Question

A card is drawn at random from a deck of playing cards. Find the probability of getting a face card.

Answer 1

Total number of cards = 52

No. of face cards = 3 + 3 + 3 + 3 = 12

Probability of face cards = 12 / 52

= 3/13

Answer 2

A deck of playing cards consists of 52 cards out of which 26 are black cards and  other 26 are red cards, where red cards consists of 13 cards of heart , 13 cards of diamond and black cards consists of 13 cards  of spades and 13 cards are club.

13 cards in each suit are king ,queen, Jack, 10, 9,8,7,6, 5, 4, 3 and 2.

King, queen ,and jack are called face cards. Total number of face cards are 12.

SOLUTION:
Total number of outcomes = 52

Favourable outcomes = 12 cards are of face card.
Number of favourable outcomes= 12

Probability = Number of favourable outcomes/ Total number of outcomes.
Required probability = P(face card) = 12/52= 3/13

Hence, the probability that the card  drawn is face card 3 /13.

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