document.write( "Question 854691: A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories:
\n" ); document.write( "A: Smooth
\n" ); document.write( "B: Rhythm
\n" ); document.write( "C: Standard
\n" ); document.write( "The results were then presented to the owner in the following Venn Diagram.
\n" ); document.write( "46 is Smooth ONLY (NOT RHYTHM, NOT STANDARD)
\n" ); document.write( "36 is Rhythm ONLY (NOT SMOOTH, NOT STANDARD)
\n" ); document.write( "11 is Standard ONLY (NOT SMOOTH, NOT RHYTHM)
\n" ); document.write( "40 is Smooth and Rhythm ONLY (NOT STANDARD)
\n" ); document.write( "22 is Smooth and Standard ONLY (NOT RHYTHM)
\n" ); document.write( "16 is Rhythm and Standard ONLY (NOT SMOOTH)
\n" ); document.write( "47 is Smooth,Rhythm,Standard (ALL THREE)
\n" ); document.write( "17 is none\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #514896 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories:\r\n" );
document.write( "A: Smooth\r\n" );
document.write( "B: Rhythm\r\n" );
document.write( "C: Standard\r\n" );
document.write( "The results were then presented to the owner in the following Venn Diagram.\r\n" );
document.write( "d is Smooth ONLY (NOT RHYTHM, NOT STANDARD)\r\n" );
document.write( "h is Rhythm ONLY (NOT SMOOTH, NOT STANDARD)\r\n" );
document.write( "j is Standard ONLY (NOT SMOOTH, NOT RHYTHM)\r\n" );
document.write( "e is Smooth and Rhythm ONLY (NOT STANDARD)\r\n" );
document.write( "g is Smooth and Standard ONLY (NOT RHYTHM)\r\n" );
document.write( "i is Rhythm and Standard ONLY (NOT SMOOTH)\r\n" );
document.write( "f is Smooth,Rhythm,Standard (ALL THREE)\r\n" );
document.write( "k is none\r\n" );
document.write( "\r\n" );
document.write( " Venn with 3 sets:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "There were d+e+f+g+h+i+j+k students in the survey.\r\n" );
document.write( "\r\n" );
document.write( "If a student is chosen at random, what is the probability that:\r\n" );
document.write( "---------------\r\n" );
document.write( "A student has competed in none of the categories?\r\n" );
document.write( "\r\n" );
document.write( "Probability = \r\n" );
document.write( "\r\n" );
document.write( "A student has competed in Smooth, Rhythm, or Standard? is it .4266055046??\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Probability = \r\n" );
document.write( "\r\n" );
document.write( "A student has competed in Smooth or Standard, but not Rhythm?\r\n" );
document.write( "\r\n" );
document.write( "Probability = \r\n" );
document.write( "\r\n" );
document.write( "A student has competed in Rhythm and Standard, but not Smooth?\r\n" );
document.write( "\r\n" );
document.write( "Probability = \r\n" );
document.write( "\r\n" );
document.write( "A student has competed in Rhythm, given you know the student has competed in\r\n" );
document.write( "Smooth. \r\n" );
document.write( "\r\n" );
document.write( "Probability = \r\n" );
document.write( "\r\n" );
document.write( "Edwin \n" );
document.write( "

\n" );