document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257278>Question 257278</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the experiment of drawing two cards<BR>\n" );
document.write( "without replacement from an ordinary deck of 52 playing cards. What are the odds in favor of drawing a spade and a heart?\r<BR>\n" );
document.write( "\n" );
document.write( "This is as far as I could get: \r<BR>\n" );
document.write( "\n" );
document.write( "The odds of drawing a spade is 13/52, and the odds of drawing a heart is 13/51. The probability of drawing a spade and a heart would be 13/52 * 13/51 = \r<BR>\n" );
document.write( "\n" );
document.write( "Please help me figure this problem out. I'm so confused. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189221 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=189221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Odds of drawing a spade: P(Spade)=13/52=1/4<BR>\n" );
document.write( "Odds of drawing a heart (after drawing a first card without replacement): P(heart)=13/51\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Odds of drawing a spade and then a heart (without replacement): P(spade and heart)=(1/4)*(13/51)=13/204\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the probability is 13/204 which in decimal form is 0.0637 which is a 6.37% chance. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );