document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=16285>Question 16285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you have a dark closet containing 7 blue shirts, 5 yellow shirts and 8 white shirts.  You pick 2 shirts from the closet. Find each probability.<BR>\n" );
document.write( " A. P(blue then yellow) with replacing<BR>\n" );
document.write( " B. P (blue then yellow) without replacing<BR>\n" );
document.write( " C. P (yellow then yellow) with replacing<BR>\n" );
document.write( " D. P (yellow then yellow) without replacing </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47504 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=47504\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose you have a dark closet containing 7 blue shirts, 5 yellow shirts and 8 white shirts. You pick 2 shirts from the closet. Find each probability.<BR>\n" );
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document.write( "A. P(blue then yellow) with replacing<BR>\n" );
document.write( "Because you are replacing the selections are independent.<BR>\n" );
document.write( "Although the problem says \"then\" it really means \"and\".<BR>\n" );
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document.write( "P(b and y)=P(b)*P(y)=(7/20)*(5/20)=35/400<BR>\n" );
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document.write( "B. P (blue then yellow) without replacing<BR>\n" );
document.write( "Now the selections are dependent:<BR>\n" );
document.write( "P(b and y)= p(b)*p(y|b) = (7/20)(5/19)=35/380<BR>\n" );
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document.write( "C. P (yellow then yellow) with replacing<BR>\n" );
document.write( "P(y and y)= (7/20(7/20)=49/400<BR>\n" );
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document.write( "D. P (yellow then yellow) without replacing<BR>\n" );
document.write( "P(y and y)=P(y)*P(y|y)=5/20 * 4/19= 1/19<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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