document.write( "Question 1136791: Suppose that five uniquely colored dice, each with four numbered sides, are rolled. How many different outcomes are possible for the set of dice? \n" ); document.write( "

Algebra.Com's Answer #754618 by ikleyn(52865) $\"\"$ $\"About$

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

\r\n" );
document.write( "\r\n" );
document.write( "Let the colors be Red (R), Yellow (Y), Green (G), Blue (B) and White (W);\r\n" );
document.write( "\r\n" );
document.write( "Let the numbers on the sides (on the faces) be 1, 2, 3 and 4.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the space of outcomes is the space of all pairs  (C,n),  where C is one (any) of five letters symbolizing a color,\r\n" );
document.write( "\r\n" );
document.write( "and n is one (any) of numbers 1, 2, 3 and 4.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The total number of elements (of events) in the outcomes space (= in the event space) is  5*4 = 20.\r\n" );
document.write( "

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

\n" );