## Question Set-1

**Bankexamtoday wants to open his office in India. There are 40% & 60% chance that their office will be in Haryana & Punjab respectively. If they open the office in Haryana, there is 40% chance that it will be in Panchkula & 60% chance that it will be in Chandigarh. If they start an office in Punjab, there are 50%, 25% & 25% chances that it will be in Ludhiana, Amritsar & Chandigarh respectively.**

### Ques.1:

**Find the probability of opening the office in Ludhiana?**

(a) 1/5

(b) 3/10

(c) 4/10

(d) 6/10

(e) none of these.

### Ques.2:

**What is the probability of opening the office in Chandigarh from any of those two states?**

(a) 39/100

(b) 2/10

(c) 2/5

(d) 4/9

(e) none of these.

## Question Set-2:

**There are two sets of letters & we have to choose exactly one letter from each set.**

Set A: {A, B, C, D, E}

Set B: {U, V, W, X, Y, Z}

Set A: {A, B, C, D, E}

Set B: {U, V, W, X, Y, Z}

### Ques.1:

**What is the probability of choosing a D and X?**

(a) 1/30

(b) 2/30

(c) 3/30

(d) 4/30

(e) none of these.

### Ques.2:

**What is the probability of choosing a D or X?**

(a) 1/2

(b) 1/3

(c) ¼

(d) 1/5

(e) none of these.

### Ques.3:

**What is the probability of choosing two vowels?**

(a) 1/15

(b) 2/15

(c) 3/15

(d) 4/15

(e) none of these

### Ques.4:

**What is the probability of choosing at least one vowel?**

(a) 3/2

(b) 1

(c) 1/2

(d) 1/3

(e) none of these.

## Question Set3.

**Tiger has 4 books of Arithmetic, 3 books of advanced-math & 2 books of combine metrics. Out of these books, he selects two books at random one after other. What is the probability that he selects one Arithmetic & one combine metrics book?**

(a) 1/9

(b) 2/9

(c) 3/9

(d) 4/9

(e) none of these.

## Question Set4:

**Raj has two bags viz. Bag A & Bag B. Each bag contains balls of two colours viz. red and green. Given that, Bag A contains 3 red balls & 4 green balls and bag B contains 4 red balls & 5 green balls.**

### Ques.1.

**Raj has to select one bag randomly and pick a ball from that. What is the probability that ball drawn is green in colour?**

(a) 67/126

(b) 69/126

(c) 71/126

(d) 73/126

(e) none of these.

### Ques.2.

**Simran, a friend of raj transferred a ball from bag A to bag B, then raj draws a ball from bag B. What is the probability that ball drawn is green in colour?**

(a) 69/126

(b) 38/75

(c) 35/69

(d) 39/70

(e) none of these.

### Ques.3.

**Simran, a friend of raj transferred a ball from bag A to bag B, then raj draws a ball from bag B. Find the probability that the transferred ball is green, given that the ball drawn is green in colour?**

(a) 5/17

(b) 8/13

(c) 7/13

(d) 5/24

(e) none of these.

## Answer Set1.

### Ans. 1.

The probability of opening the office in Ludhiana= P (office in Punjab) ×P (office in Ludhiana)### Ans. 2.

The probability of opening the office in Chandigarh

P(selecting bag B & drawing a green ball) =

= P( Office in Chandigarh from Haryana) 0r P (Office in Chandigarh from Punjab)

## Answer Set2.

### Ans. 1.

### Ans. 2.

The probability of choosing a D or X = P(D or X) = P(D)+P(X)-P(D∩X)### Ans. 3.

### Ans. 4.

The probability of choosing at least one vowel= 1- probability of choosing no vowel## Answer. Set 3

The probability of selecting one Arithmetic & one combine metrics book## Question Set4:

### Ans. 1.

Required probability = P(selecting bag A & drawing green ball) orP(selecting bag B & drawing a green ball) =

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