19. Five mark exercise problem II

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 greater than \(500\), the player wins a prize. What is the probability that (i) the first player wins a prize (ii) the second player wins a prize, if the first has won?

 

Answer:

 

(i) The first player wins a prize \(=\) $\frac{i}{i}$

 

(ii) The second player wins a prize, if the first has won \(=\) $\frac{i}{i}$