Cards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability of a number which is a perfect cube.

6 A bag contains 12 balls out of which x are white.
(i) If one ball is drawn at random, what is the probability that it will be a white ball?
(ii) If 6 more white balls are put in the bag, the probability of drawing a white ball will be double than that in (I case). Find x. 7 Five male and three female candidates are available for selection as on manager in a company. Find the probability that male is selected. 9 A card is drawn from an ordinary pack and a gambler bets that it is a spade or an ace. What are the odds against his winning this bet? 10 17 cards numbered 1, 2, 3, ..., 16, 17 are put into a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is a prime.