document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087657>Question 1087657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My Question: If THREE cards are dealt from a 52 card deck, what is the probability that at least one of those cards will be an Ace, Jack, or Seven?\r<BR>\n" );
document.write( "\n" );
document.write( "My Thoughts: There are 4 Aces, 4 Jacks, and 4 Sevens in a 52 card deck. If you are dealt one card, you have a 12/52 or 23.1% chance that the card dealt is an Ace, Jack, or Seven. But I have no idea what the next step is when figuring out the probability if 3 cards are dealt. If I did 12/52+12/51+12/50, then the answer would be 70.6% which seems too high. PLEASE HELP! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701956 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=701956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A = { A, J, or 7 drawn }<BR>\n" );
document.write( "B = { all the other cards }\r<BR>\n" );
document.write( "\n" );
document.write( "So yes, there are 12 cards of interest.   That means there are 40 other cards. \r<BR>\n" );
document.write( "\n" );
document.write( "Pr(A) = 1 - Pr(only cards from B are drawn)<BR>\n" );
document.write( "          = 1 - (40/52)*(39/51)*(38/50)<BR>\n" );
document.write( "           = 1 - (38/(17*5))  <BR>\n" );
document.write( "           ~= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%280.55294%29+ ALIGN=MIDDLE  ALT=\"+highlight%280.55294%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "( ~= used to indicate approximation) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );