document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142154>Question 142154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If two marbles are drawn randomly from the jar in a jar with 13 black and 12 red marbles, what is the probability that the first is red and the second is black if the the marbles are drawn  (a) with replacement? (b) without replacement </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103507 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=103507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If two marbles are drawn randomly from the jar in a jar with 13 black and 12 red marbles, <BR>\n" );
document.write( "what is the probability that the first is red and the second is black if the the marbles are drawn  <BR>\n" );
document.write( "(a) with replacement? <BR>\n" );
document.write( "Independent Case:<BR>\n" );
document.write( "P(red and black) = P(red) * P(black) = 12/25 *13/25 = <BR>\n" );
document.write( "-----------------------\r<BR>\n" );
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document.write( "(b) without replacement<BR>\n" );
document.write( "Dependent Case:<BR>\n" );
document.write( "P(red and black) = P(red) * P(black|red)<BR>\n" );
document.write( "= 12/25 * 13/24 <BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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