CA Foundation · Quantitative Aptitude · Probability
A card is drawn from a standard deck of 52 cards. Given that the card drawn is a face card (Jack, Queen, or King), what is the probability that it is a King?
Conditional probability requires us to consider only the face cards already drawn. There are 12 face cards total in a deck, and 4 of them are Kings. Therefore, P(King | Face Card) = 4/12 = 1/3.
- A1/3Correct
- B3/13
- C1/13
- D4/13
Explanation
This is conditional probability. Given that the card is a face card, there are 12 possible face cards in total (3 per suit × 4 suits). Of these, 4 are Kings. So P(King | Face Card) = 4/12 = 1/3. The distractor 3/13 confuses it with overall probability of a face card; 1/13 is the unconditional probability of a King.
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