Aptitude - Probability - Discussion

Discussion Forum : Probability - General Questions (Q.No. 11)
11.
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
1
13
2
13
1
26
1
52
Answer: Option
Explanation:

Here, n(S) = 52.

Let E = event of getting a queen of club or a king of heart.

Then, n(E) = 2.

P(E) = n(E) = 2 = 1 .
n(S) 52 26

Discussion:
55 comments Page 2 of 6.

Amiya Acharya said:   7 years ago
In this it has been asking a queen of the club is 1C1,
A king of the heart is 1C1,
Probability = (1C1+1C1)/52C1.
(6)

GOKULAKRISHNAN.S said:   7 years ago
The answer is 1/26. The question is what the probability of queen of club & the king of heart. So the queen of the club is only one for that pack of cards. Similarly, the king of the heart is only one So, the total probability is 2.

2/52 = 1/26.

Not mention for club queen and king heart we can use normal method.
(1)

Ananthasubramanian said:   7 years ago
The Probability would be 1/51. The question is from the whole pack of cards & not from only Hearts & clubs, Please clarify 1/26. Thanks,

MR.AB said:   8 years ago
Two cards are a dream at random from a pack of 52 cards. What is the probability that they are king and queen?

Can anyone answer it?

Sairam said:   8 years ago
Well said @Pooja.

Correct explanation, thank you very much.

Kaushik raj said:   8 years ago
Here, we can use (13C1/52C1)+(13C1/52C1).

Premananda Sahoo said:   8 years ago
The probability of any two card is 2/52.

Why is the card name andcolour is specified?

Bikora said:   8 years ago
@Sonam.

If we take the probability of getting a queen out of 52 cards is 4/52 and probability of getting King is 4/52. That is why the terms Club and heart are useful.

Probability of draw one card N(S)= 52C1,
Probability of queen of club n(E1)=13C1,
Probability of King of Heart n(E2) =13C1,
N(E) ={n(E1)+n(E2)}/n(S),
N(E) = (13+13)/52,
n(P) =1/26.

Sagar said:   8 years ago
N(E) = 1C1 + 1C1 = 1 + 1 = 2.

Vin21 said:   8 years ago
Answer is 1/13. Because only card is drawn from 52 cards.


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