document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763117>Question 763117</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! A coin is flipped three times. Let A be the event that the outcome of the first flip is a heads.Let B be the be the event that the outcomes of second and third flips are both tails.What is the probability that the outcomes of the second and third flips are both tails, given that the first one is a heads? Are A and B independent? Why or why not? Please! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464490 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=464490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A coin is flipped three times. Let A be the event that the outcome of the first flip is a heads.Let B be the be the event that the outcomes of second and third flips are both tails.\r<BR>\n" );
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document.write( "What is the probability that the outcomes of the second and third flips are both tails, given that the first one is a heads? \r<BR>\n" );
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document.write( "P(B|A) = P(A &#8745; B)/P(A)<BR>\n" );
document.write( "       = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.5%5E3%29%2F0.5 ALIGN=MIDDLE  ALT=\"%280.5%5E3%29%2F0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "       = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.25%29 ALIGN=MIDDLE  ALT=\"highlight%280.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Are A and B independent? Why or why not?\r<BR>\n" );
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document.write( "A and B are independent because P(B|A) = P(B).<BR>\n" );
document.write( "P(B|A) = 0.25 and P(B) = 0.25. </SPAN>\n" );
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