=\"0.40%2B0.52=0.92\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "c) Negative probabilities are not allowed.<BR>\n" );
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document.write( "d) Hearts are red. So the possibility of drawing a heart and black card must be zero, assuming a standard deck.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );