document.write( "Question 1139454: A and B are events in a sample space S such that P(A) = 0.41, P(B) = 0.31 and P(A and B) 0.11. Draw a Venn Diagram and use it to answer the following questions.\r
\n" ); document.write( "\n" ); document.write( "a. P(A or B)
\n" ); document.write( "b. P(A/B) \n" ); document.write( "

Algebra.Com's Answer #759938 by ikleyn(52858) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "(a)  To solve (a), use the basic probability formula\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "         P(A or B) = P(A) + P(B) - P(A and B) = 0.41 + 0.31 - 0.11 = 0.62.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b)  To solve (b), use the basic probability formula\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        P(A | B) = P(A and B)/P(B) = .\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Done.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );