Probability- Aptitude Questions and Answers - in Hindi

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A card is drawn from a well shuffled pack of cards. What is the probability that it is a red card or a face card?


एक अच्छी तरह से शफल कार्ड पैक से एक कार्ड खींचा जाता है। उसके एक लाल कार्ड या चेहरा कार्ड होने कि संभावना क्या है?

A)
19/26

B)
9/13

C)
8/13

D)
37/52


Correct Answer :

8/13


Explanation :

There are a total of 52 cards.
Now, there are 26 red cards and 12 face cards, 6 of which are red (double counted)

So, the probability of having a card's red card or face card
P(Red u King)=P(Red)+P(face)-P(Red n face)
=26/52 + 12/52 - 6/52
=32/52
=8/13

A box of balls contains 120 red and 80 blue ones. Two ball are taken at random. What is the probability that one is red and the other is blue ?

A)
96/199

B)
16/33

C)
24/100

D)
8/33


Correct Answer :

96/199


Explanation :

Total number of ball are 200.
Probability of getting one red and one blue => (120C1 * 80C1 ) / 200C2
=>(120* 80) / (200 *199 / 2 )
=>96/199

A box contains 20 white, 30 black, 40 blue and 30 red balls. Compute the probability that one of the balls extracted at random from the box turns out to be white, black or red. ?

A)
3/4

B)
3/5

C)
1/3

D)
2/3


Correct Answer :

2/3


Explanation :

Probability that the extracted ball is blue = 40/120 => 1/3
So, Probability that the extracted ball is not blue = 1- (1/3) => 2/3

If seven coins are tossed, what is the probability of obtaining at least 2 heads ?

A)
12/16

B)
15/16

C)
15/18

D)
15/20


Correct Answer :

15/16


Explanation :

Probability of getting no head =7C0 / 27 => 1/128
Probability of getting one head =7C1 / 27=> 7/128

Probability of getting at least 2 heads= 1 - 1/128 - 7/128 => 120/128 =>15/16

If one rolls a fair-sided die twice, what is the probability that the die will land on the same number on both the occasions ?

A)
1/12

B)
1/6

C)
1/24

D)
1/8


Correct Answer :

1/6


Explanation :

Let E = Event of getting same number on both occasions
=> (1, 1), (2, 2), (3, 3), (4, 4),(5, 5), (6, 6)
So, n(E) = 6

Required probability = 6 / 62 =>1/6

A die is thrown once. Find the probability of getting an even number?


एक पासा एक बार फेंका जाता है। तो एक सम संख्या प्राप्त करने की संभावना क्या होगी।

A)
3/4

B)
1/4

C)
1/2

D)
3/2


Correct Answer :

1/2


Explanation :

Sample space is, S : {1,2,3,4,5,6} =6

Favorable outcomes,even numbers E : { 2,4,6 } = 3

P(getting an event number)=n(E)/n(S)=3/6=1/2

A card is drawn from a well-shuffled deck of 52 playing cards. Find the probability that it is not an ace?


एक अच्छी तरह से मिली 52 ताश के पत्तो से एक कार्ड खींचा जाता है। उसके इक्का होने संभावना नहीं होगी।

A)
1/13

B)
4/13

C)
3/13

D)
12/13


Correct Answer :

12/13


Explanation :

total number of cards=52
total number of aces=4
The probability P(getting an ace)=n(E)/n(S)=4/52=1/13

The probability P(not getting an ace)=1 - P(getting an ace)
=1 - (1/13)
=12/13

A bag contains 24 eggs out of which 8 are rotten. The remaining eggs are not rotten eggs. The two eggs are selected at random. What is the probability that one of the eggs is rotten?


एक बैग में 24 अंडे हैं जिनमें से 8 खराब हैं। शेष अंडे खराब अंडे नहीं हैं। इनमे से दो अंडों का चयन यादृच्छिक रूप से चुना जाता है। तो क्या संभावना है कि अंडे में से एक खराब हो?

A)

11/23


B)

17/23


C)

13/23


D)

19/23



Correct Answer :

13/23


Explanation :

Number of total eggs = 24
Number of rotten egss = 8
Remaining eggs = 24 − 8 = 16

Required probability = (16C1 * 8C1 + 16C0 * 8C2 ) / 24C2
= 16 * 8 + (8 * 7 / 2) / (24 * 23 / 2 )
= 16 * 8 + 4 * 7 / 12 * 23
= 128 + 28 / 12 * 23
= 156 / 12 * 23
= 13 / 23

From a well-shuffled deck of 52 cards, one card is drawn at random. Find the probability of getting a face card?


एक अच्छी तरह से शफल 52 कार्ड पैक से एक कार्ड खींचा जाता है, फेस कार्ड होने की प्रायिकता ज्ञात कीजिये?

A)

1/13


B)

2/13


C)

3/13


D)

4/13



Correct Answer :

3/13


Explanation :

Sample space is, S : 52 cards
Favorable outcomes, E : 12 face cards (4 jack, 4 queen and 4 king)

Probability, P(face card) = Favorable outcomes/Sample space
= 12/52
= 3/13

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