document.write( "Question 1125318: A pair of dice is rolled. list the element of the sample space S. let A denote the event \"the sum is less than 5\" and B the event that \"a 6 occurs on either die\". list the element of corresponding to event A and to event B. \n" ); document.write( "

Algebra.Com's Answer #741617 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "The elements of the sample space S are all ordered pairs (m,n) of integer numbers 1 <= m <=6 and 1 <= n <= 6.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In all, there are 6*6 = 36 such pairs.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    The set A is this:  { (1,1), (1,2), (2,1), (1,3), (2,2), (3,1) }.  It contains 6 elements  (6 pairs with the sum <= 4).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    The set B is this:  { (6,6) }.   It contains  only one element (one pair).\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answered and solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );