Hello Aspirants. Welcome to Online Maths in AffairsCloud.com. Here we are creating question sample in **Probability**, which is common for all the competitive exams. We have included Some questions that are repeatedly asked in exams !!

**Out of 6 green ball, 4 blue ball, in how many ways we select one or more balls ?**

A)42

B)34

C)31

D)22

E)None of these

**B)34**

Explanation :7*5 = 35

35 – 1 = 34

**P and Q throw a dice.Find the probability that P’s throw is not greater than Q’s through**

A)7/5

B)12/7

C)7/12

D)7/11

E)None of these

**C)7/12**

Explanation :

A B

1 1 2 3 4 5 6

2 2 3 4 5 6

3 3 4 5 6

4 4 5 6

5 56

6 6

n(E) = 21

n(S) = 36

P = 21/36 = 7/12

**An unbiased die is tossed. Find the probability of getting of getting a multiple of 2.**

A)2

B)3

C)1/2

D)1/3

E)None of these

**C)1/2**

Explanation :

2, 4,6 multiple of 3

n(E) = 3

n(S) = 6

p = 3/6 = 1/2

**A bag contains 3 green, 5 black and 4 brown balls. 3 balls are drawn randomly. What is the probability that balls drawn contain different colours of balls?**

A)11/7

B)2/11

C)11/3

D)3/11

E)None of these

**D) 3/11**

Explanation :

Toatal numbers of balls = 12n(S) = 12C

_{3}= 220

n(E) = 3C1_{ }×5C1×4C1_{ }= 4 × 3 × 5 = 60

P = 60/220 = 3/11

**A bag contain 2 red, 3 blue and 6 green plates. One plate is taken up randomly. What is the probability that it is neither red nor green ?**

A)3/11

B)2/11

C)7/11

D)11/3

E)None of these

A)3/11

Explanation :

n(S) = 2+3+6 = 11

n(E) = 3

P = 3/11

**In a college 10% of the students speaking English, 70% speaking Hindi and 10% speaking both.If a students is selected at random, what is the probability of the students who speak English or Hindi ?**

A)9/5

B)10/7

C)7/10

D)5/7

E)None of these

**C)7/10**

Explanation :

P(a) = 10/100 = 1/10

P(b) = 70/100 = 7/10

P(both) = 10/100 = 1/10

P(a U b) = (1+7-1)/10 = 7/10

**A bag contains 4 pink dresses, 5 red shirts and 3 yellow shirts. 3 dresses are drawn randomly. What is the probability that exactly one of them is pink ?**

A)65/104

B)56/110

C)25/110

D)36/28

E)None of these

**B)56/110**

Explanation :

Total no of shirts = 12C3 = 220

4c1 × 8c2 = 112

P = 112/220 = 56/110

**A bag contain 2 red, 3 blue and 6 green plates. One plate is taken up randomly. What is the probability that it is either red or green ?**

A)8/11

B)11/8

C)10/7

D)3/11

E)None of these

**A)8/11**

Explanation :

Total = 2+3+6 = 11

either red nor green = 2+6 = 8

p = 8/11

**In a box 4 blue pens, 3 red pens and 5 black pens. If 2 pens taken from the box, What is the probability that both of them are same colour pens ?**

A)66/19

B)15/28

C)18/35

D)19/66

E)None of these

**D)19/66**

Explanation :

^{4}c_{2}+^{3}c_{2}+^{5}c_{2 }= 6+3+10 = 19

^{12}c_{2 }= 66

P = 19/66

**From a pack of 52 cards, 3 cards are drawn together at random, What is the probability of both the cards are king ?**

A)1/5225

B)1/5525

C)5525

D)1/525

E)None of these

**B)1/5525**

Explanation :

n(S) =^{52}C_{3 }= 132600/6 = 22100

n(E) =^{4}C_{3 }= 24/6 = 4

p = 4/22100 = 1/5525

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