Aptitude - Probability - Discussion

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.

What is mean a queen of club?

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.

@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.

You explained perfectly @Sonam.

For this question, I got the answer as 2/13. But how it is 1/26? I don't no please tell me.

Hi everyone, hope this helps you.

There are usually 4 suits of the card and each suit contains 13 cards that make (13 *4 =52).
The 4 suits are named as Club, spade, diamond and hearts. Each suit of cards contains a king and a queen.
Therefore as there are 4 suits, so there are 4 kings and 4 queens.
According to the question, Queen of the club is one of the cards from the suit of clubs and same for the king of hearts.

Therefore the probability for the queen of club or king of hearts is P (A Or B) = P (A) + P (B).

= 1/52 + 1/52 = 2/52 reducing it becomes 1/26. Hope you understand. :)

Here you said, one queen or one king. So we have to consider either king or queen right? Then the anser will be 1/52. How it's 1/26?

N(E) should be 8C2? How the N(E) = 2 came?

I believe OR means addition and AND means multiplication. Hence we have to add the two events i.e 1+1=2 and divide by sample space which is equal to 52 giving answer 1/26.