document.write( "Question 1174251: Events A and B are dependent. P(A)= 5/12
\n" ); document.write( " and P(B given A) = 6/11. Find P(A and B).\r
\n" ); document.write( "\n" ); document.write( "Appreciate the help :D \n" ); document.write( "

Algebra.Com's Answer #799642 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Events A and B are dependent. P(A)= 5/12
\n" ); document.write( " and P(B given A) = 6/11. Find P(A and B).
\n" ); document.write( "~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "P(B given A) is the conditional probability.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The standard classical designation for it is  P(B|A).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, P(B given A) is the same as  P(B|A).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "By the definition,  P(B|A) = P(B ∩ A) / P(A).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, you are  GIVEN  that   \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    P(B ∩ A) / P(A) = ,   or,  which is the same,\r\n" );
document.write( "\r\n" );
document.write( "    P(B ∩ A) :  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "THEREFORE,\r\n" );
document.write( "\r\n" );
document.write( "    P(B ∩ A) =  =  = .    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In this site, there are two lessons for problems on conditional probability. They are\r
\n" ); document.write( "\n" ); document.write( "    - Conditional probability problems \r
\n" ); document.write( "\n" ); document.write( "    - Conditional probability problems REVISITED \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them to develop your skills and knowledge.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Solved problems on Probability\"
\n" ); document.write( "and \"Additional problems on Probability\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );