document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=363454>Question 363454</A>: <I><SPAN STYLE=\"word-break: break-all;\">     A random experiment has sample space S ={a, b, c}. Suppose that  P[{a, c}] = 5/8 and P[{b, c}] = 7/8. Use the axioms of probability to find the probabilities of elementary events.<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 #259154 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=259154\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P[{a,b,c}] = P[{a,c}] + P[{b,c}] - P[{c}].  Thus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+=+5%2F8+%2B+7%2F8 ALIGN=MIDDLE  ALT=\"1+=+5%2F8+%2B+7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > - P[{c}]. Hence P[{c}] = 1/2.  Now P[{a,c}] = P[{a}] + P[{c}], so P[{a}] = 1/8.  Finally, P[{b}] = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-1%2F2-1%2F8+=+3%2F8 ALIGN=MIDDLE  ALT=\"1-1%2F2-1%2F8+=+3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  </SPAN>\n" );
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