Probability is one of the most liked topics of all. With a good hold over the basics one can solve the questions and we have also seen that generally in the exams specially Prelims; the level of questions asked is generally moderate and not very difficult. Hence, looking at the same, bringing to you 10 questions for a quick recap of the basics. For any queries, feel free to comment in the section below the post or join our Whatsapp groups for further discussions on the same! 🙂

1Question 1

1. A bag contains 8 white and 4 red balls. Five balls are drawn at random. What is the probability that two of them are red and 3 are white?

1) 12/44
2) 14/33
3) 14/34
4) 15/34
5) 35/99

2Question 2

2. Six blue balls are put in three boxes. The probability of putting balls in the boxes in equal numbers is?

1) 1/21
2) 1/8
3) 1/28
4) 1/7
5) 1/14

3Question 3

3. There are 10 pairs of socks in a cupboard from which 4 individual socks are picked at random. The probability that there is at least one pair is?

1) 195/323
2) 99/323
3) 198/323
4) 185/323
5) None of the above

4Question 4

Directions: A batch of 50 sewing machines contains 3 defective ones. Two machines are selected at random from the batch and put into use. What is the probability that:

4. Both the machines put in use are defective?

1) 4/1225
2) 3/1225
3) 124/1224
4) 5/1224
5) None of the above

5Question 5

Directions: A batch of 50 sewing machines contains 3 defective ones. Two machines are selected at random from the batch and put into use. What is the probability that:

5. Only one machine is defective?

1) 141/1225
2) 121/1225
3) 123/1224
4) 1/1225
5) None of these

6Question 6

Directions: A batch of 50 sewing machines contains 3 defective ones. Two machines are selected at random from the batch and put into use. What is the probability that:

6. Neither is defective?

1) 1082/1224
2) 1081/1225
3) 1081/1224
4) 1801/1224
5) None of these

7Question 7

Directions: The probability that the husband will have a life span of 35 years is 3/5 and the probability that his wife will live for 35 years is 3/7. Find the probability that after 35 years:

7. Both the husband and the wife will be alive?

1) 2/35
2) 9/35
3) 6/35
4) 3/35
5) None of the above

8Question 8

Directions: The probability that the husband will have a life span of 35 years is 3/5 and the probability that his wife will live for 35 years is 3/7. Find the probability that after 35 years:

8. Only the husband will be alive?

1) 12/35
2) 11/35
3) 13/35
4) 8/35
5) 3/35

9Question 9

Directions: The probability that the husband will have a life span of 35 years is 3/5 and the probability that his wife will live for 35 years is 3/7. Find the probability that after 35 years:

9. Only the wife will be alive?

1) 2/35
2) 3/35
3) 6/35
4) 11/35
5) 7/35

10Question 10

Directions: The probability that the husband will have a life span of 35 years is 3/5 and the probability that his wife will live for 35 years is 3/7. Find the probability that after 35 years:

10. At least one of the two will be alive?

1) 27/35
2) 12/35
3) 11/35
4) 7/35
5) None of the above

11Answer Key:

1. 2
2. 3
3. 2
4. 2
5. 1
6. 2
7. 2
8. 1
9. 3
10. 1

Don’t Miss:

There are many free tests available for IBPS RRB, IBPS PO and IBPS Clerk which you can find below:

And there’s a dedicated section for SBI & IBPS exams where you can find current and previous year’s questions, online tests, PDFs & other study material. (click the link available below)

All the best! 🙂

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