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! 🙂

## 1**Question 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

## 2**Question 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

## 3**Question 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

## 4**Question 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

## 5**Question 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

## 6**Question 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

## 7**Question 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

## 8**Question 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

## 9**Question 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

## 10**Question 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

## 11**Answer Key:**

**1.** 2

**2.** 3

**3.** 2

**4.** 2

**5.** 1

**6.** 2

**7.** 2

**8.** 1

**9.** 3

**10.** 1

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