Two dice are rolled once. Find the probability of getting such numbers on two dice, whose product is a perfect square.

3

(a)

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing : (i) an ace (ii) '2' spades  (iii) '10' of a black suit

3

(a)

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 that the number on the card is
(i) an even number    (ii) a number less than 14
(iii) a number which is a perfect square  (iv) a prime number less than 20.

3

(a)

A number is selected at random from the numbers 3, 5, 5, 7, 7, 7, 9, 9, 9, 9. Find the probability that the selected number is their average.

3

(a)

If a number x is chosen from the number 1, 2, 3 and a number y is selected from the numbers 1, 4, 9. Find the probability that xy = 10.

3

(a)

In a single throw of a pair of different dice, what is probability of getting (i) a prime number on each dice? (ii) a total of 9 or 11?

3

(a)

Two different dice are thrown together. Find the probability of:

(i) getting a number greater than 3 on each die

(ii) getting a total of 6 or 7 of the numbers on two dice

3

(a)

Three coins are tossed simultaneously.Find the probability of getting:
(a)Three heads
(b)Exactly 2 heads
(c)At least 2 heads

3

(a)

Two dice are thrown simultaneously.What is the probability that the sum of the numbers appearing on the dice is:
(i)7?
(ii)A prime number?
(iii)1?

3

(a)

Two dice are thrown together.Find the probability that the product of the numbers on the top of the dice is:
(i) 6
(ii) 12
(iii) 7

3

(a)

All the jacks, queens and kings are removed from a deck of 52 playing cards.The remaining cards are well shuffled and then one card is drawn at random.Giving ace a value 1 similar value for other cards, find the probability that the card has a value:
(i)7
(ii)Greater than7
(iii)Less than7

3

(a)

A box contains 10red marbles, 5blue marbles and 7 green marbles.One marble is taken out of the box at random.What is the probability that the marble taken out will be:
(i)Red?
(ii)Green?
(iii)Not blue?

3

(a)

A bag contains 4 black, 8 red and 6 white balls.One ball is drawn at random from the bag.Find the probability that the drawn ball is:
(i)Red or white
(ii)Not block
(iii)Neither white nor black

3

(a)

A girl has a cube with one letter written on each face, as shown below
S  T  U  V  W  S
The cube is thrown once.What is the probability of getting:
(i)T
(ii)S
(iii)W on the upper most face.

3

(a)

An urn contains 81 marbles each of which is white, black or green.The probability of selecting a white marble at random from the urn is \(1\over3\)and the probability os selecting a black marble at random is\(4\over9\).How many green marbles does the urn contain?

3

(a)