At a fete, cards bearing numbers 1 to 1000, one number on one card are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square number greater than 500, the player wins a prize. What is the probaility that (i) the first player wins a prize (ii) the second player wins a prize, if the first has won ?

Answer

(i) `(9)/(1000)`
(ii) `(8)/(999)`