6/25/2015 Probability Quiz for IBPS ~ IBPSExamGuru | ibps bankers Guru Adda Clerk PO

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Tuesday, 23 June 2015

Probability

Probability Quiz

for IBPS

1. What is the probability that a

card drawn at random from a pack

of 52 cards is either a king or a

spade?

1) 17/52  2) 4/13  3) 3/13  4) 13/52 

5) None of these

Solution:(2)

Required probability =3/52 + 13/52

= 16/52 = 4/13

(Note : why 13/52 because there

are 13 spades and why 3/52

instead of 4/52 (there are four

kings)because one king is already

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6/25/2015 Probability Quiz for IBPS ~ IBPSExamGuru | ibps bankers Guru Adda Clerk PO

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counted in spades)

 

2. If three unbiased coins are

tossed simultaneously, then the

probability of exactly two heads, is

1) 1/8  2) 2/8  3) 3/8  4) 4/8  5) none

of the above

Solution: (3).

n(S) = 23 =8

Let E = event of getting exactly two

heads

={ (H,H,T), (H,T,H), (T,H,H) }

= n(E) = 3

Therefore Required probability

=3/8

 

3. When two dice are rolled, what

is the probability that the sum of

the numbers appeared on them is

11?

1) 1/6  2) 1/18  3) 1/9  4) 1  5) none

of the above

Solution: (2) .

n(S) =36

n(E) = {(5,6),(6,5)} =2

Therefore P(E) = n(E) / n(S) = 2/36 =

1/18

 

4. A basket contains three blue

and four red balls. If three balls are

drawn at random from the basket,

what is the probability that all the

three balls are either blue or red?

1) 1  2) 1/7  3) 3/14  4) 3/28  5)

None of the above

Solution: (2)

6/25/2015 Probability Quiz for IBPS ~ IBPSExamGuru | ibps bankers Guru Adda Clerk PO

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Probability to be a blue = 3 C3 / 7

C3 47

Therefore Required Probability =

3C3 / 7C3 = 4 C3 / 7C3 = 5/35 = 1/7

 

5. A number is selected at random

from the set { 1,2,3,

…………………,50}. The probability

that it is a

prime, is

1) 0.1  2) 0.2  3) 0.3  4) 0.7  5) None

of the above

Solution:(3)

n (S) =50

Prime numbers are =

2,3,5,7,11,13,17,19,23,29,31,37,41,4

3,47

Therefore n(E)=15

P(E) = 15/50 = 3/10 =0.3

 

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