Question 79

Q42Multiple choiceExercise 13.3

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

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(i) the first player wins a prize?

(ii) the second player wins a prize, if the first has won?

Hint: Hint : (ii) After first player has won the prize the number of perfect squares greater than 500 will be reduced by 1