document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=228976>Question 228976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the following probabilities: \r<BR>\n" );
document.write( "\n" );
document.write( "(A) Events A and B are mutually exclusive events defined on a common sample space. If P (A) = 0.5 and P(A or B) = 0.75, find P(B).\r<BR>\n" );
document.write( "\n" );
document.write( "(B) Events A and B are defined on a common sample space. If P(A) = 0.30, P(B) = 0.50, and P(A or B) = 0.70, find P(A and B) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  (Points: 4)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169873 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=169873\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (A) Events A and B are mutually exclusive events defined on a common sample space. If P (A) = 0.5 and P(A or B) = 0.75, find P(B).<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "If A and B are mutually exclusive <BR>\n" );
document.write( "P(A or B) = P(A)+P(B)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "0.75 = 0.5 + P(B)<BR>\n" );
document.write( "P(B) = 0.25<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( " <BR>\n" );
document.write( "(B) Events A and B are defined on a common sample space. <BR>\n" );
document.write( "If P(A) = 0.30, P(B) = 0.50, and P(A or B) = 0.70, find P(A and B)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "P(A and B) = P(A) + P(B) - P(A or B)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(A and B) = 0.30 + 0.50 - 0.7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(A and B) = 0.1<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );