Courses

# MCQ Probability ( With Answers ) Class 11 Notes | EduRev

## Class 11 : MCQ Probability ( With Answers ) Class 11 Notes | EduRev

``` Page 1

PROBABILITY                                                                                                                           ASSIGNMENT

1. A positive integer is chosen at random. The probability that sum of the digits of its square is 33 is :
(A)  1/11       (B)  1/33
(C)  2/33       (D)  None of these
2. Two persons A and B appear in an interview for two vacancies. If the probability of their selection are 1/4 and 1/6
respectively, then probabilities that none of them is selected is :
(A)  1/24       (B)  5/12
(C)  5/8       (D)  19/12
3. A bag contains 5 brown and 4 white socks. A man pulls out two socks. The probability that they are in the same
colour is :
(A)  5/108       (B)  1/6
(C)  5/18       (D)  4/9
4. Tickets are numbered 1 to 100. They are well–shuffled and a ticket is drawn at random. Probability that the drawn
ticket has a number 5 or a multiple of 5 is :
(A)  1/10       (B)  1/5
(C)  1/25       (D)  1/2
5. Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job.
The probability that at least one of the selected persons will be woman is :
(A)  25/39       (B)  14/39
(C)  5/13       (D)  10/13
6. From a well shuffled pack of playing cards, two cards are drawn one by one with replacement. The probability that
both are aces is :
(A)  2/13       (B)  1/51
(C)  1/221       (D)  None of these
7. Three coins are tossed together. The probability of atleast two heads is :
(A)  1/8       (B)  3/8
(C)  1/2       (D)  1/4
8. Two dice are thrown simultaneously. The probability of obtaining a total score of 5 is
(A)  1/18                                   (B)  1/12
(C)  1/9                                     (D)  none of these
9. The probabilities of solving a problem by three students A, B, C are 1/2, 1/3, 1/4 respectively. The probability that
the problem will be solved is
(A)  1/4                   (B)  1/2
(C)  3/4                   (D)  1/3

10. The probability that a leap year selected at random contains 53 Sundays is
(A)  7/366                                  (B)  26/183
(C)  1/7                                      (D)  2/7
GIITJEE CHANDIGARH LIMITED  SCO 382, Sector 37–D, Chandigarh – 160 036 Ph: 3290959                                     P  –  1
Page 2

PROBABILITY                                                                                                                           ASSIGNMENT

1. A positive integer is chosen at random. The probability that sum of the digits of its square is 33 is :
(A)  1/11       (B)  1/33
(C)  2/33       (D)  None of these
2. Two persons A and B appear in an interview for two vacancies. If the probability of their selection are 1/4 and 1/6
respectively, then probabilities that none of them is selected is :
(A)  1/24       (B)  5/12
(C)  5/8       (D)  19/12
3. A bag contains 5 brown and 4 white socks. A man pulls out two socks. The probability that they are in the same
colour is :
(A)  5/108       (B)  1/6
(C)  5/18       (D)  4/9
4. Tickets are numbered 1 to 100. They are well–shuffled and a ticket is drawn at random. Probability that the drawn
ticket has a number 5 or a multiple of 5 is :
(A)  1/10       (B)  1/5
(C)  1/25       (D)  1/2
5. Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job.
The probability that at least one of the selected persons will be woman is :
(A)  25/39       (B)  14/39
(C)  5/13       (D)  10/13
6. From a well shuffled pack of playing cards, two cards are drawn one by one with replacement. The probability that
both are aces is :
(A)  2/13       (B)  1/51
(C)  1/221       (D)  None of these
7. Three coins are tossed together. The probability of atleast two heads is :
(A)  1/8       (B)  3/8
(C)  1/2       (D)  1/4
8. Two dice are thrown simultaneously. The probability of obtaining a total score of 5 is
(A)  1/18                                   (B)  1/12
(C)  1/9                                     (D)  none of these
9. The probabilities of solving a problem by three students A, B, C are 1/2, 1/3, 1/4 respectively. The probability that
the problem will be solved is
(A)  1/4                   (B)  1/2
(C)  3/4                   (D)  1/3

10. The probability that a leap year selected at random contains 53 Sundays is
(A)  7/366                                  (B)  26/183
(C)  1/7                                      (D)  2/7
GIITJEE CHANDIGARH LIMITED  SCO 382, Sector 37–D, Chandigarh – 160 036 Ph: 3290959                                     P  –  1
