What is the probability of getting the face card when one card is drawn randomly from the deck of the 52 cards?

Concept Used:

Total number of cards = 52

Face card = 12 (4 Jacks, 4 Queens and 4 Kings)

Formula Used:

P(A) = \( {n(A) \ \over n(S)}\) 

P(A) is the probability of an event 'A'

n(A) is the number of favourable outcomes

n(s) is the number of events in the sample space

Calculation:

Probability of choosing a face card = \({12 \ \over 52}\) = \( {3\ \over 13}\)

∴ The probability of getting the face card when one card is drawn randomly from the deck of the 52 cards is.\( {3\ \over 13}\)

Confusion Points

We should not include ACE in face card. Only JACK, KING, QUEEN will be included in face cards.