In the game "Sweet Million" in the New York State lottery, the player chooses six integers in the range 1 - 4 0 and pays $ 1 . Then six such integers are selected in a random drawing and, if the player's six numbers correspond exactly to those chosen, the player wins a $ 1 , 0 0 0 , 0 0 0 jackpot. ( Order does not matter: if the player wrote down ( 8 , 1 4 , 1 9 , 3 3 , 3 5 , 3 8 ) , there is no problem if the numbers arose in the order ( 3 3 , 8 , 3 5 , 1 4 , 1 9 , 3 8 ) )

( i ) What is the probability that a particular player will win the jackpot on a given bet?

( ii ) Is this a good bet?