11. A bag contains 3 red, 4 white and 5 blue balls. All balls are different. Two balls are drawn at random.
The probability that they are of different colour is
(A)  47/66                                   (B)  10/33
(C)  5/22                                    (D)  none of these
12. Three identical dice are rolled. The probability that the same number will appear on each of them is
(A)  1/6                                     (B)  1/18
(C)  1/36                                   (D)  none of these
13. The probability that a man aged 50 years will die in a year is p. The probability that out of n men A
1
, A
2
, …., A
n

each aged 50 years, A
1
will die and be first to die is
(A)  1 – (1 – p)
n
(B)  [1 – (1 – p)
n
] / n
2

(C)  [1 – (1 – p)
n
] / n                  (D)  none of these
14. A bag contains 3 white and 4 red balls. Another bag contains 5 white and 7 red balls. A ball is taken out of the first
bag and put in to the second. A ball is then taken out of the second bag. The probability that it is a red ball is
(A)  1/3                          (B)  53/91
(C)  32/91                         (D)  none of these
15. A bag contains 10 mangoes out of which 4 are rotten, two mangoes are taken out together. If one of them is
found to be good, the probability that other is also good is
(A)  1/3                 (B)  8/15
(C)  5/13                  (D)  2/3
16. A card is drawn at random from a pack of 100 cards numbered 1 to 100. The probability of drawing a number
which is a square is
(A)  1/5                                   (B)  2/5
(C)  1/10                                 (D)  none of these
17. The probability of India winning a test match against West Indies is 1/2. Assuming independence from match to
match the probability that in a 5 match series India's second win occurs at the third test is
(A)  1/8                   (B)  1/4
(C)  1/2                   (D)  2/3
18. The probability that at least one of the events A and B occurs is 0.7 and they occur simultaneously with probability
0.2. Then P( A ) + P( B ) =
(A)  1.8                  (B)  0.6
(C)  1.1                    (D)  1.4
19. Both A and B throw a dice. The chance that B throws a number higher than that thrown by A is
(A)  1/2                         (B)  21/36
(C)  15/36                 (D)  none of these
20. The probability that a man can hit a target is 3/4. He tries 5 times. The probability that he will hit the target at least
three times is
(A)  291/364                                  (B)  371/464
(C)  471/502                                  (D)  459/512
GIITJEE CHANDIGARH LIMITED  SCO 382, Sector 37–D, Chandigarh – 160 036 Ph: 3290959                                     P  –  2
Page 3

PROBABILITY                                                                                                                           ASSIGNMENT

1. A positive integer is chosen at random. The probability that sum of the digits of its square is 33 is :
(A)  1/11       (B)  1/33
(C)  2/33       (D)  None of these
2. Two persons A and B appear in an interview for two vacancies. If the probability of their selection are 1/4 and 1/6
respectively, then probabilities that none of them is selected is :
(A)  1/24       (B)  5/12
(C)  5/8       (D)  19/12
3. A bag contains 5 brown and 4 white socks. A man pulls out two socks. The probability that they are in the same
colour is :
(A)  5/108       (B)  1/6
(C)  5/18       (D)  4/9
4. Tickets are numbered 1 to 100. They are well–shuffled and a ticket is drawn at random. Probability that the drawn
ticket has a number 5 or a multiple of 5 is :
(A)  1/10       (B)  1/5
(C)  1/25       (D)  1/2
5. Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job.
The probability that at least one of the selected persons will be woman is :
(A)  25/39       (B)  14/39
(C)  5/13       (D)  10/13
6. From a well shuffled pack of playing cards, two cards are drawn one by one with replacement. The probability that
both are aces is :
(A)  2/13       (B)  1/51
(C)  1/221       (D)  None of these
7. Three coins are tossed together. The probability of atleast two heads is :
(A)  1/8       (B)  3/8
(C)  1/2       (D)  1/4
8. Two dice are thrown simultaneously. The probability of obtaining a total score of 5 is
(A)  1/18                                   (B)  1/12
(C)  1/9                                     (D)  none of these
9. The probabilities of solving a problem by three students A, B, C are 1/2, 1/3, 1/4 respectively. The probability that
the problem will be solved is
(A)  1/4                   (B)  1/2
(C)  3/4                   (D)  1/3

10. The probability that a leap year selected at random contains 53 Sundays is
(A)  7/366                                  (B)  26/183
(C)  1/7                                      (D)  2/7
GIITJEE CHANDIGARH LIMITED  SCO 382, Sector 37–D, Chandigarh – 160 036 Ph: 3290959                                     P  –  1
