document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175661>Question 175661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Diana has a box containing 6 blue, 8 red, 5 purple, 9 green, and 2 clear marbles that are all the same size and shape.  What is the probability of randomly choosing a clear marble on the first pick; replacing it, and then randomly choosing a purple marble on the second pick? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130763 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=130763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Take note that there are 30 marbles (6 blue + 8 red + 5 purple + 9 green + 2 clear = 30 total)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(picking clear marble on first pick) = # of clear marbles/# total = 2/30 = 1/15\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since the first marble was replaced, this means that\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(picking purple marble on second pick) = # of purple marbles/# total = 5/30 = 1/6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "----------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now the chances of the two events occurring are:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(picking clear marble on first pick AND picking purple marble on second pick) = P(picking clear marble on first pick) * P(picking purple marble on second pick) = (1/15)(1/6)=1/90\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the probability is 1/90 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );