document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166428>Question 1166428</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following table represents the age of drivers (in years) and the major causes of 1318 car accidents.\r<BR>\n" );
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document.write( "Age	     Speeding	 Careless Driving	Drinking and Driving	                      Total<BR>\n" );
document.write( "Below 25	278	       77	                       285	                       640<BR>\n" );
document.write( "25 and above	296	      204	                       178	                       678<BR>\n" );
document.write( "Total	        574	      281	                       463	                       1318\r<BR>\n" );
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document.write( "Round all final answers to 4 decimal places in the following questions.\r<BR>\n" );
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document.write( "(a) Find the probability that a randomly chosen car accident is caused by a careless driver under 25 years old. \r<BR>\n" );
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document.write( "(b) Find the probability that a randomly chosen car accident is caused by either drinking and driving or speeding. \r<BR>\n" );
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document.write( "(c) Find the probability that a randomly chosen car accident is caused by either drinking and driving or a driver under 25 years old. \r<BR>\n" );
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document.write( "(d) Given that a car accident was caused by speeding, calculate the probability that the driver was at least 25 years old. \r<BR>\n" );
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document.write( "(e) If two car accidents are randomly chosen (without replacement), calculate the probability that they are both caused by careless driving </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790953 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=790953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Age	                Speed	 Careless 	Drinking and Driving	Total<BR>\n" );
document.write( "Below 25	        278	       77	                       285	                       640<BR>\n" );
document.write( "25 and above	296	      204	                       178	                       678<BR>\n" );
document.write( "Total	        574	      281	                       463	                       1318\r<BR>\n" );
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document.write( "a. 77/1318 or 0.0584. The others I will leave in fractional form and they can be converted to decimal.<BR>\n" );
document.write( "b. the two add to 1037, and there is no double counting. The fraction is 1037/1318<BR>\n" );
document.write( "c. Drinking and Driving is 463, driver under 25 is 640. Both (double counted) is 285 and is subtracted<BR>\n" );
document.write( "so the fraction is 818/1318<BR>\n" );
document.write( "d. given speeding (574 denominator) at least 25 is 296, so fraction is 296/574.<BR>\n" );
document.write( "e. careless driving is 281/1318 or 0.2132. Both would be 0.2132^2 or 0.0455<BR>\n" );
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