Total number of cards in the deck = 52. 

a). Total number of king card in the deck = 4. 

The probability that the drawn card is a king = \(\frac{Total\,number \,of\,red\,8\,card}{Total\,number\,of\,cards\,in\,deck}\) = \(\frac{4}{52} = \frac{1}{13}\) . 

Hence, option (ii) is correct. 

b). Total number of cards which shown 8 in the deck is 4 in which 2 are black and 2 are red suited. 

Therefore total number of red 8 cards in the deck = 2 

Now, the probability that the draw card is a red eight = \(\frac{Total\,number \,of\,red\,8\,card}{Total\,number\,of\,cards\,in\,deck}\) = \(\frac{2}{52} = \frac{1}{26}\) . 

Hence, option (iv) is correct. 

c). The face cards are jack, queen and king cards, each of them have 4 quantities in the deck. 

Therefore, total number of face cards in the deck = 4 × 3 = 12. 

Hence, the probability that the drawn card is a face card = \(\frac{Total\,number \,of\,red\,8\,card}{Total\,number\,of\,cards\,in\,deck}\) = \(\frac{2}{52} = \frac{13}{13}\).

Hence, option (ii) is correct. 

d). Total queen cards is 4 in the deck in which 2 are black suited and 2 are red suited.

Therefore, total number of queen cards of black suit = 2.

The probability of getting a queen of black suit = \(\frac{Total\,number \,of\,red\,8\,card}{Total\,number\,of\,cards\,in\,deck}\) = \(\frac{2}{52} = \frac{1}{26}\).

Hence, option (i) is correct.

e). Total number of ace cards in the deck = 4 

Total number of spade cards in the deck = 13. 

Hence, total number of cards which are either an ace or a card of spades = 4 + 13 – 1 = 16. (∵ One ace card is shade card ) 

Therefore, the probability that the drawn card is a card of spades or an ace card = 
\(\frac{Therefore\,of\,cards\,which\,are\,either\,an\,ace\,or\,acard\,of\,spades}{Total\,number\,of\,cards\,in\,the\,deck}\) = \(\frac{16}{52} = \frac{4}{13}\).

Hence, option (ii) is correct.