Definition of dic

(Frederick Mosteller et al., Probability with...)

When three dice are tossed repeatedly , what is the probability that the number of aces is 0 ( or 1 , or 2 , or 3 ) ?

If three dice are tossed , a trial is one toss of one die and the experiment is composed of three trials .

Mathematically , we shall not distinguish the experiment of three dice tossed once from that of one die tossed three times .

For the marksman , we study sets of five shots ( * * f ) ; for the mice , we restrict attention to litters of eight ( * * f ) ; and for the aces , we toss three dice ( * * f ) .

Thus in the three dice example * * f , * * f , and the independence assumption implies that the probability that the three dice fall ace , not ace , ace in that order is ( 1 6 ) ( 5 6 ) ( 1 6 ) .