6,。 Penmsylvania Lottery Probabjlity played 4 role 1n
the rigaing Ofthe April 24, 1980, PennsyIvania state
lottery. To determine each digit ofthe three-di人(MT
ning number, each of the numbers 0,1,2,...,29 wa35
Written on a Ping-Pong ball, the 10 balls were blowpn
into a compartment, and the number seJected for the
digit was the one on the ball that floats to the top of the
Imachine. To alter the odds, the conspirators injected a
liquid into all balls used in the game except those nuIm-
bered 4 and 6, making it almost certain that the lighter
balls would be selected and determine the digits in the
Winning number. They then proceeded to buy 1ottery
tickets bearing the potential winning numbers. How
many potential winning numbers were there (666 was
the eventual winner)?