A card is drawn at random from a Pack of 52 cards. Find the
probability that the card drawn is
i. Neither an ace nor a king
ii. A face card
Answers
Answer:
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 = four cards are of Ace & 4 cards are of king = 8
Total number of favourable outcomes = 52-8= 44
Probability = Number of favourable outcomes/ Total number of outcomes.
Required probability = P(neither an ace nor a king) = 44/52= 11/13.
Hence, the probability that the card is drawn is neither an ace nor a king 11/13.
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