document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087163>Question 1087163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that you will win a certain game is 0.4. If you play the game 8 times, what is the probability that you will win at least 6 times? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701442 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=701442\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We use the binomial probability formula to solve this problem<BR>\n" );
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document.write( "Probability(P) ( k successes in n trials) = nCk * p^k * (1-p)^(n-k) where nCk = n! / (k! * (n-k)!)<BR>\n" );
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document.write( "P ( at least 6 wins out of 8) = P ( 6 wins out of 8) + P ( 7 wins out of 8 ) + P ( 8 wins out of 8 ) where p = 0.4<BR>\n" );
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document.write( "P ( at least 6 wins out of 8) = 0.04 + 0.01 + 0.00 = 0.05<BR>\n" );
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