11. A bag contains 3 red, 4 white and 5 blue balls. All balls are different. Two balls are drawn at random.
The probability that they are of different colour is
(A)  47/66                                   (B)  10/33
(C)  5/22                                    (D)  none of these
12. Three identical dice are rolled. The probability that the same number will appear on each of them is
(A)  1/6                                     (B)  1/18
(C)  1/36                                   (D)  none of these
13. The probability that a man aged 50 years will die in a year is p. The probability that out of n men A
1
, A
2
, …., A
n

each aged 50 years, A
1
will die and be first to die is
(A)  1 – (1 – p)
n
(B)  [1 – (1 – p)
n
] / n
2

(C)  [1 – (1 – p)
n
] / n                  (D)  none of these
14. A bag contains 3 white and 4 red balls. Another bag contains 5 white and 7 red balls. A ball is taken out of the first
bag and put in to the second. A ball is then taken out of the second bag. The probability that it is a red ball is
(A)  1/3                          (B)  53/91
(C)  32/91                         (D)  none of these
15. A bag contains 10 mangoes out of which 4 are rotten, two mangoes are taken out together. If one of them is
found to be good, the probability that other is also good is
(A)  1/3                 (B)  8/15
(C)  5/13                  (D)  2/3
16. A card is drawn at random from a pack of 100 cards numbered 1 to 100. The probability of drawing a number
which is a square is
(A)  1/5                                   (B)  2/5
(C)  1/10                                 (D)  none of these
17. The probability of India winning a test match against West Indies is 1/2. Assuming independence from match to
match the probability that in a 5 match series India's second win occurs at the third test is
(A)  1/8                   (B)  1/4
(C)  1/2                   (D)  2/3
18. The probability that at least one of the events A and B occurs is 0.7 and they occur simultaneously with probability
0.2. Then P( A ) + P( B ) =
(A)  1.8                  (B)  0.6
(C)  1.1                    (D)  1.4
19. Both A and B throw a dice. The chance that B throws a number higher than that thrown by A is
(A)  1/2                         (B)  21/36
(C)  15/36                 (D)  none of these
20. The probability that a man can hit a target is 3/4. He tries 5 times. The probability that he will hit the target at least
three times is
(A)  291/364                                  (B)  371/464
(C)  471/502                                  (D)  459/512
GIITJEE CHANDIGARH LIMITED  SCO 382, Sector 37–D, Chandigarh – 160 036 Ph: 3290959                                     P  –  2
21. The probability that a person will hit a target in shooting practice is 0.3. If he shoots 10 times, the probability that
he hits the target is
(A)  1                                          (B)  1 – (0.7)
10

(C)  (0.7)
10
(D)  (0.3)
10

22. A and B are two independent events. The probability that both A and B occur is 1/6 and the probability that neither
of them occurs is 1/3. Then
(A)  P (A) = 1/2, P (B) = 1/3     (B)  P (A) = 1/2, P (B) = 1/6
(C)  P (A) = 1/3, P (B) = 1/2              (D)  none of these
23. In a class of 125 students 70 passed in Mathematics, 55 in Statistics and 30 in both. The probability that a student
selected at random from the class, has passed in only one subject is
(A)  13/25                                  (B)  3/25
(C)  17/25                                  (D)  8/25
24. A lot consists of 12 good pencils, 6 with minor defects and 2 with major defects. A pencil is chosen at random.
The probability that this pencil is not defective is
(A)  3/5                 (B)  3/10
(C)  4/5                   (D)  1/2
25. 3 mangoes and 3 apples are in a box. If 2 fruits are chosen at random, the probability that one is a mango and the
other is an apple is
(A)  3/5                                   (B)  5/6
(C)  1/36                                 (D)  none of these
26. A father has 3 children with at least one boy. The probability that he has 2 boys and one girl is
(A)  1/4                                   (B)  1/3
(C)  2/3                                   (D)  none of these
27. Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job.
The probability that at least one of the selected persons will be a woman is
(A)  25/39                                  (B)  14/39
(C)  5/13                                    (D)  10/13
28. Two events A and B have probability 0.25 and 0.50. The probability that both occur simultaneously is 0.14.
The probability that neither A nor B occurs is
(A)  0.75                                   (B)  0.61
(C)  0.39                                   (D)  none of these
29. If A and B are independent events and P (A ? B) = 9/10, P (B) = 4/10, then P (A) =
(A)  1/6                (B)  5/6
(C)  1/9                  (D)  none of these
30. A, B, C in order toss a coin. The first one to throw a head wins. Assuming the game continues indefinite their
respective chances of winning the game are
(A) 4/7, 2/7, 1/7     (B) 1/7, 4/7, 2/7
(C) 2/7, 4/7, 1/7     (D) none of these
GIITJEE CHANDIGARH LIMITED  SCO 382, Sector 37–D, Chandigarh – 160 036 Ph: 3290959                                     P  –  3
```
Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;