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A card is drawn at random from a well-shuffled deck of 52. E = "card is a face card" (King, Queen, Jack). P(E) equals
A{'text': '3/13', 'label': 'A'}
B{'text': '1/4', 'label': 'B'}
C{'text': '12/52', 'label': 'C'}
D{'text': '9/52', 'label': 'D'}
Answer & Solution
Correct answer: C. {'text': '12/52', 'label': 'C'}
1. There are 4 kings + 4 queens + 4 jacks = 12 face cards in a deck of 52.
2. Number of favourable outcomes = 12; total outcomes = 52.
3. P(E) = 12/52 = 3/13.
4. Either 12/52 or the reduced 3/13 is correct — both list here as 12/52.
_Source: NCERT Class 12 Mathematics, Ch 13 "Probability", §13 basic prob_
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