document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227905>Question 227905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a deck of 52 card If you draw 3 cards and replace after each draw what is the probability of picking hearts one or more times?\r<BR>\n" );
document.write( "\n" );
document.write( "I think it might be 12/52.. there are 12 hearts 52 cards and since its being replaced the probabilty will stay the same?  OR is it 12/52+12/52+12/52=36/52?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169305 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=169305\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a deck of 52 card If you draw 3 cards and replace after each draw what is the probability of picking hearts one or more times? <BR>\n" );
document.write( "I think it might be 12/52.. there are 12 hearts 52 cards and since its being replaced the probabilty will stay the same? OR is it 12/52+12/52+12/52=36/52? <BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Since you are replacing the card after drawing, the events are independent.<BR>\n" );
document.write( "This is a binomial problem with n=3, p=1/4, 1<=x<=3<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "P(at least one heart) = 1 - P(no hearts)<BR>\n" );
document.write( "= 1 - (3/4)^3 = 0.5781<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );