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

20 cards numbered 1, 2, 3, ...., 20 are put in a box and mixed thoroughly. Shashi draws a cards from the box. Find the probability that the number on the card is

(i) odd    (ii) even  (iii) a prime

(iv) divisible by 3    (v) divisible by 3 and 2 both.

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.

A letter is at drawn at random from the word 'MATHEMATICS'.Find the probability of drawing each of the different letters in the given word.

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?

(i) Find the probability of getting 53 Fridays in a leap year.
(ii) A die is thrown, find the probability of getting an odd prime number.

Anu, Priya and Jyoti were fighting to get first chance in a game. Anu says, "Let us toss two coins. If both heads appear, Priya will take chance, if both tails appear, Jyoti will get it and if one head and one tail appears, I will get the chance".
(i) What is the probability of Anu, Priya and Jyoti getting the first chance?
(ii) Is her decision fair?
(iii) What quality of her character is being depicted here?

A number x is selected at random from the numbers 1, 2, 3 and 4. Another number y is selected at random from the numbers 1, 4, 9 and 16. Find the Probability that product of x and y is less than 16.