Two dice are numbered 1, 2, 3, 4, 5, 6 and 1, 2, 2 3, 3, 4 respectively. They are thrown and the sum of the numbers on them is noted. Find the probability of getting (i) sum 7 (ii) sum is a perfect  square.

In a game, the entry fee is Rs. 5. The game consists of tossing a coin 3 times. If one or two heads show, then Sweta gets her entry fee back. If she tosses 3 heads, then she receives double the entry fees. Otherwise she will lose. For tossing a coin three times, find the probability that she
(i) loses the entry fee
(ii) gets double entry fee
(iii) just gets her entry fee

A coin is tossed. If it results in a head a coin is tossed, otherwise a die is thrown. Describe the following events:
(i) A = getting atleast one head  
(ii) B = getting an even number
(iii) C = getting a tail  
(iv) D = getting a tail and an odd number

At a fete cards bearing numbers 1 to 500, one on each card, are put in 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 of an even number the player wins prize.

(i) What is the probability that the first player wins a prize?

(ii) The second player wins prize, if the first has not won.

Two dice are numbered 1,2,3,4,5,6 and 1,1,2,2,3,3 respectively.They are thrown and the sum of the numbers on them is noted.Find the probability of getting each sum from 2 to 9 separately

A box of 24 solar cells contain 8 defective cells.One cell is drawn at random.What is the probability that the cell is not defective and it is not replaced and a second cell is selected at random from the rest, what is the probability that second cell is defective?

Two unbiased coins are tossed simultaneously. find the probability of getting
(i) no heads
(ii) atmost one tail
(iii) one tail
(iv) one head and one tail

All the three face cards of spades are removed from a well-shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting
(i) a spade

A group consists of 12 persons, out of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is
(i) extremely kind or honest
(ii) Which of the above values you prefer more?