A bag contains 4 identical red balls 3 identical black balls. The experiment consists of drawing one ball, then putting it into the bag again drawing a ball. What are the possible outcomes of the experiment?

3

(a)

A and B are two events that P(A) = 0.54, P(B) = 0.69 and \(P(A\cap B)\) = 0.35. Find \(P(A'\cap B')\)

3

(a)

A and B are two events that P(A) = 0.54, P(B) = 0.69 and \(P(A\cap B)\) = 0.35. Find \(P(A\cap B')\)

3

(a)

A die is thrown. Describe the following events
i) A: a number less than 7
ii) B: a number greater than 7
iii) C: a multiple of 3
iv) D: a number less than 4.
v) E: an even number greater than 4.
vi) F: a number not less than3
Also, find \(A\cup B,A\cap B,B\cup C,E\cap F,D\cap E,A-C,D-E,{ F }^{ ' }and\quad E\cap { F }^{ ' }\)

3

(a)

Four cards are drawn at random from pack of 52 playing cards, Find the probability of getting  two red cards and two black cards.

3

(a)

Four cards are drawn at random from pack of 52 playing cards, Find the probability of getting On card from each suit.

3

(a)

Two die are thrown. The events A, B, C are as follows:
getting an odd number on the first die.

3

(a)

Two die are thrown. The events A, B, C are as follows:
getting a total of 7 on the two die.

3

(a)

Two die are thrown. The events A, B, C are as follows:
getting a total of greater than equal to 8 on the two die.

3

(a)

Two die are thrown. The events A, B, C are as follows:
Describe events:
(i) A' (ii) B' (ii)\(A\cup B\) (iii)\(\\ B\cap C\)  (iv) A - C (v) B - C

3

(a)

The numbers 1, 2, 3 and 4 are written separately on four slips of paper. The slips are then put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Describe the events:
A: the number on the first slip is larger than the one on the second slip.
B: the number on the second slip is greater than 2
C: the sum of the numbers on the two slip is 6 or 7
D: the number on the second slip is twice that on the first slip.
Which pairs of events are mutually exclusive?

3

(a)

One card is drawn from a pack of 52 cards. Find the probability that the card drawn is
(i) Black and a king (ii) either red or Queen.

3

(a)

A urn contains 10 red, 6 green and 4 black balls. If two balls are drawn at random, find the probability that:
(i) one ball is red and other is green
(ii) the balls are of same colour

3

(a)

The letters of word 'SOCIETY' are placed at random in a row. What is the probability that three vowels come together?

3

(a)

A box contains 9 red, 6 green and 5 black balls. A person draws 4 balls from the-box at random. Find the probability that among the balls drawn there is at least one ball of each colour.

3

(a)