1.

A card is drawn from a well-shuffled deck of playing cards. Find the probability of drawing (i) a face card (ii) a red face card

Answer»

Random drawing of cards ensures equally likely outcomes

(i) Number of face cards (King, Queen and jack of each suits) = 4 × 3 = 12

Total number of cards in deck = 52

Total number of possible outcomes = 52

P (drawing a face card) = 13/525 = 3/13

(ii) Number of red face cards = 2 × 3 = 6

Number of favourable outcomes of drawing red face card = 6

P (drawing of red face red)  = 6/52 = 3/26



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