document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094988>Question 1094988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If P(A) = 0.7, P(B) = 0.3, and P(B | A) = 0.4 find P(A and B). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #709666 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=709666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "P(A) = 0.7<BR>\n" );
document.write( "P(B) = 0.3<BR>\n" );
document.write( "P(B|A) = 0.4\r<BR>\n" );
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document.write( "Let<BR>\n" );
document.write( "x = P(A and B)\r<BR>\n" );
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document.write( "Use the conditional formula to say<BR>\n" );
document.write( "P(B|A) = P(B and A)/P(A)<BR>\n" );
document.write( "P(B|A) = P(A and B)/P(A)<BR>\n" );
document.write( "0.4 = x/0.7\r<BR>\n" );
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document.write( "Solve for x<BR>\n" );
document.write( "0.4 = x/0.7<BR>\n" );
document.write( "0.7*0.4 = 0.7*(x/0.7)<BR>\n" );
document.write( "0.28 = x<BR>\n" );
document.write( "x = 0.28<BR>\n" );
document.write( "P(A and B) = 0.28\r<BR>\n" );
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document.write( "Final Answer: <font color=red>0.28</font><BR>\n" );
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