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 4 of 6.

Anil said:   9 years ago
You explained perfectly @Sonam.

Nishant sharma said:   9 years ago
@Kannan - Because we know that there is only 1 queen of club in 52 cards, here is no probability its definite so that's why we took 1+1.

Inderjeet Sahu said:   9 years ago
Most of the people said the answer is 1/26 but they don't understand or read the question carefully. In this question, the statement is clear that a one card is drawn from 52 cards, not 26, so why they, again and again, took sample space 26?

The correct answer is 2/13. Because the probability of getting queen is 4/52 i.e., 1/13 and same for the king of heart 1/13. this is because all the 4 types in the cards have 1 king, 1 Jack, 1 Queen and 1 Ace.

So the heart have its 1 king, 1 Jack, 1 Queen and 1 Ace, Diamond have its own and same for other.

Aathi said:   8 years ago
What is mean a queen of club?

Unnati Gupta said:   8 years ago
Ans. is : 1/13.

n(s) = 52C1 = 52; Because we need to find the probability of getting a queen of club OR-( / ) a king of spade.
n(E) = 4C1 = 4.
n(P) = 4/52 = 1/13.

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

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

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.

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

Why is the card name andcolour is specified?

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


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