document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162747>Question 1162747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In my closet, I have only hats that are green and hats that are blue. If I were to randomly choose two hats from the closet, it is equally probable that they would be the same colour as it is that they would be different colours. A friend asks me “What is the probability that if you were to randomly choose two hats from your closet that both hats would be green?” My response is, “It is equal to the probability that if I instead randomly choose one hat from the closet, that hat will be blue.” How many blue hats do I have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786637 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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/cgi-bin/show-face.mpl?user=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=786637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have 6 blue hats and 10 green hats.<BR>\n" );
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document.write( "Probability of both hats being the same color = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286C2+%2B+10C2%29%2F%2816C2%29 ALIGN=MIDDLE  ALT=\"%286C2+%2B+10C2%29%2F%2816C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%21%2F%282%21%2A4%21%29%2B10%21%2F%282%21%2A8%21%29%29%2F%2816%21%2F%282%21%2A14%21%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815+%2B+45%29%2F120 ALIGN=MIDDLE  ALT=\"%2815+%2B+45%29%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F120 ALIGN=MIDDLE  ALT=\"60%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.5<BR>\n" );
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document.write( "If the probability of both hats being the same color is 0.5, then the probability of both hats NOT being the same color (different colors) is obviously also 0.5.<BR>\n" );
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document.write( "Probability of both hats being green = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810C2%29%2F%2816C2%29 ALIGN=MIDDLE  ALT=\"%2810C2%29%2F%2816C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%21%2F%282%21%2A8%21%29%29%2F%2816%21%2F%282%21%2A14%21%29%29 ALIGN=MIDDLE  ALT=\"%2810%21%2F%282%21%2A8%21%29%29%2F%2816%21%2F%282%21%2A14%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F120 ALIGN=MIDDLE  ALT=\"45%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.375<BR>\n" );
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document.write( "Probability of one hat being blue = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F16 ALIGN=MIDDLE  ALT=\"6%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.375 </SPAN>\n" );
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