document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115400>Question 1115400</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a normal deck of 52 cards what is the probability that the card is<BR>\n" );
document.write( "a) divisible by 3 <BR>\n" );
document.write( "b) a 7 of any suit or a diamond  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730270 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=730270\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a normal deck of 52 cards what is the probability that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28the%29 ALIGN=MIDDLE  ALT=\"cross%28the%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > a card drawn is<BR>\n" );
document.write( "a) divisible by 3 <BR>\n" );
document.write( "b) a 7 of any suit or a diamond <BR>\n" );
document.write( "====================================================\r<BR>\n" );
document.write( "\n" );
document.write( "a)  divisible by 3:  those are cards with rank 3, 6, or 9.  Arguably one could include Q as well, it depends on the game.   Many games treat all face cards as \"10\" but in games like poker, Q is greater than 10.  <br>         \r<BR>\n" );
document.write( "\n" );
document.write( "Using 3,6, or 9 only:   P(3,6,or 9) =  12/52 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28+3%2F13+%29+ ALIGN=MIDDLE  ALT=\"highlight%28+3%2F13+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using 3,6,9, or Q:   P(3,6,9, or Q) =  16/52 =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28+4%2F13+%29+ ALIGN=MIDDLE  ALT=\"highlight%28+4%2F13+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<br>\r<BR>\n" );
document.write( "\n" );
document.write( "b)  There are four 7's and 13 diamonds:   4/52 + 13/52  = 17/52  <BR>\n" );
document.write( "However, the 7 of diamonds has been counted twice, so  the answer is  17/52 - 1/52 = 16/52 =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28+4%2F13+%29+ ALIGN=MIDDLE  ALT=\"highlight%28+4%2F13+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );