document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=276406>Question 276406</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that P(A or B) = 1/3, P(A) = 1/6, and P(A and B) = 1/8, find P(B).<BR>\n" );
document.write( "7/24 is the answer but I would really love to know why. This question is worded in a very confusing manner.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201439 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=201439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that P(A or B) = 1/3, P(A) = 1/6, and P(A and B) = 1/8, find P(B).<BR>\n" );
document.write( "7/24 is the answer but I would really love to know why<BR>\n" );
document.write( "----<BR>\n" );
document.write( "General Formula: <BR>\n" );
document.write( "P(A or B) = P(A) + p(B) - P(A and B)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute:<BR>\n" );
document.write( "1/3 = (1/6) + P(B) - 1/8<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Multiply thru by 24 to get:<BR>\n" );
document.write( "8 = 4 + 24P(B) - 3<BR>\n" );
document.write( "24P(B) = 7<BR>\n" );
document.write( "P(B) = 7/24<BR>\n" );
document.write( "================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================================ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );