document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192329>Question 1192329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When throwing a coin the chance of it being heads is 0.63. If a person gets heads - they step one step to the right, if tails - one step to the left. What is the probability of being back at the starting point (before making any steps) after 8 throws? What is the probability of being no more than 4 steps away from the starting point after 8 throws? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824228 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53937)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "When throwing a coin the chance of it being heads is 0.63. <BR>\n" );
document.write( "If a person gets heads - they step one step to the right, if tails - one step to the left. <BR>\n" );
document.write( "(a) What is the probability of being back at the starting point (before making any steps) after 8 throws? <BR>\n" );
document.write( "(b) What is the probability of being no more than 4 steps away from the starting point after 8 throws?<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "(a)  Event (a) is an event having four heads and four tails among the eight throwing the coin.\r\n" );
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document.write( "     The experiment throwing a coin is a binomial distribution, so the probability of this event is\r\n" );
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document.write( "          P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B8%5D%5E4%2A0.63%5E4%2A%281-0.63%29%5E4 ALIGN=MIDDLE  ALT=\"C%5B8%5D%5E4%2A0.63%5E4%2A%281-0.63%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2A0.63%5E4%2A0.37%5E4 ALIGN=MIDDLE  ALT=\"70%2A0.63%5E4%2A0.37%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.206665   (rounded).    <U>ANSWER</U>\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "See the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Challenging-problems-on-Binomial-distribution-probability.lesson>Challenging problems on Binomial distribution probability</A> \r<BR>\n" );
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document.write( "at this forum.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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