Question

from a deck of 52 playing cards, a card is drawn at random. find the probability of that drawn card is neither red nor king. 

1. 8/13

2. 6/13

3. 4/13

4. 7/13
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Answer 1

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  drawn is neither an ace nor a king 11/13.