document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=391927>Question 391927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an unfair coin will turn up heads 4 out of 5 times (i.e. P(heads)=0.8). what is the probability that<BR>\n" );
document.write( "a) on three tosses we get a heads, then a tails, then a heads.<BR>\n" );
document.write( "b) on two tosses we get a heads and a tails (in any order)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278141 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=278141\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> probability of getting heads = 0.8 and for getting tails = 0.2\r<BR>\n" );
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document.write( "a) probability of getting a heads, then a tails then a heads = 0.8 * 0.2 * 0.8 \r<BR>\n" );
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document.write( "= 0.128\r<BR>\n" );
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document.write( "b) probability of different cases\r<BR>\n" );
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document.write( "case 1: firstly head then tail = 0.8 * 0.2 = 0.16\r<BR>\n" );
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document.write( "case 2 :  firstly tail then head =  0.2 *0.8 = 0.16\r<BR>\n" );
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document.write( "thus, total probability of a heads and a tail = 0.16 + 0.16 = 0.32\r<BR>\n" );
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