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Question
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 probability that the second player wins a prize if the first has won?
Solution
222 = 484
312 = 961
232 = 529
322 = 1024
23, 24, 25, 26, 27, 28, 29, 30, 31 has squares below 500 × 1000.
P(second player wins if first has won) = `8/999`
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