Problems on Probability with Explanation

1) Find the probability of getting one head when 2coins are tossed ?
A) 1/2
B) 1/4
C) 2/3
D) 3/4
E) none


2) Find the probability of at least one tail when 2coins are tossed?
A) 1/2
B) 1/4
C) 2/3
D) 3/4
E) none

3) Find the probability of getting a multiple of 2 when one dice is thrown?

A.1/3
B. 2/3
C.1/2
D.1/6
E.none

4) fine the probability that sum on both faces is 6 when two dice are thrown?
A. 1/9
B. 5/36
C. 6/36
D. 7/36
E.none


5) find the probability of getting a king from a pack of 52 cards when 1card is drawn?
A.1/26
B. 2/52
C.1/13
D.2/13
E.none


6) find the probability of getting either a queen or an ace when 1 card is drawn at random from whole pack?
A.1/13
B.2/13
C.1/52
D.3/52
E. none


7) two dice are thrown.  Find the probability of getting an odd number on one and a multiple of three on the other?
A.5/36
B.25/36
C.11/36
D.1/9
E.none

8) one bag contains 6white 2black 3green 4 red ball. 3ball drawn at random. What is probability to getting none red?
A.33/99
B.31/91
C.33/91
D.34/91
E.none

9) one bag contains 5white 3black 2green 5 red ball. 4ball drawn at random. What is the probability of getting no  colour repeat twice ?
A.11/91
B.10/91
C.12/91
D.13/91
E.none


10)one bag contains 6white 2black 3green 6 red ball. 2ball drawn at random. What is probability of getting at least one green?

A.3/7
B.4/7
C.5/7
D.7/105
E.none


Ans. And solutions

1) A
(HH). (HT). (TH). (TT)
2/4=1/2

2) D
(HH). (HT). (TH). (TT)
3/4


3) C
2; 4; 6

3/6=1/2


4) B
(4,2)(2,4)(3,3)(1,5)(5,1)

5/36


5) C
THERE IS 4 KING OUT OF 52

4/52=1/13


6) B
QUEEN=4/52=1/13
ACE=4/52=1/13

(1/13)+(1/13)=2/13



7.C
CASES
(1.3 & 3.1) (1.6 & 6.1) (3.6 & 6.3) (5.3 & 3.5) (5.6 & 6.5) (3.3)

11/36



8) C
11c3/15c3=33/91



9) B

(5c1×3c1×2c1×5c1)/
15c4 =10/91




10) E

(3c1×14c1)+3c2/ 17c2= 45/136
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