At a fete, cards bearing number 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 probability that
(i) the first player winz a price?
(ii) the second player wins a prize, if the first has won?

Explanation

To solve the problem, we need to find the probability that the first player wins a prize and the probability that the second player wins a prize given that the first player has already won.

### Step-by-Step Solution:

#### Part (i): Probability that the first player wins a prize

1. **Identify the total number of outcomes**:
The total number of cards is from 1 to 1000, which gives us:
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