document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204461>Question 204461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have two bags. In each bag you have five balls labeled 1-5. If you randomly  pick a ball from each bag, what is the probability that the balls picked will be the sum of nine? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154361 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=154361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simply draw up a two dimensional table in which the left hand side represents bag 1 and the top represents bag 2. Any cell is simply the sum of its corresponding left side and top side.\r<BR>\n" );
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document.write( "<th></th><th><font color=red>1</font></th><th><font color=red>2</font></th><th><font color=red>3</font></th><th><font color=red>4</font></th><th><font color=red>5</font></th></tr><tr><th><font color=red>1</font></th><TD >2</TD><TD >3</TD><TD >4</TD><TD >5</TD><TD >6</TD></tr><tr><th><font color=red>2</font></th><TD >3</TD><TD >4</TD><TD >5</TD><TD >6</TD><TD >7</TD></tr><tr><th><font color=red>3</font></th><TD >4</TD><TD >5</TD><TD >6</TD><TD >7</TD><TD >8</TD></tr><tr><th><font color=red>4</font></th><TD >5</TD><TD >6</TD><TD >7</TD><TD >8</TD><TD >9</TD></tr><tr><th><font color=red>5</font></th><TD >6</TD><TD >7</TD><TD >8</TD><TD >9</TD><TD >10</TD></tr>\n" );
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document.write( "Note: the red values represent the numbers on the balls and the black values are the sums.\r<BR>\n" );
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document.write( "Now looking at the table, we can see that there are only 2 sums of 9 (namely 5 and 4 or 4 and 5). Since there are a total of 25 possible sums (5*5=25), this means that the probability is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F25 ALIGN=MIDDLE  ALT=\"2%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > or 0.08 in decimal form (which is an 8% chance). </SPAN>\n" );
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