document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204809>Question 204809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains two black balls and three gold balls. Two<BR>\n" );
document.write( "balls are randomly drawn in succession from the box.<BR>\n" );
document.write( "a. If there is no replacement, what is the probability<BR>\n" );
document.write( "that both balls are black?<BR>\n" );
document.write( "b. If there is replacement before the second draw, what<BR>\n" );
document.write( "is the probability that both balls are black?<BR>\n" );
document.write( " I am having a hard time putting these into formulas.  The answers I got are a. 2/3 and b. 2/5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154570 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=154570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A box contains two black balls and three gold balls. Two<BR>\n" );
document.write( "balls are randomly drawn in succession from the box.<BR>\n" );
document.write( "a. If there is no replacement, what is the probability<BR>\n" );
document.write( "that both balls are black?<BR>\n" );
document.write( "Ans: P(black and black) = P(black)*P(black | black) <BR>\n" );
document.write( "= (2/5)(1/4) = 2/20 = 1/10<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "b. If there is replacement before the second draw, what<BR>\n" );
document.write( "is the probability that both balls are black?<BR>\n" );
document.write( "Ans: P(black and black) = (2/5)(2/5) = 4/25<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );