There are 52 cards in total.

Hence, total Outcomes =52

(i) Probability of the card drawn is a card of spade or an Ace:

Total cards of Spade =13

Total Aces =4

Number of Aces of Spade =1

Therefore,

Probability of the card drawn is a card of spade or an Ace:

52

13

+

52

4

−

52

1

=

52

16

=

13

4

(ii) Probability of the card drawn is a black king:

Total black kings: 2

Probability of the card drawn is a black king:

52

2

=

26

1

(iii) Probability of the card drawn is neither a jack nor a king

Total jacks =4

Total Kings =4

Probability of the card drawn is neither a jack nor a king:

1−

52

4+4

=

13

11

(iv) Probability of the card drawn is either a king or a queen:

Total Queens =4

Total Kings =4

Probability of the card drawn is either a king or a queen:

52

4+4

=

13

2

hope it helps u mate.........

Answer:

1)1/4 2)2/13 3)11/13

Step-by-step explanation:

1) A card of spade

Total outcomes= 52(total number of cards)

Favorable outcomes= {(1 of spade)(2 of spade)(3 of spade)(4 of spade)(5 of spade)(6 of spade)(7 of spade)(8 of spade)(9 of spade)(10 of spade)(Jack of spade)(1]Queen of spade)(King of spade)}=13

Therefore the probability is (Favorable outcomes)/ Total outcomes=13/52=1/4

2. either a king or queen

Total outcomes= 52(total number of cards)

Favorable outcomes= {(Queen of spades)(Queen of diamond)(Queen of heart)(Queen of clubs)(King of spades)(King of clubs)(King of diamond)(King of heart)}=8

Therefore the probability is (Favorable outcomes)/ Total outcomes=8/52=2/13

3.neither a jack nor a queen

Total outcomes= 52(total number of cards)

Favorable outcomes= Total outcomes- non favorable outcomes

Non favorable outcomes={(Queen of spades)(Queen of diamond)(Queen of heart)(Queen of clubs)(Jack of spades)(Jack of clubs)(Jack of diamond)(Jack of heart)}=8

Probability=(Total outcomes-non favorable outcomes)/total outcomes= 44/52=11/13