document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094336>Question 1094336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 5 quarters, 2 dimes and 6 pennies in a jar. If you pull three at random what is the probability that you will have three coins with the sum of 36 cents?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #708933 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=708933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>You choosing 3 of the 13 coins in the jar; the number of ways to do that is \"13 choose 3\":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2813%2C3%29+=+286 ALIGN=MIDDLE  ALT=\"C%2813%2C3%29+=+286\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "In order to get a total value of 36 cents, the three coins must be 1 quarter, 1 dime, and 1 penny.<br><BR>\n" );
document.write( "So you need to choose 1 of the 5 quarters (\"5 choose 1\" = 5 different ways), 1 of the 2 dimes (\"2 choose 1\" = 2 ways), and 1 of the 6 pennies (\"6 choose 1\" = 6 ways).<br><BR>\n" );
document.write( "So the total number of ways to get 1 of each coin is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%285%2C1%29%2AC%282%2C1%29%2AC%286%2C1%29+=+5%2A2%2A6+=+60 ALIGN=MIDDLE  ALT=\"C%285%2C1%29%2AC%282%2C1%29%2AC%286%2C1%29+=+5%2A2%2A6+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then the probability of getting that desired outcome is the total number of way to get the desired outcome, divided by the total number of ways of picking 3 of the 13 coins:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+60%2F286+=+30%2F143 ALIGN=MIDDLE  ALT=\"P+=+60%2F286+=+30%2F143\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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