Multiple choice

A card is picked at random from a pack of $52$ playing cards. given that the picked card is a queen, the probability of this card to be a card of spade is

  1. $\dfrac{1}{3}$
  2. $\dfrac{4}{13}$
  3. $\dfrac{1}{4}$
  4. $\dfrac{1}{2}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

There are 4 queens in a deck. Out of these 4 queens, only 1 is a spade. Given the card is a queen, the probability it is a spade is 1/4.

AI explanation

Given that the picked card is a queen, the sample space is reduced to the 4 queens in the deck. Out of these 4 queens, exactly 1 is the queen of spades. The required conditional probability is the ratio of 1 to 4, which is 1/4.

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