document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73212>Question 73212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if you randomly select 2 cards from a standard 52-card deck. find the probability that the first card and the second card is red if <BR>\n" );
document.write( "a: you replace the first card before selecting the second<BR>\n" );
document.write( "b: you do not replace the first card </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52443 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=52443\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if you randomly select 2 cards from a standard 52-card deck. find the probability that the first card and the second card is red if <BR>\n" );
document.write( "a: you replace the first card before selecting the second<BR>\n" );
document.write( "Ans: If you replace the card the events are independent; that means what<BR>\n" );
document.write( "happened on the 1st draw has no effect on what happens on the 2nd draw.<BR>\n" );
document.write( "In that case P(red and red)= p(red)*P(red) = 1/2*1/2 = 1/4=0.25<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "b: you do not replace the first card<BR>\n" );
document.write( "Now the events are dependent because you are drawing the 2nd card from <BR>\n" );
document.write( "a \"different\" deck; the deck is not missing one red card.<BR>\n" );
document.write( "P(red and red) = p(red)*P(red|red) = (26/52) * (25/51) = (1/2)(25/51)<BR>\n" );
document.write( "=25/102=0.245098... <BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );