document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1113529>Question 1113529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> STATISTICS. Suppose two numbers, x and y, generated at random, where 0 < x < 5  and 0 < y <10. What is the probability that the sum is less than or equal to 2? [hint: x and y are not discrete variables. Use the concept of geometric probability] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #728616 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=728616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The \"sample space\" is the region in the xy plane bounded by  x=0 and x=5 and by y=0 and y=10; the area of that region is 5*10=50.<br><BR>\n" );
document.write( "The outcomes we want are those bounded by x=0, y=0, and x+y=2.  The area of that triangular region is (1/2)(2)(2) = 2.<br><BR>\n" );
document.write( "The probability that the sum of the two numbers is less than or equal to 2 is 2/50 = 1/25. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );