**Q.1 From a pack of 52 cards two cards are drawn at random one after another, what is the probability that the first card is king of spade and another card is diamond?**

A. 1/52

B. 1/204

C. 13/52

D. 1/208

E. None of these

B. 1/204

C. 13/52

D. 1/208

E. None of these

**Q.2 In a simultaneous thrown of two dice. What is the probability of getting a total of either 9 or 10?**
A. 1/6

B. 5/36

C. 7/36

D. 1/18

E. None of these

C. 7/36

D. 1/18

E. None of these

**Q.3 In a beg there are 5 blue, 3 green and 7 pink balls. 2 balls are drawn at random. What is probability thal one is blue and second is pink?**
A. 1/10

B. 2/15

C. 1/6

D. 1/3

E. None of these

C. 1/6

D. 1/3

E. None of these

**Q.4 4 apples and 5 mangoes are kept in a box. If 3 fruits are choosen at random, What is the probability that at least one is mango?**
A. 1/8

B. 5/6

C. 20/21

D. 4/9

E. None of these

C. 20/21

D. 4/9

E. None of these

**Q.5 What is the probability of getting the total of at least 8 when two dice are thrown?**
A. 5/18

B. 2/5

C. 1/6

D. 5/12

E. None of these

Probability of total of 9= 4 (4,5),(5,4),(6,3),(3,6)

Probability of total of 10= 3 (5,5),(6,4),(4,6)

Probability of total of 11= 2 (5,6),(6,5)

Probability of total of 12= 1 (6,6)

=5/36+4/36+3/36+2/36+1/36

=5/12

C. 1/6

D. 5/12

E. None of these

## Answers With Explanation

#### 1. Ans. B.

__Solution:__#### 2. Ans. C.

__Solution:__#### 3. Ans. D.

__Solution:__#### 4. Ans. C.

__Solution:__#### 5. Ans. D.

**Probability of total of 8= 5 (5,3),(4,4),(3,5),(6,2),(2,6)**

__Solution:__Probability of total of 9= 4 (4,5),(5,4),(6,3),(3,6)

Probability of total of 10= 3 (5,5),(6,4),(4,6)

Probability of total of 11= 2 (5,6),(6,5)

Probability of total of 12= 1 (6,6)

=5/36+4/36+3/36+2/36+1/36

=5/12

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