A) an odd number. 1/2
B) greater than 4. 1/3
C) at the most 4. 2/3
D) between 7 and 10 0
2) Two fair coins are tossed. Find the probability that
A) head turns up exactly once. 1/2
B) Tail turns up at least once. 3/4
C) Tail does not turn up at all. 1/4
3) A coin is tossed thrice. Find the probability that
A) tail turns up at least twice. 1/2
B) Head does not turn up at all. 1/8
C) tail comes on the second toss. 1/2.
D) Head turns up at least once. 7/8
4) Two fair dice are tossed. Find the probability that
A) The sum of the score is 9. 1/9
B) the product of the score is 12.1/9
C) the score on the second die is greater than the score on the first die. 5/12
C) the Sum of the scores is a prime number. 5/12
D) the sum of the score is a multiple of 4. 1/4
E) the sum of of the scores is a perfect square. 7/36
5) One card is drawn from a pack of pack of well shuffled pack of cards. Find the probability that the card drawn is :
A) A Queen. 1/13
B) not a queen. 12/13
C) a face card. 3/13
D) red card . 1/2
E) bears a number lesson than 4. 3/13
F) king or black black card. 7/13
6) In a match between A and B the probability of winning of A is 0.43. What is the probability of winning of B ? 0.57
7) A bag contains 3 red, 4 white, 5 blue marbles. All the marbles are identical in shape and and size. One marble is drawn at random from the bag. find the probability that the marble drawn is.
A) Red. 1/4
B) red or white. 7/12
8) An unbiased coin is is tossed. Find the probability that
A) A head turns up. 1/2
B) A tail turns up. 1/2
C) both head and tail turn turn tail turn turn up 0
D) neither head nor tail turns up. 0
9) A Uniform die is thrown. find the the probability of the event A, B and E where
A: score is an even number. 1/2
B: score is a number number less than 5 but less than 2. 1/2
E: score is a number that is a multiple of 3 or 5. 1/2.
10) A perfect cubic die is thrown. find the probability that
A) A prime number comes up. 1/2.
B) A perfect square comes up. 1/3
11) Two coins are tossed simultaneously. Find the probability of getting exactly one head. 1/2
12) Three coins are tossed simultaneously. Find the probability of getting at least one head. 7/8.
13) Three unbiased coins are tossed. find the probability of of getting at least two heads up. 1/2
14) A coin is tossed 3 times. Write the sample space. find the probabilities of
E: getting two or more more heads. 1/2
F: the second is a not a head. 1/2
15) Two unbiased dice are thrown in the air. find the probability that the sum of the scores is a multiple of 3 multiple of 3 a multiple of 3 multiple of the scores is a multiple of 3 multiple of 3 a multiple of 3 multiple of is a multiple of 3 multiple of 3. 1/3
16) two dice are are thrown. What is the probability that the sum of the points obtained is greater than 4 ? 5/6
17) Two unbiased dice are thrown. Find the probability that the sum of the numbers on their faces is at most 5 5 5. 5/18
18) two fair dice dice are thrown, find the probability of getting the same score on the first die as on the the second. 1/6
19) two unbiased dice are thrown in the air. Find the probability that the sum of the scores is greater than 9 or an even number. 5/9
20) if two fair dice are thrown, find the probability that the sum of the points the points points on their uppermost face is a perfect square or a multiple of 3 3. 5/12
21) a box contains 5 red, 11 white and 7 black balls. one ball is drawn at random, find the probability that ball drawn is a white white ball. 11/23
22) a bag contains 6 contains 6 red, 5 blue, 3 white and 4 Black Black balls. A ball is drawn at random. find the probability that the ball is red or black . 5/9
23) in a bag there are six six black, 4 white and 3 yellow balls. A ball is taken at random. find the probability of of getting a yellow or a white ball. 7/13
24) A box contains 7 red, 5 white and 8 green balls identical in all respects except colour. one ball is drawn at random. find the probability that that it is not white. 3/4
25) a card is drawn from a pack of well shuffled 52 playing cards. find the probability that the card drawn is.
A) a diamond 1/4
B) A red card. 1/2
C) A king 1/13
D) an ace or a Queen. 2/13
E) a face card card 3/13
F) A card bearing a number between and including 2 and 6. 5/13
26) Six tokens bearing numbers 1 to 6 are placed in one box and seven tokens bearing 1 to 7 are placed in another box. If one token is drawn from each box, what is the probability that the sum of of the number is
A) six 5/42
B) 11 1/14
27) If P(A)= 0.95, find P(not A). 0.05
28) a bag contains a certain number of a blue blue balls. A ball is drawn, find the probability that the ball drawn is.
A) black. 0
B) blue. 1
29) the probability that two boys do not have the same birthday is 0.394. What is the probability that the two boys have the same have the same same birthday ? 0.606
30) which of the following cannot be the probability of an event
A) 5/7
B) 0.28
C) √2
D) - 2.4 √2 and - 2.4
31) From a deck of 52 cards, all the face cards are removed and then remaining cards are shuffled. now one card is drawn from the remaining deck. find the probability that the card is.
A) a black card. 1/2
B) 8 of red colour. 1/20
C) A king of black colour. 0
32) a box contains thousand bulbs out of Prit Prit 25 defective, it is not possible to just look at the bulb and tell whether or not it is defective. one bulb is taken out at random from the box. calculate the probability that the bulb taken out is:
A) a good one. 39/40
B) a defective one. 1/40
33) a bag contains 50 identical cards which are numbered from 1 to 50. If one card is drawn at random from the bag, find the probability that it bears
A) a perfect square number. 7/50
B) a number divisible by 4 divisible by 4. 6/25
C) A number divisible by 5. 1/5
D) A number divisible by 4 or 5. 2/5
E) a number divisible by 4 and 5. 1/25.
34) A bag contains 6 red, 8 white and x blue balls which are identical in shape and size. the probability that a ball drawn at random is blue or white is 5/7. find x. 7.
35) Two fair dice are thrown. Find the probability of getting
A) the same score on the first die as on the second. 1/6
B) the score of second dice is greater than the score of first. 5/12
36) from a group of 5 men and 3 women A committee of 4 persons persons is to be selected selected be selected selected randomly. find the probability that
A) there is a majority of man. 1/2
B) there is majority of women. 1/14
37) A bag contains 6 white and 9 black balls, if 3 balls are drawn at random, find the probability that all of them are black. 12/65
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