Probability Questions Paper

Total Questions:25 Total Time: 45 Min

Remaining:

 

Questions 1 of 25

Question:A basket contains 7 red balls and 8 blue balls If 3 balls are picked at random, what is the probability all are red ?

Answers Choices:

\(\frac{3}{8}\)

\(\frac{1}{5}\)

\(\frac{3}{7}\)

\(\frac{1}{{13}}\)

None of these

Questions 2 of 25

Question:What is the probability of getting a sum nine from two throws of a dice ?

Answers Choices:

1/6

1/8

1/9

1/12

Questions 3 of 25

Question:Two dice are thrown simultaneously. What is the probability of getting two munbers whose product is even ?

Answers Choices:

1/2

3/4

3/8

5/16

Questions 4 of 25

Question:A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

Answers Choices:

1/22

3/22

2/91

2/77

Questions 5 of 25

Question:A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. what is the probability that none of the ball drawn is blue ?

Answers Choices:

10/21

11/21

2/7

5/7

Questions 6 of 25

Question:A can hit a target 4 times in 5 shots, B hits 3 times in four shots, and C hits thrice in 3 shots, they fire together. Find the probability that at least two shots hit the target -

Answers Choices:

13/30

5/6

11/40

None of these

Questions 7 of 25

Question:In a class of 25 students with Roll No. 1 to 25, a student is picked up at random to answer a question. Find the probability that the roll number of the selected student is either multiple of 5 or 7 -

Answers Choices:

6/25

4/25

8/25

7/25

Questions 8 of 25

Question:If there are 12 persons in a party, and each one of them shakes hand with each other, How many hand shakes happened in the party ?

Answers Choices:

77

66

44

55

Questions 9 of 25

Question:There are 100 students in a college class of which 36 are boys studying statistics and 13 girls not studying statistics. If there are 55 girls in all, the probability that a boy picked up at random is not studying statistics, is -

Answers Choices:

3/5

2/5

1/5

None of these

Questions 10 of 25

Question:A committee consists of 9 experts taken from three institutions A, B and C, of which 2 are from A, 3 from B and four from C. If three experts resign , then the probability that they belong to different institution is -

Answers Choices:

1/729

1/24

1/21

2/7

Questions 11 of 25

Question:An article manufactured by a company consist of two parts X and Y. In the process of manufacture of part X, 9 out of 104 parts may be defective. Similarly, 5 out of 100 are likely to be defective in the manufacture of Y parts. The probability that the assembled product will be defective, is-

Answers Choices:

253/416

361/416

322/416

None of these

Questions 12 of 25

Question:Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select two persons for the job. The probability that atleast one of the selected persons will be a woman is-

Answers Choices:

25/39

14/39

5/13

10/13

Questions 13 of 25

Question:A bag has 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 -

Answers Choices:

1/3

8/15

5/18

2/3

Questions 14 of 25

Question:Four boys and three girls stand in queue for an interview. The probability that they will stand in alternate position is-

Answers Choices:

1/34

1/35

1/17

1/68

Questions 15 of 25

Question:A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is -

Answers Choices:

1/25

24/25

2/25

None of these

Questions 16 of 25

Question:The probability that a contractor will get a plumbing contract is 2/3 and the probability that he will not get the electric contract is 5/9. If the probability of getting atleast one contract is 4/5, what is the probability that he get both ?

Answers Choices:

31/45

8/45

14/45

None of these

Questions 17 of 25

Question:A chartered Accountant applies for a job in two firms X and Y. The ability of his being selected in the firm X is 0.7, and being rejected at Y is 0.5 and the probability of atleast one of his applications being rejected is 0.6. what is the probability that he will be selected in one of the two firms ?

Answers Choices:

0.8

0.2

0.4

0.7

Questions 18 of 25

Question:An ordinary cube has four blank faces, one face marked 2 and another marked 3 then the probability of obtaining 12 in five throws is -

Answers Choices:

5/1944

5/1296

5/2592

None of these

Questions 19 of 25

Question:A fair win is tossed a fixed number of times. If the probability of getting 4 heads equals the probability of getting 7 heads, then the probability of getting 2 heads is -

Answers Choices:

1/2024

55/2048

3/4096

None of these

Questions 20 of 25

Question:Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

Answers Choices:

1/2

2/5

8/15

9/20

Questions 21 of 25

Question:A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

Answers Choices:

10/21

11/21

2/7

5/7

Questions 22 of 25

Question:In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

Answers Choices:

1/3

3/4

7/19

8/21

9/21

Questions 23 of 25

Question:What is the probability of getting a sum 9 from two throws of a dice?

Answers Choices:

1/6

1/8

1/9

1/12