document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147139>Question 147139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that San Franciso plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl.  The propability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1.  What is the probability that San francisco plays in the next Super Bowl? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107488 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=107488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To answer this question, first assign a variable for the probability of not playing.  How about x?  Given that the probability of not playing is x, then the probability of playing would be 9 times x, or 9x (this is given in the question).  The sum of both probabilities is 1, so given this information, you can make an equation and solve.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x+%2B+x+=+1 ALIGN=MIDDLE  ALT=\"9x+%2B+x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Combine like terms and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x=1 ALIGN=MIDDLE  ALT=\"10x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Then to isolate the variable, divide both sides by 10 and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F10 ALIGN=MIDDLE  ALT=\"x=1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  There, you have the variable!  But do not stop there!  x represents the probability of not playing, but we want the probability of playing, right?  Since the probability of playing is 9x, plug in 1/10 for x.  Your expression should look like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%281%2F10%29 ALIGN=MIDDLE  ALT=\"9%281%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Your answer should be 9/10 because it is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F1+x+1%2F10 ALIGN=MIDDLE  ALT=\"9%2F1+x+1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So 9/10 is the probability that San Francisco plays in the next Super Bowl. </SPAN>\n" );
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