document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=367943>Question 367943</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We're just getting into statistics and my teacher is very helpful, but I'm still having a bit of trouble understanding how to set up a probability question for this problem: \"Probability and Odds for Drawing a Card - For the experiment of drawing a single card from a standard 52-card deck, find (a) the probability, and (b) the odds in favor, of each event.\" \r<BR>\n" );
document.write( "\n" );
document.write( "The specific question I'm asking about is the probability and odds of drawing a \"Spade or Face Card.\"  I'm not wanting someone do just do it for me, but rather show how to write it to solve, ex: P(Spade or Face card), and kind of explain it from there (what to do with the variables in the parenthesis, etc).\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #262247 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=262247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The probability of anything is the number of outcomes you consider to be a success divided by the total number of outcomes.  You want to draw a single card from a standard 52-card deck.  That means there are 52 possible outcomes -- and we already have the denominator of our fraction.  There are 13 spades in the deck and there are 3 face cards per suit and 4 suits, so there are 12 face cards.  But 3 of those 12 face cards are spades which we already counted when we counted the 13 spades.  So we have 13 spades plus 9 face cards that are not spades for a total of 22 possible sucessful draws.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(Spade or Face) = <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{22}{52}\ =\ \frac{11}{26}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Just a touch over 42%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If the odds in favor are <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large m:n\">, then the probability is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{m}{m\ +\ n}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For your problem then, the probability was <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{11}{26}\ =\ \frac{11}{11\ +\ 15}\">, hence the odds in favor are <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 11:15\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png\" border=\"0\" alt=\"The Out Campaign: Scarlet Letter of Atheism\" width=\"143\" height=\"122\" /></a></div><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );