document.write( "Question 1172111: Among 140 middle school students, 90 like chocolate ice cream, 70 like strawberry ice cream, and 55 like both. A middle school student is randomly selected.\r
\n" ); document.write( "\n" ); document.write( "Is liking chocolate and strawberry ice cream independent events? \n" ); document.write( "

Algebra.Com's Answer #797048 by ikleyn(52847) $\"\"$ $\"About$

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

\r\n" );
document.write( "\r\n" );
document.write( "In order for to answer the question, we should check if\r\n" );
document.write( "\r\n" );
document.write( "    P(c)*Ps) = P(c AND s).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the condition, we have\r\n" );
document.write( "\r\n" );
document.write( "    P(c) =  = ;  P(s) =  = ;   hence,  P(c)*P(s) =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the other hand side,\r\n" );
document.write( "\r\n" );
document.write( "    P(c AND s) =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "These calculations show that  P(c)*Ps) =/= P(c AND s);  hence, the events \"c\" and \"s\" are NOT INDEPENDENT.\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 his post, tutor @Boreal makes many unnecessary calculations, that shade the solution's logic.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So I came with my post to make this logic more clear.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );