document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=840200>Question 840200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A biased coin is tossed. The probability of getting a head is 0.8 and the probability of getting a tail is 0.2. What is the probability of getting the 3rd head in the 13th throw?\r<BR>\n" );
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document.write( "For this problem, is it correct to make use of the Binomial distribution with    n = 13 and r = 3? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #506144 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=506144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A biased coin is tossed. The probability of getting a head is 0.8 and the probability of getting a tail is 0.2. What is the probability of getting the 3rd head in the 13th throw? <BR>\n" );
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document.write( "The pattern has 13 coin tosses with 3rd head in 13 position.<BR>\n" );
document.write( "Example of the pattern:: hhtttttttttth<BR>\n" );
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document.write( "The two heads can be placed in 12C2 = (12*11)/(1*2) = 66 different ways<BR>\n" );
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document.write( "Probability of each pattern is (1/2)^13<BR>\n" );
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document.write( "Ans: 66(1/2)^13 = 0.0081<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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