# Q 5 Q9 and Q10: ​5. Cards marked with the numbers 2 to 101 are placed in a box are mixed thoroughly. One card is drawn from the box. Find the probability that the number on card is : (a) A composite number less than 50        (b) An odd number greater then 85 (c) A prime number between 25 and 75     (d) An odd number between 30 to 45 9. At a fete, cards bearing number 1 to 1000, one on each card, are put into a box. Each player selects one card at random and that card is not replaced. If the selected card bears a number which is a perfect square greater then 500, the player wins a prize. What is the probability that. (a) The first player wins a prize? (b) The second player wins a price, if the first has already won? 10. A bag contains 18 balls out of which x balls are red. (i) If one ball is drawn at random from the bag, what is the probability that it is read ball ? (ii) If two more red balls are put i the bag, the probability of drawing a red ball will be times that of probability of red ball coming in pat (i) find x.

Hi,
9th;-

total number of outcomes = 1000

favorable outcomes to win = {529, 576,625,  676, 729, 784, 841, 900, 961 }

number of favorable outcomes = 9

the probability that the first player win the prize = .

the remaining cards = 999.

the probability that the second player wins a prize , (the first player has won) [since one winning card is already chosen by first player]