document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145042>Question 145042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Reeba has 17 socks in her drawer. 8 blues and 9 greens. She selects 5 socks at random. what is the probabilty that she gets:<BR>\n" );
document.write( "a. 2 blues and 3 green<BR>\n" );
document.write( "b. 3 blue and 2 green<BR>\n" );
document.write( "c. at least one blue<BR>\n" );
document.write( "d. no greens<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105739 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=105739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Reeba has 17 socks in her drawer. 8 blues and 9 greens. She selects 5 socks at random. what is the probabilty that she gets:<BR>\n" );
document.write( "a. 2 blues and 3 green<BR>\n" );
document.write( "# of ways to pick 2 blue = 8C2 = 8*7/1*2 = 28<BR>\n" );
document.write( "# of ways to pick 3 green = 9C3 = 9*8*7/1*2*3 = 84<BR>\n" );
document.write( "# of ways to pick 5 of any color = 17C5 = <BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Therefore P(2 blue and 3 green) = [28*84]/17C5 = 0.38<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "b.P(3 blue and 2 green) = [8C3 * 9C2]/[17C5] = 0.32579...<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "c.P(at least one blue) = 1 -P(no blue) = 1 - [9C5/17C5] = 0.9796...<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "d.P(no greens) = 8C5/17C5 \r<BR>\n" );
document.write( "\n" );
document.write( "----------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );